diff --git a/python/sglang/multimodal_gen/configs/models/dits/stablediffusion3.py b/python/sglang/multimodal_gen/configs/models/dits/stablediffusion3.py
index cbe3141b7..feb32ebec 100644
--- a/python/sglang/multimodal_gen/configs/models/dits/stablediffusion3.py
+++ b/python/sglang/multimodal_gen/configs/models/dits/stablediffusion3.py
@@ -35,3 +35,4 @@ class StableDiffusion3TransformerConfig(DiTConfig):
     arch_config: StableDiffusion3TransformerArchConfig = field(
         default_factory=StableDiffusion3TransformerArchConfig
     )
+    prefix: str = "SD3"
diff --git a/python/sglang/multimodal_gen/configs/sample/sampling_params.py b/python/sglang/multimodal_gen/configs/sample/sampling_params.py
index c5636c507..7390f8f62 100644
--- a/python/sglang/multimodal_gen/configs/sample/sampling_params.py
+++ b/python/sglang/multimodal_gen/configs/sample/sampling_params.py
@@ -207,6 +207,10 @@ class SamplingParams:
         None  # TeaCacheParams or WanTeaCacheParams, set by model-specific subclass
     )
 
+    # Spectrum parameters
+    enable_spectrum: bool = False
+    spectrum_params: Any = None  # SpectrumParams
+
     # Profiling
     profile: bool = field(default=False, metadata={"batch_sig_exclude": True})
     num_profiled_timesteps: int = field(default=5, metadata={"batch_sig_exclude": True})
@@ -330,6 +334,16 @@ class SamplingParams:
         if env_steps is not None and self.num_inference_steps is not None:
             self.num_inference_steps = int(env_steps)
 
+        if self.enable_spectrum and isinstance(self.spectrum_params, dict):
+            from sglang.multimodal_gen.configs.sample.spectrum import SpectrumParams
+
+            self.spectrum_params = SpectrumParams(**self.spectrum_params)
+
+        if self.enable_spectrum and self.spectrum_params is None:
+            from sglang.multimodal_gen.configs.sample.spectrum import SpectrumParams
+
+            self.spectrum_params = SpectrumParams()
+
     def build_request_extra(self) -> dict[str, Any]:
         """Return optional request-scoped extras for downstream pipeline stages."""
         extra = {}
@@ -547,6 +561,11 @@ class SamplingParams:
                     f"boundary_ratio must be within [0, 1], got {self.boundary_ratio!r}"
                 )
 
+        if self.enable_teacache and self.enable_spectrum:
+            raise ValueError(
+                "enable_teacache and enable_spectrum are mutually exclusive; enable only one."
+            )
+
         RLRolloutArgs.validate_sampling_params(self)
 
     def check_sampling_param(self):
@@ -869,6 +888,69 @@ class SamplingParams:
             "--enable-teacache",
             action="store_true",
         )
+        add_argument(
+            "--enable-spectrum",
+            action="store_true",
+        )
+        add_argument("--w", type=float)
+        add_argument(
+            "--taylor-order",
+            "--taylor_order",
+            dest="taylor_order",
+            type=int,
+        )
+        add_argument(
+            "--history-size",
+            "--history_size",
+            dest="history_size",
+            type=int,
+        )
+        add_argument(
+            "--spectrum-window-size",
+            "--spectrum_window_size",
+            "--window-size",
+            "--window_size",
+            dest="spectrum_window_size",
+            type=float,
+            help="Spectrum initial skip window size.",
+        )
+        add_argument(
+            "--spectrum-flex-window",
+            "--spectrum_flex_window",
+            "--flex-window",
+            "--flex_window",
+            dest="spectrum_flex_window",
+            type=float,
+            help="Spectrum adaptive window growth slope.",
+        )
+        add_argument(
+            "--spectrum-warmup-steps",
+            "--spectrum_warmup_steps",
+            dest="spectrum_warmup_steps",
+            type=int,
+            help="Spectrum warmup denoising steps before caching.",
+        )
+        add_argument(
+            "--spectrum-m",
+            "--spectrum_m",
+            dest="spectrum_m",
+            type=int,
+            help="Spectrum Chebyshev polynomial degree (M).",
+        )
+        add_argument(
+            "--spectrum-lam",
+            "--spectrum_lam",
+            dest="spectrum_lam",
+            type=float,
+            help="Spectrum ridge regularization strength.",
+        )
+        add_argument(
+            "--spectrum-tau-num-steps",
+            "--spectrum_tau_num_steps",
+            dest="spectrum_tau_num_steps",
+            type=int,
+            help="Spectrum tau normalization horizon.",
+        )
 
         # profiling
         add_argument(
@@ -1299,6 +1381,34 @@ class SamplingParams:
         }
         if isinstance(cli_args.get("seed"), list) and len(cli_args["seed"]) == 1:
             cli_args["seed"] = cli_args["seed"][0]
+
+        spectrum_overrides = {}
+        spectrum_flag_map = {
+            "w": "w",
+            "taylor_order": "taylor_order",
+            "window_size": "spectrum_window_size",
+            "flex_window": "spectrum_flex_window",
+            "history_size": "history_size",
+            "warmup_steps": "spectrum_warmup_steps",
+            "m": "spectrum_m",
+            "lam": "spectrum_lam",
+            "tau_num_steps": "spectrum_tau_num_steps",
+        }
+        for field_name, arg_name in spectrum_flag_map.items():
+            if hasattr(args, arg_name) and getattr(args, arg_name) is not None:
+                spectrum_overrides[field_name] = getattr(args, arg_name)
+        if spectrum_overrides:
+            if not cli_args.get("enable_spectrum", False):
+                logger.info(
+                    "Spectrum override flags were provided without --enable-spectrum; "
+                    "auto-enabling Spectrum caching."
+                )
+                cli_args["enable_spectrum"] = True
+            existing_spectrum_params = cli_args.get("spectrum_params")
+            if isinstance(existing_spectrum_params, dict):
+                spectrum_overrides = {**existing_spectrum_params, **spectrum_overrides}
+            cli_args["spectrum_params"] = spectrum_overrides
+
         return cli_args
 
     def output_file_path(self):
diff --git a/python/sglang/multimodal_gen/configs/sample/spectrum.py b/python/sglang/multimodal_gen/configs/sample/spectrum.py
new file mode 100644
index 000000000..b3cf0d7ed
--- /dev/null
+++ b/python/sglang/multimodal_gen/configs/sample/spectrum.py
@@ -0,0 +1,93 @@
+# SPDX-License-Identifier: Apache-2.0
+from __future__ import annotations
+
+from dataclasses import dataclass
+
+from sglang.multimodal_gen.configs.sample.sampling_params import CacheParams
+
+
+@dataclass
+class SpectrumParams(CacheParams):
+    """
+    Parameters for [Spectrum](https://arxiv.org/abs/2603.01623) spectral feature
+    forecasting.
+
+    Attributes:
+        cache_type: (`str`, defaults to `spectrum`):
+            A string labeling these parameters as belonging to spectrum.
+        window_size (`float`, defaults to `2.0`):
+            Initial skip window size (paper: N). After warmup, a real forward is
+            run every `floor(window_size)` consecutive cached steps; when a real
+            forward runs, the window grows by `flex_window`. Recommended: `2.0`.
+        flex_window (`float`, defaults to `0.75`):
+            Adaptive window slope (paper: alpha). Controls how quickly skip intervals
+            widen as sampling progresses. Recommended: `0.75` for ~3.5x speedup,
+            `3.0` for ~5x speedup (fewer network evaluations, lower quality).
+        warmup_steps (`int`, defaults to `5`):
+            Number of initial forward passes that always run the full DiT before
+            Spectrum caching begins. Early steps define global structure and are
+            kept exact in the paper setup.
+        w (`float`, defaults to `1.0`):
+            Blend weight between a local Taylor predictor and the Chebyshev
+            spectral predictor (``(1 - w) * h_taylor + w * h_cheb``). This
+            mix is not in the paper; ``w=1.0`` is pure Chebyshev and matches
+            the [reference repo](https://github.com/hanjq17/Spectrum#-text-to-image-t2i)
+            default. They recommend ``0.5``–``1.0`` for extra robustness.
+        lam (`float`, defaults to `0.1`):
+            Ridge regularization strength (lambda) when fitting Chebyshev
+            coefficients over recent cached features.
+        m (`int`, defaults to `4`):
+            Number of Chebyshev bases (polynomial degree M). The design matrix has
+            `M + 1` columns.
+        history_size (`int`, defaults to `100`):
+            Maximum number of recent (step, feature) pairs kept for coefficient
+            fitting (paper reference code uses a sliding window of up to 100).
+        tau_num_steps (`int`, defaults to `50`):
+            Denominator for mapping denoising step indices to Chebyshev time
+            ``tau in [-1, 1]``. The reference repo hardcodes 50 regardless of
+            ``num_inference_steps``; keep this at 50 unless you know you need
+            another horizon.
+        taylor_order (`int`, defaults to `1`):
+            Order of the local discrete Taylor fallback used in the blend when
+            `w < 1.0`. Supported values: `1`, `2`, or `3`.
+        separate_cfg_branches (not a field — determined by the DiT model):
+            Wan, Hunyuan, and SD3 maintain independent Spectrum state per CFG
+            branch. Other ``CachableDiT`` models use one counter for all
+            forwards; see ``get_total_forward_steps()``.
+    """
+
+    cache_type: str = "spectrum"
+    window_size: float = 2.0
+    flex_window: float = 0.75
+    warmup_steps: int = 5
+    w: float = 1.0
+    lam: float = 0.1
+    m: int = 4
+    history_size: int = 100
+    tau_num_steps: int = 50
+    taylor_order: int = 1
+
+    def get_total_forward_steps(
+        self, num_inference_steps: int, do_cfg: bool, separate_cfg_branches: bool
+    ) -> int:
+        """How many DiT forward calls one Spectrum counter sees per generation.
+
+        Used by (1) ``ChebyshevForecaster`` to map step indices onto [-1, 1] and
+        by (2) ``begin_spectrum_step`` to wrap branch counters at end-of-run.
+        Not used for logging.
+
+        - **Separate counters** (Wan, Hunyuan, SD3): each CFG branch has its own
+          ``spectrum_cnt`` / forecaster. Every denoising step triggers one cond
+          forward and one uncond forward, but each counter only advances on its
+          branch → ``num_inference_steps`` calls per counter.
+
+        - **Single counter** (FLUX, …): one counter interleaves cond and
+          uncond forwards when CFG is enabled → ``2 * num_inference_steps`` calls.
+          FLUX.1-dev uses embedded guidance (no true CFG), so this path is
+          normally single-branch in practice.
+
+        When CFG is off, every model performs one forward per denoising step.
+        """
+        if do_cfg and not separate_cfg_branches:
+            return num_inference_steps * 2
+        return num_inference_steps
diff --git a/python/sglang/multimodal_gen/runtime/cache/__init__.py b/python/sglang/multimodal_gen/runtime/cache/__init__.py
index 62f0f8457..eb95a42fb 100644
--- a/python/sglang/multimodal_gen/runtime/cache/__init__.py
+++ b/python/sglang/multimodal_gen/runtime/cache/__init__.py
@@ -6,6 +6,7 @@ This module provides various caching strategies to accelerate
 diffusion transformer (DiT) inference:
 
 - TeaCache: Temporal similarity-based caching for diffusion models
+- Spectrum: Chebyshev spectral feature forecasting for step skipping
 - cache-dit integration: Block-level caching with DBCache and TaylorSeer
 
 """
@@ -16,12 +17,15 @@ from sglang.multimodal_gen.runtime.cache.cache_dit_integration import (
     enable_cache_on_transformer,
     get_scm_mask,
 )
+from sglang.multimodal_gen.runtime.cache.spectrum import SpectrumMixin
 from sglang.multimodal_gen.runtime.cache.teacache import TeaCacheContext, TeaCacheMixin
 
 __all__ = [
     # TeaCache (always available)
     "TeaCacheContext",
     "TeaCacheMixin",
+    # Spectrum (always available)
+    "SpectrumMixin",
     # cache-dit integration (lazy-loaded, requires cache-dit package)
     "CacheDitConfig",
     "enable_cache_on_transformer",
diff --git a/python/sglang/multimodal_gen/runtime/cache/spectrum.py b/python/sglang/multimodal_gen/runtime/cache/spectrum.py
new file mode 100644
index 000000000..abc03f84f
--- /dev/null
+++ b/python/sglang/multimodal_gen/runtime/cache/spectrum.py
@@ -0,0 +1,645 @@
+# SPDX-License-Identifier: Apache-2.0
+"""
+Spectrum: Adaptive Spectral Feature Forecasting for diffusion sampling acceleration.
+
+Training-free step skipping with Chebyshev polynomial ridge regression over
+denoiser block outputs. See https://arxiv.org/abs/2603.01623
+"""
+
+from __future__ import annotations
+
+import logging
+import math
+from dataclasses import dataclass
+from typing import TYPE_CHECKING, Optional
+
+import torch
+import torch.nn as nn
+
+if TYPE_CHECKING:
+    from sglang.multimodal_gen.configs.sample.spectrum import SpectrumParams
+
+
+logger = logging.getLogger(__name__)
+
+
+def _flatten(x: torch.Tensor) -> tuple[torch.Tensor, torch.Size]:
+    """Reshape tensor to (1, -1) for ridge regression, preserving original shape."""
+    return x.reshape(1, -1), x.shape
+
+
+def _unflatten(x_flat: torch.Tensor, shape: torch.Size) -> torch.Tensor:
+    """Restore flattened tensor to original shape."""
+    return x_flat.reshape(shape)
+
+
+def _is_missing_linalg_backend_error(err: RuntimeError) -> bool:
+    """Detect the "no LAPACK / no MAGMA" RuntimeError PyTorch raises when the
+    build lacks a linear algebra backend for the tensor's device.
+
+    Some PyTorch builds (notably several ROCm wheels) ship without LAPACK for
+    CPU tensors *and* without MAGMA for CUDA/HIP tensors, making
+    ``torch.linalg.cholesky``/``torch.cholesky_solve`` unusable on any device.
+    """
+    msg = str(err)
+    return "LAPACK" in msg or "MAGMA" in msg
+
+
+def _cholesky_lower(a: torch.Tensor) -> torch.Tensor:
+    """Cholesky factorization ``A = L @ L.T`` without ``torch.linalg``.
+
+    Used as a fallback when the backend has no LAPACK/MAGMA support. ``a`` is
+    expected to be tiny (Chebyshev design matrix size), so the Python-level
+    loop is cheap.
+    """
+    n = a.shape[0]
+    L = torch.zeros_like(a)
+    for i in range(n):
+        for j in range(i + 1):
+            s = L[i, :j] @ L[j, :j]
+            if i == j:
+                L[i, j] = torch.sqrt(a[i, i] - s)
+            else:
+                L[i, j] = (a[i, j] - s) / L[j, j]
+    return L
+
+
+def _cholesky_solve_lower(l: torch.Tensor, b: torch.Tensor) -> torch.Tensor:
+    """Solve ``(L @ L.T) @ x = b`` given lower-triangular Cholesky factor ``l``."""
+    n = l.shape[0]
+    y = torch.zeros_like(b)
+    for i in range(n):
+        y[i] = (b[i] - l[i, :i] @ y[:i]) / l[i, i]
+    x = torch.zeros_like(b)
+    for i in reversed(range(n)):
+        x[i] = (y[i] - l[i + 1 :, i] @ x[i + 1 :]) / l[i, i]
+    return x
+
+
+def _ridge_cholesky_solve(xtx: torch.Tensor, xth: torch.Tensor) -> torch.Tensor:
+    """Solve the ridge normal equations ``xtx @ coef = xth`` via Cholesky.
+
+    Prefers ``torch.linalg.cholesky``/``torch.cholesky_solve``, retrying once
+    with jitter if ``xtx`` is only marginally non-positive-definite. Falls
+    back to a manual, LAPACK/MAGMA-free Cholesky solve when the backend has
+    no linear algebra support at all for this device (see
+    `_is_missing_linalg_backend_error`).
+    """
+    p = xtx.shape[0]
+    eye = torch.eye(p, device=xtx.device, dtype=xtx.dtype)
+    try:
+        chol = torch.linalg.cholesky(xtx)
+        return torch.cholesky_solve(xth, chol)
+    except RuntimeError as e:
+        if _is_missing_linalg_backend_error(e):
+            chol = _cholesky_lower(xtx)
+            if not torch.isfinite(chol).all():
+                jitter = 1e-6 * xtx.diag().mean()
+                chol = _cholesky_lower(xtx + jitter * eye)
+            return _cholesky_solve_lower(chol, xth)
+        jitter = 1e-6 * xtx.diag().mean()
+        chol = torch.linalg.cholesky(xtx + jitter * eye)
+        return torch.cholesky_solve(xth, chol)
+
+
+class ChebyshevForecaster(nn.Module):
+    """Chebyshev-basis ridge regression forecaster over diffusion step index.
+
+    Keeps a sliding window of (step, flattened_feature) pairs from recent *real*
+    DiT forwards. On predict(), fits ridge regression coefficients for Chebyshev
+    bases T_0..T_M on normalized time, then evaluates at the requested step.
+    """
+
+    def __init__(
+        self,
+        M: int = 4,
+        K: int = 100,
+        lam: float = 0.1,
+        num_steps: int = 50,
+        device: Optional[torch.device] = None,
+        feature_shape: Optional[torch.Size] = None,
+    ) -> None:
+        super().__init__()
+        self.M = M
+        self.K = K
+        self.lam = lam
+        self.num_steps = num_steps
+        # Preallocated (K,) / (K, N) ring buffer, written in place by update().
+        self.register_buffer("t_buf", torch.empty(0))
+        self._H_buf: Optional[torch.Tensor] = None
+        self._write_idx = 0
+        self._count = 0
+        self._shape: Optional[torch.Size] = feature_shape
+        self._feature_dtype: Optional[torch.dtype] = None
+        self._coef: Optional[torch.Tensor] = None
+        self.device_ref = device
+        self._tau_scale = 2.0 / float(self.num_steps) if self.num_steps != 0 else 0.0
+
+    @property
+    def P(self) -> int:
+        return self.M + 1
+
+    def _taus(self, t: torch.Tensor) -> torch.Tensor:
+        """Normalize timesteps to [-1, 1] range for Chebyshev basis."""
+        if self.num_steps == 0:
+            return torch.zeros_like(t)
+        return t * self._tau_scale - 1.0
+
+    def _build_design(self, taus: torch.Tensor) -> torch.Tensor:
+        """Build Chebyshev basis design matrix [T_0(tau), T_1(tau), ..., T_M(tau)]."""
+        taus = taus.reshape(-1, 1)
+        k = taus.shape[0]
+        t0 = torch.ones((k, 1), device=taus.device, dtype=taus.dtype)
+        if self.M == 0:
+            return t0
+        t1 = taus
+        cols = [t0, t1]
+        for _ in range(2, self.M + 1):
+            cols.append(2 * taus * cols[-1] - cols[-2])
+        return torch.cat(cols[: self.M + 1], dim=1)
+
+    def update(self, t: float | torch.Tensor, h: torch.Tensor) -> None:
+        device = self.device_ref or h.device
+        t_tensor = torch.as_tensor(t, dtype=torch.float32, device=device)
+        h_flat, shape = _flatten(h)
+        if self._feature_dtype is None:
+            self._feature_dtype = h_flat.dtype
+        h_flat = h_flat.to(device).to(torch.float32)
+        if self._shape is None:
+            self._shape = shape
+        else:
+            assert shape == self._shape, "Spectrum feature shape must remain constant"
+
+        if self._H_buf is None:
+            # Preallocate the ring buffer once the flattened feature size is known
+            self.t_buf = torch.zeros(self.K, dtype=torch.float32, device=device)
+            self._H_buf = torch.zeros(
+                self.K, h_flat.shape[1], dtype=torch.float32, device=device
+            )
+
+        self.t_buf[self._write_idx] = t_tensor
+        self._H_buf[self._write_idx] = h_flat[0]
+        self._write_idx = (self._write_idx + 1) % self.K
+        self._count = min(self._count + 1, self.K)
+
+        # Invalidate cached ridge coefficients; will be refit on next predict()
+        self._coef = None
+
+    def _recent(self, n: int) -> tuple[torch.Tensor, torch.Tensor]:
+        """Return the last `min(n, count)` valid (t, h) entries in chronological
+        order (oldest first, most recent last).
+
+        Only used by the discrete Taylor blend, which needs true temporal
+        order for its finite differences (unlike the ridge fit, see
+        `_fit_if_needed`). `n` is small (<= taylor_order + 1), so even the
+        rare wraparound `cat` below is cheap.
+        """
+        count = min(self._count, n)
+        start = (self._write_idx - count) % self.K
+        if start + count <= self.K:
+            # Contiguous window -- cheap view, no copy.
+            return self.t_buf[start : start + count], self._H_buf[start : start + count]
+        # Wraps past the end of the physical buffer -- must reorder.
+        tail = self.K - start
+        t = torch.cat([self.t_buf[start:], self.t_buf[: count - tail]])
+        h = torch.cat([self._H_buf[start:], self._H_buf[: count - tail]])
+        return t, h
+
+    def ready(self) -> bool:
+        return self._count >= 1
+
+    def _fit_if_needed(self) -> None:
+        """Fit ridge regression coefficients on cached (t, h) pairs if not cached."""
+        if self._coef is not None:
+            return
+        assert self.ready()
+        assert self._H_buf is not None
+        assert self._feature_dtype is not None
+        feature_dtype = self._feature_dtype
+        t, h = self.t_buf[: self._count], self._H_buf[: self._count]
+        taus = self._taus(t)
+        # Ridge solve in fp32; autocast would keep matmuls in bf16 and break
+        # torch.cholesky_solve dtype requirements.
+        with torch.autocast(device_type=self._H_buf.device.type, enabled=False):
+            x = self._build_design(taus).to(torch.float32)
+            p = x.shape[1]
+            lam_i = self.lam * torch.eye(p, device=x.device, dtype=x.dtype)
+            xt = x.transpose(0, 1)
+            xtx = xt @ x + lam_i
+            xth = xt @ h
+            self._coef = _ridge_cholesky_solve(xtx, xth).to(feature_dtype)
+
+    @torch.no_grad()
+    def predict(self, t_star: float | torch.Tensor) -> torch.Tensor:
+        assert self._shape is not None
+        device = self.t_buf.device
+        t_star = torch.as_tensor(t_star, dtype=torch.float32, device=device)
+        self._fit_if_needed()
+        assert self._coef is not None
+        tau_star = self._taus(t_star)
+        x_star = self._build_design(tau_star[None]).to(self._coef.dtype)
+        h_flat = x_star @ self._coef
+        return _unflatten(h_flat, self._shape)
+
+
+class SpectrumForecaster(nn.Module):
+    """Chebyshev + discrete Taylor blend forecaster.
+
+    The paper uses pure Chebyshev; the reference repo blends with a local
+    discrete Taylor predictor. ``w=1`` is Chebyshev-only; lower ``w`` adds Taylor.
+    """
+
+    def __init__(
+        self,
+        cheb: ChebyshevForecaster,
+        *,
+        taylor_order: int = 1,
+        w: float = 1.0,
+    ) -> None:
+        super().__init__()
+        self.cheb = cheb
+        self.taylor_order = taylor_order
+        self.w = w
+
+    @torch.no_grad()
+    def _local_taylor_discrete(self, t_star: torch.Tensor) -> torch.Tensor:
+        """Predict hidden state at t_star using discrete Taylor expansion from recent real steps."""
+        assert self.cheb._H_buf is not None
+        assert self.cheb._shape is not None
+        assert self.cheb._feature_dtype is not None
+        feature_dtype = self.cheb._feature_dtype
+        t, h = self.cheb._recent(self.taylor_order + 1)
+        h_i = h[-1]
+        if t.numel() < 2:
+            return _unflatten(h_i.reshape(1, -1), self.cheb._shape).to(feature_dtype)
+        h_im1 = h[-2]
+        t_i = t[-1]
+        t_im1 = t[-2]
+        dh1 = h_i - h_im1
+        dt_last = (t_i - t_im1).clamp_min(1e-8)
+        k = ((t_star - t_i) / dt_last).to(h_i.dtype)
+        out = h_i + k * dh1
+        if self.taylor_order >= 2 and t.numel() >= 3:
+            h_im2 = h[-3]
+            d2 = h_i - 2 * h_im1 + h_im2
+            out = out + 0.5 * k * (k - 1.0) * d2
+        if self.taylor_order >= 3 and t.numel() >= 4:
+            h_im3 = h[-4]
+            d3 = h_i - 3 * h_im1 + 3 * h_im2 - h_im3
+            out = out + (k * (k - 1.0) * (k - 2.0) / 6.0) * d3
+        return _unflatten(out.reshape(1, -1), self.cheb._shape).to(feature_dtype)
+
+    @torch.no_grad()
+    def predict(self, t_star: float | torch.Tensor) -> torch.Tensor:
+        """Blend Chebyshev regression and local Taylor predictions."""
+        device = self.cheb.t_buf.device
+        t_star = torch.as_tensor(t_star, dtype=torch.float32, device=device)
+        if self.w >= 1.0:
+            return self.cheb.predict(t_star)
+        elif self.w <= 0.0:
+            return self._local_taylor_discrete(t_star)
+        return torch.lerp(
+            self._local_taylor_discrete(t_star), self.cheb.predict(t_star), self.w
+        )
+
+    def update(self, t, h) -> None:
+        self.cheb.update(t, h)
+
+    def ready(self) -> bool:
+        return self.cheb.ready()
+
+
+@dataclass
+class SpectrumContext:
+    current_step: int
+    num_inference_steps: int
+    total_forward_steps: int
+    do_cfg: bool
+    is_cfg_negative: bool
+    spectrum_params: SpectrumParams
+    debug: bool
+
+
+class SpectrumMixin:
+    """Mixin providing Spectrum step-skipping and feature forecasting.
+
+    Wired into ``CachableDiT`` (see ``runtime/models/dits/base.py``). Concrete
+    models call three hooks from ``forward()`` around their transformer blocks:
+
+    - ``begin_spectrum_step()`` — advance skip schedule; returns whether to run
+      blocks or forecast instead.
+    - ``spectrum_record_features()`` — after a real forward, store block outputs.
+    - ``spectrum_predict_features()`` — on skipped steps, return forecasted outputs.
+
+    Models with separate CFG branches (Wan, Hunyuan, SD3) list their config prefix
+    in ``_CFG_SUPPORTED_PREFIXES`` so cond/uncond maintain independent counters and
+    forecasters. All other ``CachableDiT`` subclasses share one counter.
+    """
+
+    # DiT config prefixes that run separate cond/uncond forwards (see TeaCache).
+    _CFG_SUPPORTED_PREFIXES: set[str] = {"wan", "hunyuan", "sd3"}
+
+    def _init_spectrum_state(self) -> None:
+        """Initialize Spectrum state variables. Dual-branch models (Wan, Hunyuan) track separate
+        cond/uncond forecasters and counters; others share one.
+        """
+        # Positive branch (cond) or single-branch state
+        self.spectrum_cnt = 0
+        self.spectrum_num_consecutive_cached_steps = 0
+        self.spectrum_curr_ws: Optional[float] = None
+        self.spectrum_forecaster: Optional[SpectrumForecaster] = None
+        self.spectrum_real_steps = 0
+        self.spectrum_skipped_steps = 0
+        self.spectrum_shadow_rel_l2_sum = 0.0
+        self.spectrum_shadow_rel_l2_count = 0
+
+        # Negative branch (uncond) state for dual-branch CFG models
+        self.spectrum_cnt_negative = 0
+        self.spectrum_num_consecutive_cached_steps_negative = 0
+        self.spectrum_curr_ws_negative: Optional[float] = None
+        self.spectrum_forecaster_negative: Optional[SpectrumForecaster] = None
+        self.spectrum_real_steps_negative = 0
+        self.spectrum_skipped_steps_negative = 0
+        self.spectrum_shadow_rel_l2_sum_negative = 0.0
+        self.spectrum_shadow_rel_l2_count_negative = 0
+
+        # Runtime branch tracking
+        self.spectrum_is_cfg_negative = False
+        self._spectrum_ctx: Optional[SpectrumContext] = None
+        prefix = getattr(self.config, "prefix", "").lower()
+        self._spectrum_supports_cfg_cache = prefix in self._CFG_SUPPORTED_PREFIXES
+
+    def reset_spectrum_state(self, spectrum_params: SpectrumParams) -> None:
+        self.spectrum_cnt = 0
+        self.spectrum_num_consecutive_cached_steps = 0
+        self.spectrum_curr_ws = spectrum_params.window_size
+        self.spectrum_forecaster = None
+        self.spectrum_is_cfg_negative = False
+        self.spectrum_real_steps = 0
+        self.spectrum_skipped_steps = 0
+        self.spectrum_shadow_rel_l2_sum = 0.0
+        self.spectrum_shadow_rel_l2_count = 0
+        if self._spectrum_supports_cfg_cache:
+            self.spectrum_cnt_negative = 0
+            self.spectrum_num_consecutive_cached_steps_negative = 0
+            self.spectrum_curr_ws_negative = spectrum_params.window_size
+            self.spectrum_forecaster_negative = None
+            self.spectrum_real_steps_negative = 0
+            self.spectrum_skipped_steps_negative = 0
+            self.spectrum_shadow_rel_l2_sum_negative = 0.0
+            self.spectrum_shadow_rel_l2_count_negative = 0
+
+    def _get_spectrum_branch_state(self) -> tuple[int, int, float]:
+        """Get schedule state for current branch (cond or uncond)."""
+        if self.spectrum_is_cfg_negative and self._spectrum_supports_cfg_cache:
+            return (
+                self.spectrum_cnt_negative,
+                self.spectrum_num_consecutive_cached_steps_negative,
+                self.spectrum_curr_ws_negative or 0.0,
+            )
+        return (
+            self.spectrum_cnt,
+            self.spectrum_num_consecutive_cached_steps,
+            self.spectrum_curr_ws or 0.0,
+        )
+
+    def _set_spectrum_branch_state(
+        self, cnt: int, consecutive: int, curr_ws: float
+    ) -> None:
+        """Set schedule state for current branch (cond or uncond)."""
+        if self.spectrum_is_cfg_negative and self._spectrum_supports_cfg_cache:
+            self.spectrum_cnt_negative = cnt
+            self.spectrum_num_consecutive_cached_steps_negative = consecutive
+            self.spectrum_curr_ws_negative = curr_ws
+        else:
+            self.spectrum_cnt = cnt
+            self.spectrum_num_consecutive_cached_steps = consecutive
+            self.spectrum_curr_ws = curr_ws
+
+    def _get_spectrum_forecaster(self) -> Optional[SpectrumForecaster]:
+        """Get forecaster for current branch (cond or uncond)."""
+        if self.spectrum_is_cfg_negative and self._spectrum_supports_cfg_cache:
+            return self.spectrum_forecaster_negative
+        return self.spectrum_forecaster
+
+    def _set_spectrum_forecaster(self, forecaster: SpectrumForecaster) -> None:
+        """Set forecaster for current branch (cond or uncond)."""
+        if self.spectrum_is_cfg_negative and self._spectrum_supports_cfg_cache:
+            self.spectrum_forecaster_negative = forecaster
+        else:
+            self.spectrum_forecaster = forecaster
+
+    def _get_spectrum_context(self) -> Optional[SpectrumContext]:
+        """Retrieve current Spectrum context from forward batch. Returns None if disabled."""
+        from sglang.multimodal_gen.runtime.managers.forward_context import (
+            get_forward_context,
+        )
+
+        try:
+            forward_context = get_forward_context()
+        except AssertionError:
+            return None
+        forward_batch = forward_context.forward_batch
+        if (
+            forward_batch is None
+            or not forward_batch.enable_spectrum
+            or forward_batch.spectrum_params is None
+        ):
+            return None
+
+        spectrum_params = forward_batch.spectrum_params
+        do_cfg = forward_batch.do_classifier_free_guidance
+        is_cfg_negative = forward_batch.is_cfg_negative
+        num_inference_steps = forward_batch.num_inference_steps
+        total_forward_steps = spectrum_params.get_total_forward_steps(
+            num_inference_steps,
+            do_cfg,
+            self._spectrum_supports_cfg_cache,
+        )
+
+        return SpectrumContext(
+            current_step=forward_context.current_timestep,
+            num_inference_steps=num_inference_steps,
+            total_forward_steps=total_forward_steps,
+            do_cfg=do_cfg,
+            is_cfg_negative=is_cfg_negative,
+            spectrum_params=spectrum_params,
+            debug=bool(getattr(forward_batch, "debug", False)),
+        )
+
+    def _record_spectrum_step_stat(self, actual_forward: bool) -> None:
+        if self.spectrum_is_cfg_negative and self._spectrum_supports_cfg_cache:
+            if actual_forward:
+                self.spectrum_real_steps_negative += 1
+            else:
+                self.spectrum_skipped_steps_negative += 1
+            return
+
+        if actual_forward:
+            self.spectrum_real_steps += 1
+        else:
+            self.spectrum_skipped_steps += 1
+
+    def _record_shadow_error_stat(self, rel_l2: float) -> None:
+        if self.spectrum_is_cfg_negative and self._spectrum_supports_cfg_cache:
+            self.spectrum_shadow_rel_l2_sum_negative += rel_l2
+            self.spectrum_shadow_rel_l2_count_negative += 1
+            return
+
+        self.spectrum_shadow_rel_l2_sum += rel_l2
+        self.spectrum_shadow_rel_l2_count += 1
+
+    def _emit_spectrum_summary(self, ctx: SpectrumContext) -> None:
+        if not ctx.debug:
+            return
+
+        if self.spectrum_is_cfg_negative and self._spectrum_supports_cfg_cache:
+            real = self.spectrum_real_steps_negative
+            skipped = self.spectrum_skipped_steps_negative
+            err_sum = self.spectrum_shadow_rel_l2_sum_negative
+            err_count = self.spectrum_shadow_rel_l2_count_negative
+            branch = "negative"
+        else:
+            real = self.spectrum_real_steps
+            skipped = self.spectrum_skipped_steps
+            err_sum = self.spectrum_shadow_rel_l2_sum
+            err_count = self.spectrum_shadow_rel_l2_count
+            branch = "positive"
+
+        total = real + skipped
+        skip_ratio = (skipped / total) if total > 0 else 0.0
+        avg_rel_l2 = (err_sum / err_count) if err_count > 0 else float("nan")
+        logger.info(
+            "[Spectrum/%s] total=%d real=%d skipped=%d skip_ratio=%.3f shadow_rel_l2_avg=%s n=%d window_start=%.3f flex=%.3f",
+            branch,
+            total,
+            real,
+            skipped,
+            skip_ratio,
+            f"{avg_rel_l2:.4f}" if err_count > 0 else "NA",
+            err_count,
+            float(ctx.spectrum_params.window_size),
+            float(ctx.spectrum_params.flex_window),
+        )
+
+    def begin_spectrum_step(self) -> bool:
+        """Advance Spectrum schedule. Returns True when transformer blocks should run.
+
+        Schedule (after ``warmup_steps`` real forwards):
+        - ``window = floor(curr_ws)`` — run a real forward when
+          ``(consecutive_cached + 1) % window == 0``, otherwise skip.
+        - Each real forward increases ``curr_ws`` by ``flex_window``, widening
+          gaps over time (paper alpha).
+        """
+        ctx = self._get_spectrum_context()
+        self._spectrum_ctx = ctx
+        if ctx is None:
+            # Spectrum disabled — always run blocks (normal DiT path).
+            return True
+
+        # Reset at the very first denoising step of each generation.
+        # Only the positive (or sole) branch triggers the reset so that:
+        # - single-branch models (FLUX, Hunyuan embedded guidance) reset once.
+        # - dual-branch models (Wan with true CFG) reset both counters from the
+        #   positive-branch call and leave the negative-branch call unaffected,
+        #   keeping both branches synchronised (both start at cnt=0 → cnt=1).
+        # Doing the reset here (not inside _get_spectrum_context) guarantees it
+        # fires exactly once per step, preventing the double-reset that would
+        # desync the two branches.
+        if ctx.current_step == 0 and not ctx.is_cfg_negative:
+            if ctx.debug:
+                logger.info(
+                    "[Spectrum] Debug mode enables shadow-error validation; runtime perf is not representative of non-debug runs."
+                )
+            self.reset_spectrum_state(ctx.spectrum_params)
+
+        self.spectrum_is_cfg_negative = ctx.is_cfg_negative
+        params = ctx.spectrum_params
+        cnt, consecutive, curr_ws = self._get_spectrum_branch_state()
+
+        # Warmup: first ``warmup_steps`` calls on this branch always run the DiT.
+        actual_forward = True
+        if cnt >= params.warmup_steps:
+            # After warmup, skip most steps and only run a real forward every
+            # ``window`` cached steps. ``consecutive`` counts skips since last real.
+            window = max(1, math.floor(curr_ws))
+            actual_forward = (consecutive + 1) % window == 0
+            if actual_forward:
+                # Widen the gap for the next stretch (paper alpha / flex_window).
+                curr_ws += params.flex_window
+                curr_ws = round(curr_ws, 3)
+
+        # One denoising forward completed on this branch.
+        cnt += 1
+        if actual_forward:
+            consecutive = 0
+        else:
+            consecutive += 1
+        self._record_spectrum_step_stat(actual_forward)
+
+        # End-of-run wrap: after ``total_steps`` forwards on this branch, reset
+        # counters so state does not leak if the same module is reused. (A fresh
+        # run also resets via ``reset_spectrum_state`` at denoising timestep 0.)
+        total_steps = ctx.total_forward_steps
+        if cnt >= total_steps:
+            self._emit_spectrum_summary(ctx)
+            cnt = 0
+            consecutive = 0
+            curr_ws = params.window_size
+
+        self._set_spectrum_branch_state(cnt, consecutive, curr_ws)
+        return actual_forward
+
+    def spectrum_record_features(self, features: torch.Tensor) -> None:
+        """Append block outputs from a real forward to the branch forecaster."""
+        ctx = self._spectrum_ctx or self._get_spectrum_context()
+        if ctx is None:
+            return
+
+        params = ctx.spectrum_params
+        forecaster = self._get_spectrum_forecaster()
+        step_idx = float(ctx.current_step)
+
+        # Initialize forecaster on first real forward
+        if forecaster is None:
+            cheb = ChebyshevForecaster(
+                M=params.m,
+                K=params.history_size,
+                lam=params.lam,
+                num_steps=params.tau_num_steps,
+                device=features.device,
+                feature_shape=features.shape,
+            )
+            forecaster = SpectrumForecaster(
+                cheb, taylor_order=params.taylor_order, w=params.w
+            )
+            self._set_spectrum_forecaster(forecaster)
+
+        # In debug mode, compute shadow prediction error for validation
+        if ctx.debug and forecaster.ready() and step_idx >= float(params.warmup_steps):
+            predicted = forecaster.predict(step_idx).to(
+                dtype=features.dtype, device=features.device
+            )
+            pred_f = predicted.float()
+            feat_f = features.detach().float()
+            denom = torch.norm(feat_f).item()
+            if denom > 0:
+                rel_l2 = (torch.norm(pred_f - feat_f).item()) / denom
+                self._record_shadow_error_stat(rel_l2)
+
+        # Update forecaster with actual features from this real step
+        forecaster.update(step_idx, features.detach())
+        self._spectrum_ctx = None
+
+    def spectrum_predict_features(self, template: torch.Tensor) -> torch.Tensor:
+        """Return forecasted block outputs for a skipped step (same shape as template)."""
+        forecaster = self._get_spectrum_forecaster()
+        if forecaster is None or not forecaster.ready():
+            return template
+        ctx = self._spectrum_ctx or self._get_spectrum_context()
+        if ctx is None:
+            return template
+        step_idx = float(ctx.current_step)
+        predicted = forecaster.predict(step_idx)
+        self._spectrum_ctx = None
+        return predicted.to(dtype=template.dtype, device=template.device)
diff --git a/python/sglang/multimodal_gen/runtime/models/dits/base.py b/python/sglang/multimodal_gen/runtime/models/dits/base.py
index 9816f5fb0..75094ac98 100644
--- a/python/sglang/multimodal_gen/runtime/models/dits/base.py
+++ b/python/sglang/multimodal_gen/runtime/models/dits/base.py
@@ -9,6 +9,9 @@ from torch import nn
 
 from sglang.multimodal_gen.configs.models import DiTConfig
 
+# NOTE: SpectrumMixin lives in runtime.cache.spectrum
+from sglang.multimodal_gen.runtime.cache.spectrum import SpectrumMixin
+
 # NOTE: TeaCacheContext and TeaCacheMixin have been moved to
 # sglang.multimodal_gen.runtime.cache.teacache
 # For backwards compatibility, re-export from the new location
@@ -87,11 +90,13 @@ class BaseDiT(nn.Module, ABC):
         return next(self.parameters()).device
 
 
-class CachableDiT(TeaCacheMixin, BaseDiT):
+class CachableDiT(SpectrumMixin, TeaCacheMixin, BaseDiT):
     """
-    An intermediate base class that adds TeaCache optimization functionality to DiT models.
+    Base class for DiT models that support inference-time cache accelerators.
+
+    Inherits ``SpectrumMixin`` (Chebyshev step skipping) and ``TeaCacheMixin``
+    (temporal L1 similarity caching) plus ``BaseDiT`` core functionality.
 
-    Inherits TeaCacheMixin for cache logic and BaseDiT for core DiT functionality.
     """
 
     # These are required class attributes that should be overridden by concrete implementations
@@ -110,6 +115,7 @@ class CachableDiT(TeaCacheMixin, BaseDiT):
 
     def __init__(self, config: DiTConfig, **kwargs) -> None:
         super().__init__(config, **kwargs)
+        self._init_spectrum_state()
         self._init_teacache_state()
 
     @classmethod
diff --git a/python/sglang/multimodal_gen/runtime/models/dits/flux.py b/python/sglang/multimodal_gen/runtime/models/dits/flux.py
index 793cf0338..a5423edd5 100644
--- a/python/sglang/multimodal_gen/runtime/models/dits/flux.py
+++ b/python/sglang/multimodal_gen/runtime/models/dits/flux.py
@@ -66,6 +66,7 @@ from sglang.multimodal_gen.runtime.layers.visual_embedding import (
     CombinedTimestepGuidanceTextProjEmbeddings,
     CombinedTimestepTextProjEmbeddings,
 )
+from sglang.multimodal_gen.runtime.managers.forward_context import get_forward_context
 from sglang.multimodal_gen.runtime.managers.memory_managers.layerwise_offload import (
     LayerwiseOffloadableModuleMixin,
 )
@@ -1149,24 +1150,35 @@ class FluxTransformer2DModel(CachableDiT, LayerwiseOffloadableModuleMixin):
             ip_hidden_states = self.encoder_hid_proj(ip_adapter_image_embeds)
             joint_attention_kwargs.update({"ip_hidden_states": ip_hidden_states})
 
-        for block in self.transformer_blocks:
-            encoder_hidden_states, hidden_states = block(
-                hidden_states=hidden_states,
-                encoder_hidden_states=encoder_hidden_states,
-                temb=temb,
-                freqs_cis=freqs_cis,
-                joint_attention_kwargs=joint_attention_kwargs,
-                num_replicated_prefix=num_replicated_prefix,
-            )
-        for block in self.single_transformer_blocks:
-            encoder_hidden_states, hidden_states = block(
-                hidden_states=hidden_states,
-                encoder_hidden_states=encoder_hidden_states,
-                temb=temb,
-                freqs_cis=singles_freqs_cis,
-                joint_attention_kwargs=joint_attention_kwargs,
-                num_replicated_prefix=num_replicated_prefix,
-            )
+        forward_batch = get_forward_context().forward_batch
+        spectrum_enabled = forward_batch is not None and forward_batch.enable_spectrum
+        run_transformer_blocks = (
+            self.begin_spectrum_step() if spectrum_enabled else True
+        )
+        if run_transformer_blocks:
+            for block in self.transformer_blocks:
+                encoder_hidden_states, hidden_states = block(
+                    hidden_states=hidden_states,
+                    encoder_hidden_states=encoder_hidden_states,
+                    temb=temb,
+                    freqs_cis=freqs_cis,
+                    joint_attention_kwargs=joint_attention_kwargs,
+                    num_replicated_prefix=num_replicated_prefix,
+                )
+            for block in self.single_transformer_blocks:
+                encoder_hidden_states, hidden_states = block(
+                    hidden_states=hidden_states,
+                    encoder_hidden_states=encoder_hidden_states,
+                    temb=temb,
+                    freqs_cis=singles_freqs_cis,
+                    joint_attention_kwargs=joint_attention_kwargs,
+                    num_replicated_prefix=num_replicated_prefix,
+                )
+            if spectrum_enabled:
+                self.spectrum_record_features(hidden_states)
+        else:
+            if spectrum_enabled:
+                hidden_states = self.spectrum_predict_features(hidden_states)
 
         hidden_states = self.norm_out(hidden_states, temb)
 
diff --git a/python/sglang/multimodal_gen/runtime/models/dits/hunyuanvideo.py b/python/sglang/multimodal_gen/runtime/models/dits/hunyuanvideo.py
index 2f329c564..16fed4a6c 100644
--- a/python/sglang/multimodal_gen/runtime/models/dits/hunyuanvideo.py
+++ b/python/sglang/multimodal_gen/runtime/models/dits/hunyuanvideo.py
@@ -662,6 +662,7 @@ class HunyuanVideoTransformer3DModel(CachableDiT, LayerwiseOffloadableModuleMixi
         forward_context = get_forward_context()
         forward_batch = forward_context.forward_batch
         enable_teacache = forward_batch is not None and forward_batch.enable_teacache
+        enable_spectrum = forward_batch is not None and forward_batch.enable_spectrum
 
         if guidance is None:
             guidance = torch.tensor(
@@ -744,11 +745,10 @@ class HunyuanVideoTransformer3DModel(CachableDiT, LayerwiseOffloadableModuleMixi
 
         freqs_cis = (freqs_cos, freqs_sin) if freqs_cos is not None else None
 
-        should_skip_forward = self.should_skip_forward_for_cached_states(
-            img=img, vec=vec
-        )
-
-        if should_skip_forward:
+        run_transformer_blocks = self.begin_spectrum_step()
+        if enable_spectrum and not run_transformer_blocks:
+            img = self.spectrum_predict_features(img)
+        elif self.should_skip_forward_for_cached_states(img=img, vec=vec):
             img = self.retrieve_cached_states(img)
         else:
             if enable_teacache:
@@ -786,6 +786,8 @@ class HunyuanVideoTransformer3DModel(CachableDiT, LayerwiseOffloadableModuleMixi
 
             if enable_teacache:
                 self.maybe_cache_states(img, original_img)
+            if enable_spectrum:
+                self.spectrum_record_features(img)
 
         # Final layer processing
         img = self.final_layer(img, vec)
diff --git a/python/sglang/multimodal_gen/runtime/models/dits/stablediffusion3.py b/python/sglang/multimodal_gen/runtime/models/dits/stablediffusion3.py
index 419d41af8..82236c919 100644
--- a/python/sglang/multimodal_gen/runtime/models/dits/stablediffusion3.py
+++ b/python/sglang/multimodal_gen/runtime/models/dits/stablediffusion3.py
@@ -17,6 +17,7 @@ from diffusers.models.normalization import AdaLayerNormContinuous
 from sglang.multimodal_gen.configs.models.dits.stablediffusion3 import (
     StableDiffusion3TransformerConfig,
 )
+from sglang.multimodal_gen.runtime.managers.forward_context import get_forward_context
 from sglang.multimodal_gen.runtime.managers.memory_managers.layerwise_offload import (
     LayerwiseOffloadableModuleMixin,
 )
@@ -128,26 +129,37 @@ class SD3Transformer2DModel(CachableDiT, LayerwiseOffloadableModuleMixin):
         else:
             interval_control = 0
 
-        for index_block, block in enumerate(self.transformer_blocks):
-            if index_block not in skip_layer_set:
-                encoder_embeddings, hidden_states = block(
-                    hidden_states=hidden_states,
-                    encoder_hidden_states=encoder_embeddings,
-                    temb=temb,
-                    joint_attention_kwargs=joint_attention_kwargs,
-                )
+        forward_batch = get_forward_context().forward_batch
+        spectrum_enabled = forward_batch is not None and forward_batch.enable_spectrum
+        run_transformer_blocks = (
+            self.begin_spectrum_step() if spectrum_enabled else True
+        )
+        if run_transformer_blocks:
+            for index_block, block in enumerate(self.transformer_blocks):
+                if index_block not in skip_layer_set:
+                    encoder_embeddings, hidden_states = block(
+                        hidden_states=hidden_states,
+                        encoder_hidden_states=encoder_embeddings,
+                        temb=temb,
+                        joint_attention_kwargs=joint_attention_kwargs,
+                    )
 
-            # controlnet residual
-            if (
-                block_controlnet_hidden_states is not None
-                and block.context_pre_only is False
-            ):
-                hidden_states = (
-                    hidden_states
-                    + block_controlnet_hidden_states[
-                        int(index_block / interval_control)
-                    ]
-                )
+                # controlnet residual
+                if (
+                    block_controlnet_hidden_states is not None
+                    and block.context_pre_only is False
+                ):
+                    hidden_states = (
+                        hidden_states
+                        + block_controlnet_hidden_states[
+                            int(index_block / interval_control)
+                        ]
+                    )
+            if spectrum_enabled:
+                self.spectrum_record_features(hidden_states)
+        else:
+            if spectrum_enabled:
+                hidden_states = self.spectrum_predict_features(hidden_states)
 
         hidden_states = self.norm_out(hidden_states, temb)
         hidden_states = self.proj_out(hidden_states)
diff --git a/python/sglang/multimodal_gen/runtime/models/dits/wanvideo.py b/python/sglang/multimodal_gen/runtime/models/dits/wanvideo.py
index 907871973..a00431e06 100755
--- a/python/sglang/multimodal_gen/runtime/models/dits/wanvideo.py
+++ b/python/sglang/multimodal_gen/runtime/models/dits/wanvideo.py
@@ -1010,6 +1010,7 @@ class WanTransformer3DModel(CachableDiT, LayerwiseOffloadableModuleMixin):
         self.enable_teacache = (
             forward_batch is not None and forward_batch.enable_teacache
         )
+        enable_spectrum = forward_batch is not None and forward_batch.enable_spectrum
 
         orig_dtype = hidden_states.dtype
         if not isinstance(encoder_hidden_states, torch.Tensor):
@@ -1143,12 +1144,14 @@ class WanTransformer3DModel(CachableDiT, LayerwiseOffloadableModuleMixin):
         assert encoder_hidden_states.dtype == orig_dtype
 
         # 4. Transformer blocks
-        # if caching is enabled, we might be able to skip the forward pass
+        run_transformer_blocks = self.begin_spectrum_step()
         should_skip_forward = self.should_skip_forward_for_cached_states(
             timestep_proj=timestep_proj, temb=temb
         )
 
-        if should_skip_forward:
+        if enable_spectrum and not run_transformer_blocks:
+            hidden_states = self.spectrum_predict_features(hidden_states)
+        elif should_skip_forward:
             hidden_states = self.retrieve_cached_states(hidden_states)
         else:
             # if teacache is enabled, we need to cache the original hidden states
@@ -1162,6 +1165,8 @@ class WanTransformer3DModel(CachableDiT, LayerwiseOffloadableModuleMixin):
             # if teacache is enabled, we need to cache the original hidden states
             if self.enable_teacache:
                 self.maybe_cache_states(hidden_states, original_hidden_states)
+            if enable_spectrum:
+                self.spectrum_record_features(hidden_states)
         self.cnt += 1
 
         if sequence_shard_enabled:
diff --git a/python/sglang/multimodal_gen/test/unit/test_sampling_params.py b/python/sglang/multimodal_gen/test/unit/test_sampling_params.py
index cfdf58f2a..fe1dad199 100644
--- a/python/sglang/multimodal_gen/test/unit/test_sampling_params.py
+++ b/python/sglang/multimodal_gen/test/unit/test_sampling_params.py
@@ -92,6 +92,12 @@ class TestSamplingParamsValidate(unittest.TestCase):
         with self.assertRaisesRegex(ValueError, r"boundary_ratio"):
             SamplingParams(boundary_ratio=math.nan)
 
+    def test_teacache_and_spectrum_are_mutually_exclusive(self):
+        with self.assertRaisesRegex(
+            ValueError, r"enable_teacache and enable_spectrum are mutually exclusive"
+        ):
+            SamplingParams(enable_teacache=True, enable_spectrum=True)
+
 
 class TestSamplingParamsSubclass(unittest.TestCase):
     def test_flux_defaults_resolution_when_not_provided(self):
@@ -243,6 +249,38 @@ class TestSamplingParamsCliArgs(unittest.TestCase):
             self._parse_cli_kwargs(["--quality", "high"])["quality"], "high"
         )
 
+    def test_get_cli_args_maps_spectrum_prefixed_flags(self):
+        kwargs = self._parse_cli_kwargs(
+            [
+                "--enable-spectrum",
+                "--spectrum-window-size",
+                "2.5",
+                "--spectrum-flex-window",
+                "0.9",
+                "--spectrum-warmup-steps",
+                "6",
+                "--spectrum-m",
+                "3",
+                "--spectrum-lam",
+                "0.2",
+                "--spectrum-tau-num-steps",
+                "42",
+            ]
+        )
+
+        self.assertTrue(kwargs["enable_spectrum"])
+        self.assertEqual(
+            kwargs["spectrum_params"],
+            {
+                "window_size": 2.5,
+                "flex_window": 0.9,
+                "warmup_steps": 6,
+                "m": 3,
+                "lam": 0.2,
+                "tau_num_steps": 42,
+            },
+        )
+
     def test_qwen_image_cli_path_preserves_model_defaults(self):
         params = self._make_qwen_image_params([])
 
diff --git a/python/sglang/multimodal_gen/test/unit/test_spectrum.py b/python/sglang/multimodal_gen/test/unit/test_spectrum.py
new file mode 100644
index 000000000..e7b1591dc
--- /dev/null
+++ b/python/sglang/multimodal_gen/test/unit/test_spectrum.py
@@ -0,0 +1,92 @@
+# SPDX-License-Identifier: Apache-2.0
+import unittest
+
+import torch
+
+from sglang.multimodal_gen.runtime.cache.spectrum import (
+    ChebyshevForecaster,
+    SpectrumForecaster,
+)
+
+
+class TestSpectrumForecaster(unittest.TestCase):
+    def test_chebyshev_fit_and_predict(self) -> None:
+        """Predict returns the expected feature shape after fitting on prior steps."""
+        forecaster = ChebyshevForecaster(
+            M=2, K=10, lam=0.1, num_steps=10, feature_shape=(4, 8)
+        )
+        for step in range(6):
+            forecaster.update(float(step), torch.randn(4, 8))
+        predicted = forecaster.predict(6.0)
+        self.assertEqual(predicted.shape, (4, 8))
+
+    def test_chebyshev_fit_and_predict_bfloat16(self) -> None:
+        """bfloat16 inputs produce bfloat16 predictions."""
+        forecaster = ChebyshevForecaster(
+            M=2, K=10, lam=0.1, num_steps=10, feature_shape=(4, 8)
+        )
+        for step in range(6):
+            forecaster.update(float(step), torch.randn(4, 8, dtype=torch.bfloat16))
+        predicted = forecaster.predict(6.0)
+        self.assertEqual(predicted.shape, (4, 8))
+        self.assertEqual(predicted.dtype, torch.bfloat16)
+
+    @unittest.skipUnless(torch.cuda.is_available(), "requires CUDA autocast")
+    def test_chebyshev_fit_and_predict_bfloat16_under_autocast(self) -> None:
+        """CUDA bf16 autocast keeps prediction working and preserves bf16 output."""
+        forecaster = ChebyshevForecaster(
+            M=2, K=10, lam=0.1, num_steps=10, feature_shape=(4, 8)
+        ).cuda()
+        with torch.autocast(device_type="cuda", dtype=torch.bfloat16):
+            for step in range(6):
+                forecaster.update(
+                    float(step), torch.randn(4, 8, device="cuda", dtype=torch.bfloat16)
+                )
+            predicted = forecaster.predict(6.0)
+        self.assertEqual(predicted.shape, (4, 8))
+        self.assertEqual(predicted.dtype, torch.bfloat16)
+
+    def test_spectrum_blend_predict(self) -> None:
+        """The blended Spectrum forecaster returns the expected output shape."""
+        cheb = ChebyshevForecaster(
+            M=2, K=10, lam=0.1, num_steps=10, feature_shape=(2, 3)
+        )
+        blend = SpectrumForecaster(cheb, taylor_order=1, w=0.5)
+        for step in range(4):
+            blend.update(float(step), torch.ones(2, 3) * step)
+        out = blend.predict(4.0)
+        self.assertEqual(out.shape, (2, 3))
+
+    def test_chebyshev_prediction_error_is_bounded_on_smooth_signal(self) -> None:
+        """Prediction error stays very low on a deterministic smooth signal."""
+
+        def smooth_feature(step: float) -> torch.Tensor:
+            # Linear trend should be modeled accurately by M=1 Chebyshev basis.
+            base = 0.5 + 0.125 * step
+            return torch.tensor(
+                [[base, base + 0.1], [0.75 * base, -0.5 * base]],
+                dtype=torch.float32,
+            )
+
+        forecaster = ChebyshevForecaster(
+            M=1, K=16, lam=1e-6, num_steps=50, feature_shape=(2, 2)
+        )
+        for step in range(8):
+            forecaster.update(float(step), smooth_feature(float(step)))
+
+        target = smooth_feature(8.0)
+        predicted = forecaster.predict(8.0)
+        rel_l2 = torch.norm(predicted - target) / torch.norm(target)
+        self.assertLess(rel_l2.item(), 1e-3)
+
+    def test_chebyshev_tau_horizon_matches_reference(self) -> None:
+        """Tau normalization matches the fixed 50-step horizon used by the reference."""
+        f50 = ChebyshevForecaster(M=0, num_steps=50, feature_shape=(1,))
+        f20 = ChebyshevForecaster(M=0, num_steps=20, feature_shape=(1,))
+        t = torch.tensor([10.0])
+        self.assertAlmostEqual(f50._taus(t).item(), -0.6, places=5)
+        self.assertAlmostEqual(f20._taus(t).item(), 0.0, places=5)
+
+
+if __name__ == "__main__":
+    unittest.main()