High-performance STFT/iSTFT for Apple MLX with fused Metal kernels
Project description
mlx-spectro
High-performance STFT/iSTFT for Apple MLX — 2–3x faster STFT and 5–8x faster iSTFT than torch.stft/torch.istft on MPS, via fused Metal kernels.
from mlx_spectro import SpectralTransform
transform = SpectralTransform(n_fft=2048, hop_length=512, window_fn="hann")
spec = transform.stft(audio) # [B, T] → complex spectrogram
reconstructed = transform.istft(spec, length=T) # complex spectrogram → [B, T]
from mlx_spectro import MelSpectrogramTransform
mel = MelSpectrogramTransform(
sample_rate=24000,
n_fft=2048,
hop_length=240,
n_mels=128,
top_db=80.0,
mode="torchaudio_compat",
)
mel_db = mel(audio) # [B, n_mels, frames]
mlx-audio-separator uses mlx-spectro for MLX-native stem separation (Roformer, MDX, Demucs) and runs 1.8–3.1x faster end-to-end than python-audio-separator on torch+MPS. See benchmarks below.
Install
pip install mlx-spectro
With optional torch fallback support:
pip install mlx-spectro[torch]
Features
- Fused overlap-add with autotuned Metal kernels
- PyTorch-compatible STFT/iSTFT semantics
- Cached transforms for zero-overhead repeated calls
- Differentiable transforms for training with
mx.grad mx.compile-friendly for tight inference loops- Optional torch fallback for strict numerical parity
Quick Start
import mlx.core as mx
from mlx_spectro import SpectralTransform
transform = SpectralTransform(
n_fft=2048,
hop_length=512,
window_fn="hann",
)
audio = mx.random.normal((1, 44100))
spec = transform.stft(audio, output_layout="bnf")
reconstructed = transform.istft(spec, length=44100, input_layout="bnf")
API
SpectralTransform
Main class for STFT/iSTFT operations.
SpectralTransform(
n_fft: int,
hop_length: int,
win_length: int | None = None,
window_fn: str = "hann", # "hann", "hamming", "rect"
window: mx.array | None = None, # custom window array
periodic: bool = True,
center: bool = True,
center_pad_mode: str = "reflect", # "reflect" or "constant"
center_tail_pad: str = "symmetric", # "symmetric" or "minimal"
normalized: bool = False,
istft_backend_policy: str | None = None, # "auto", "mlx_fft", "metal", "torch_fallback"
)
Methods:
stft(x, output_layout="bfn")— Forward STFT. Input:[T]or[B, T].istft(z, length=None, ...)— Inverse STFT. Returns[B, T].compiled_pair(length, layout="bnf", warmup_batch=None)— Return compiled(stft_fn, istft_fn)for steady-state loops (10–20% faster).warmup(batch=1, length=4096)— Force kernel compilation.
Centering and padding semantics:
center=True, center_pad_mode="reflect", center_tail_pad="symmetric": default PyTorch-style centered STFT with reflect padding on both sides. This keeps the current fused Metal fast path.center=True, center_pad_mode="constant", center_tail_pad="symmetric": centered STFT with zero padding on both sides, matching the common Torch/librosa constant-pad interpretation.center=True, center_pad_mode="constant", center_tail_pad="minimal": centered STFT with zero left padding and only the minimal right padding needed to keep frame count atceil(len / hop_length). This is useful for madmom-style frontends that should not emit an extra tail frame.
center_pad_mode="reflect" currently requires center_tail_pad="symmetric". When using center_tail_pad="minimal", istft(..., length=...) must be given an explicit length.
Padding Examples
Torch-style centered zero padding:
from mlx_spectro import SpectralTransform
transform = SpectralTransform(
n_fft=2048,
hop_length=512,
window_fn="hann",
center=True,
center_pad_mode="constant",
center_tail_pad="symmetric",
)
madmom-style centered framing without an extra tail frame:
import mlx.core as mx
import numpy as np
from mlx_spectro import SpectralTransform
window = mx.array(np.hanning(8192).astype(np.float32))
transform = SpectralTransform(
n_fft=8192,
hop_length=4410,
win_length=8192,
window=window,
periodic=False,
center=True,
center_pad_mode="constant",
center_tail_pad="minimal",
)
MelSpectrogramTransform
Mel frontend powered by SpectralTransform.
MelSpectrogramTransform(
sample_rate: int = 24000,
n_fft: int = 2048,
hop_length: int = 240,
win_length: int | None = None,
n_mels: int = 128,
f_min: float = 0.0,
f_max: float | None = None,
power: float = 2.0,
norm: str | None = None, # None or "slaney"
mel_scale: str = "htk", # "htk" or "slaney"
top_db: float | None = 80.0,
mode: str = "mlx_native", # "mlx_native" or "torchaudio_compat"; "default" alias -> "mlx_native"
center_pad_mode: str = "reflect",
center_tail_pad: str = "symmetric",
)
Methods:
spectrogram(x)— Returns power spectrogram[B, F, N].mel_spectrogram(x, to_db=True)/__call__(x, to_db=True)— Returns[B, n_mels, N].
Mode semantics:
mode="mlx_native": per-exampletop_dbclipping (batch-independent behavior).mode="torchaudio_compat": torchaudio-compatible packed-batch clipping semantics for parity-sensitive pipelines.
onset_strength(x, *, sample_rate=22050, n_fft=2048, hop_length=512, n_mels=128, ..., center_pad_mode="reflect", center_tail_pad="symmetric")
Half-wave rectified spectral flux of a dB-scaled mel spectrogram, matching librosa onset.onset_strength conventions. Returns [frames] for 1-D input or [B, frames] for batched input.
onset_strength_multi(x, *, sample_rate=22050, n_fft=2048, hop_length=512, n_mels=128, ..., center_pad_mode="reflect", center_tail_pad="symmetric")
Per-band half-wave rectified spectral flux (before averaging across frequency). Returns [n_mels, frames] for 1-D input or [B, n_mels, frames] for batched input.
get_transform_mlx(**kwargs)
Factory that returns cached SpectralTransform instances for repeated use.
make_window(window, window_fn, win_length, n_fft, periodic)
Create or validate a 1D analysis window.
resolve_fft_params(n_fft, hop_length, win_length, pad)
Resolve effective FFT parameters with PyTorch-compatible defaults.
Benchmarks
Apple M4 Max, macOS 26.3, MLX 0.30.6, PyTorch 2.10.0, 20 iterations (5 warmup).
STFT Forward
| Config | mlx-spectro | torch MPS | mlx-stft | vs torch | vs mlx-stft |
|---|---|---|---|---|---|
| B=1 T=16k nfft=512 | 0.16 ms | 0.21 ms | 0.31 ms | 1.4x | 1.9x |
| B=4 T=160k nfft=1024 | 0.37 ms | 1.00 ms | 1.09 ms | 2.7x | 3.0x |
| B=8 T=160k nfft=1024 | 0.28 ms | 0.71 ms | 1.53 ms | 2.5x | 5.6x |
| B=4 T=1.3M nfft=1024 | 0.77 ms | 2.18 ms | 5.03 ms | 2.8x | 6.5x |
| B=8 T=480k nfft=1024 | 0.58 ms | 1.30 ms | 3.73 ms | 2.2x | 6.4x |
iSTFT Forward
| Config | mlx-spectro | torch MPS | mlx-stft | vs torch | vs mlx-stft |
|---|---|---|---|---|---|
| B=1 T=16k nfft=512 | 0.17 ms | 0.49 ms | 0.25 ms | 3.0x | 1.5x |
| B=4 T=160k nfft=1024 | 0.21 ms | 1.00 ms | 0.98 ms | 4.7x | 4.7x |
| B=8 T=160k nfft=1024 | 0.30 ms | 1.61 ms | 1.62 ms | 5.4x | 5.4x |
| B=4 T=1.3M nfft=1024 | 0.81 ms | 5.76 ms | 6.68 ms | 7.1x | 8.2x |
| B=8 T=480k nfft=1024 | 0.60 ms | 4.10 ms | 4.55 ms | 6.8x | 7.6x |
Roundtrip (STFT → iSTFT) Forward + Backward
| Config | mlx-spectro | torch MPS | vs torch |
|---|---|---|---|
| B=4 T=160k nfft=1024 | 0.62 ms | 2.25 ms | 3.6x |
| B=8 T=160k nfft=1024 | 1.04 ms | 4.38 ms | 4.2x |
| B=4 T=480k nfft=1024 | 1.59 ms | 6.59 ms | 4.1x |
| B=4 T=1.3M nfft=1024 | 4.33 ms | 17.63 ms | 4.1x |
| B=1 T=1.3M nfft=1024 | 1.21 ms | 4.20 ms | 3.5x |
Roundtrip Accuracy (STFT → iSTFT max abs error)
| Config | mlx-spectro | torch MPS |
|---|---|---|
| B=1 T=16k nfft=512 | 1.67e-06 | 2.38e-06 |
| B=4 T=160k nfft=2048 | 2.86e-06 | 5.25e-06 |
| B=8 T=480k nfft=1024 | 3.81e-06 | 4.77e-06 |
To reproduce:
- Full suite:
python scripts/benchmark.py - Dispatch overhead profile:
python scripts/benchmark.py --dispatch-profile
Real-world: mlx-audio-separator
mlx-audio-separator is an MLX-native music stem separation library supporting Roformer, MDX, Demucs, and more. End-to-end separation speedup vs python-audio-separator (torch on MPS), measured on 30s stereo 44.1 kHz tracks. Apple M4 Max, PyTorch 2.10.0, MLX 0.30.6, ABBA ordering, 2 repeats.
| Model | Arch | torch+MPS (s) | MLX (s) | E2E speedup |
|---|---|---|---|---|
| UVR-MDX-NET-Inst_HQ_3 | MDX | 4.25 | 1.36 | 3.1x |
| htdemucs | Demucs | 3.35 | 1.29 | 2.6x |
| Mel-Roformer Karaoke | MDXC | 5.60 | 2.66 | 2.1x |
| BS-Roformer | MDXC | 6.48 | 3.56 | 1.8x |
STFT/iSTFT kernel speedups within these pipelines are even larger (2–3x STFT, 5–8x iSTFT vs torch).
Compiled Mode
For tight inference loops with fixed input shapes, compiled_pair eliminates
per-call Python dispatch overhead (10–20% faster for small workloads):
t = SpectralTransform(n_fft=1024, hop_length=256, window_fn="hann")
stft, istft = t.compiled_pair(length=44100, warmup_batch=2)
for chunk in audio_stream:
z = stft(chunk)
z = process(z)
y = istft(z)
mx.eval(y)
Use the eager t.stft() / t.istft() methods when input shapes vary.
Environment Variables
| Variable | Default | Description |
|---|---|---|
SPEC_MLX_AUTOTUNE |
1 |
Enable Metal kernel autotuning |
SPEC_MLX_TGX |
— | Force threadgroup size (e.g. 256 or kernel:256) |
SPEC_MLX_AUTOTUNE_PERSIST |
1 |
Persist autotune results to disk |
SPEC_MLX_AUTOTUNE_CACHE_PATH |
— | Override autotune cache file path |
MLX_OLA_FUSE_NORM |
1 |
Enable fused OLA+normalization kernel |
SPEC_MLX_CACHE_STATS |
0 |
Enable cache debug counters |
License
MIT
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