STFT & Spectrogram
This interactive simulator explores STFT & Spectrogram in Визуализация математики. Slide a windowed FFT across the signal: chirps, two-tones, bursts. Tune window M, hop, type — see the time–frequency trade-off live. Use the controls to change the scenario; watch the visualization and any graphs or readouts to connect the model with lectures, labs, and homework.
Для кого: Best once you already know the basic definitions and want to build intuition. Typical context: Визуализация математики.
Ключевые понятия
- stft
- spectrogram
- stft spectrogram
- math
Как это работает
**Short-Time Fourier Transform**: slide a window **w[n]** of length **M** across the signal in steps of **hop**, FFT each frame, plot **|X(t,f)|** in dB as a heatmap. There is a hard **time–frequency trade-off**: large **M** sharpens **Δf = f_s/M** but blurs **Δt ≈ M/f_s**; small **M** does the opposite. Try the **up-chirp** with M = 32 vs M = 1024, or compare windows on the **two-tone** preset to see leakage on a rectangular window vs Hann/Blackman side-lobes.
Основные формулы
Ещё из «Визуализация математики»
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