An interactive visualization tool for exploring Time-Frequency analysis, Spectrograms, and various types of signal transforms.
This application visualizes how the frequency content of a signal evolves over time, utilizing the Short-Time Fourier Transform (STFT) and other advanced time-frequency distributions. Unlike the standard Fourier Transform which provides global frequency information, these methods reveal local frequency dynamics, making them essential for analyzing non-stationary signals.
- Signal Construction: Craft complex signals by mixing multiple wave components (Sine, Square, Triangle, Sawtooth).
- Envelopes: Shape the amplitude of each component over time using Gaussian, ADSR, or Square envelopes.
- Interactive Spectrogram: A real-time heatmap visualization (Time vs. Frequency vs. Magnitude) with zoom and pan capabilities.
- Advanced Transforms:
- Gabor (Standard STFT): Uses a fixed Gaussian window.
- Double Gabor: Multiplies two Gabor transforms with different window widths to sharpen joint localization.
- Wavelet (Approximated): Simulate multi-resolution analysis using wide windows for low frequencies and narrow windows for high frequencies.
- Wigner-Ville: High-resolution distribution (Pseudo Wigner-Ville) that minimizes blurring but may introduce interference terms.
- Chirplet: Extends Gabor with a "chirp" parameter to rotate the time-frequency tiling, ideal for sweeping signals.
- Window Functions: Switch between Gaussian (smooth, low leakage) and Square (sharp time, high leakage) windows.
- Audio Playback: Listen to your generated signal with adjustable frequency modulation.
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