Discrete Short-Time Fourier Transform Function for 1D Vectors

Resource Overview

Discrete Short-Time Fourier Transform function for 1D vectors. Function name: stft, Input: one-dimensional array to be processed, Windowing: rectangular window, Window width: 20 samples. Implementation handles signal segmentation with overlapping windows and computes frequency-domain representation.

Detailed Documentation

This function computes the discrete short-time Fourier transform for one-dimensional vectors. Named "stft", it accepts a one-dimensional array as input and applies rectangular windowing with a fixed window width of 20 samples. The function segments the input signal using a sliding window approach, applies the Fourier transform to each windowed segment, and returns the resulting time-frequency representation. The implementation maintains temporal localization by processing the signal in short, overlapping segments while preserving the original signal characteristics through rectangular windowing that maintains amplitude integrity without spectral leakage.