STFT.jl - Short-Time Fourier Transform

STFT.jl is a small Julia package implementing just Short-Time Fourier Transform (STFT) routines. It provides the following core functionality:

• signal analysis; transform time-domain signal to STFT-domain signal.
• signal synthesis; transform STFT-domain signal to time-domain signal.

Check the documentation for more insights.

Installation

The package is currently not available in General, the default Julia package registry.

To install it, use the following command in Julia package manager:

pkg> add https://github.com/s-zymon/STFT.jl

Examples

Below you can find a few standalone example with basic usage of the package.

Show spectrogram

using STFT
using Plots

x = randn(10000)  # Generate mock signal
W = 64            # Window length
w = ones(W)       # Rectangular analysis window
H = 10            # Hop
L = W - H         # Overlap

X = stft(x, w, L)    # Analysis
s = abs2.(X)         # Compute spectrogram
heatmap(10log10.(s)) # Display spectrogram

Analyse signal, modify, and synthesise

using STFT

x = randn(10000)   # Generate mock signal
W = 64             # Window length
w = ones(W)        # Rectangular analysis window
H = 10             # Hop
L = W - H          # Overlap

X = stft(x, w, L)  # Analysis
X = f(X)           # Modify STFT-domain signal
y = istft(X, w, L) # Synthesis

Alternatively, instead of using STFT, you can import STFT, and use an alternative API, i.e., analysis and synthesis.

import STFT

x = randm(10000) # Generate mock signal
W = 64           # Window length
w = ones(W)      # Rectangular analysis window
H = 10           # Hop
L = W - H        # Overlap

X = STFT.analysis(x, w, L)  # Analysis
X = f(X)                    # Modify STFT-domain signal
y = STFT.synthesis(X, w, L) # Synthesis