How is overlap-add implemented?

Question

Accepted Answer

Overlap-add is implemented by dividing the input signal into overlapping segments, applying a window function, and adding the segments together.

Overlap-add is a method used in digital signal processing to efficiently convolve long signals with finite impulse response (FIR) filters.
The input signal is divided into overlapping segments, typically with a length equal to the filter length.
A window function, such as the Hamming window, is applied to each segment to reduce spectral leakage.
The windowed segments are then convolved with the filter impulse response using fast Fourier transform (FFT).
The resulting convolutions are added together, taking into account the overlap between segments.
This process allows for efficient and accurate filtering of long signals.
Overlap-add is commonly used in applications such as audio processing and image filtering.

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