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Introduction to DSP - time domain processing: convolution II

Convolution is a weighted moving average with one signal flipped back to front.

Convolving a signal with a smooth weighting function can be used to smooth a signal:

Using convolution to smooth a noisy signal

The diagram shows how a noisy sine wave can be smoothed by convolving with a rectangular smoothing function - this is just a moving average.

The smoothing property leads to the use of convolution for digital filtering.

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