How are Correlation and Convolution Related in Digital Communications?

Описание к видео How are Correlation and Convolution Related in Digital Communications?

Explains the correlator receiver and the matched filter receiver from a signals perspective, and shows the link to correlation and convolution.

Note that while I didn't mention it explicitly in the video, we are considering only the part of the received signal that arrives between time t=0 and t=T. In other words, we are looking at demodulating and detecting a single digital symbol (the one that was sent on a signal/modulation waveform between time t=0 and t=T), and hence we are only integrating over that time interval. The same analysis will hold for all other digital symbols in a digital communications data sequence (sent at other times), but with the range of the integral shifted in time to correspond to the time over which each of those other symbols is sent.

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