# Lecture 16 Blog, ECE438 Fall 2010, Prof. Boutin

Wednesday September 30, 2010.

In Lecture #16, we obtained a "practical" formula for reconstructing the DTFT of a finite duration signal from the DFT of its periodic repetition. The formula was observed to hold whenever the periodic repetition has a period that is at least as long as the signal duration. We finished the lecture by introducing a matrix equation to represent the transformation from a finite duration signal to the DFT.

We also emphasized the need to be able to compute Fourier series, as computing DFTs is essentially the same as computing Fourier series coefficients.