Discrete Signals & Fourier Transform

This lecture covers the concept of discrete signals and the Fourier transform, including topics such as discreet ideal low-pass filters, DTFT, signal modulation, convolution, DFT properties, and the link between DFT and continuous-time Fourier transform. The instructor explains the matrix representation of signals, the n-periodicity of signals, and the Dirichlet core function. Additionally, the lecture delves into DTFT resampling, causal averaging windows, and the importance of calculating DTFT for non-periodic discrete signals. Through examples and explanations, students will gain a comprehensive understanding of signal processing and Fourier analysis.