DTFT Properties and Frequency Response Analysis

This lecture covers the properties of the Discrete-Time Fourier Transform (DTFT), including stability, inversion, convolution, and multiplication. It also delves into the frequency response analysis of systems and filters, discussing spectral characteristics, lower and upper bounds, and the effects of filtering. The instructor emphasizes the importance of symmetries in signal processing and provides insights into the ideal low-pass filter. The lecture concludes with the application of the Parseval theorem and the concept of l2-stability in signal processing.