Signals and Systems I: Response Analysis

This lecture covers the analysis of response amplitude and phase in signals and systems, focusing on rational transfer functions, poles, and zeros. It also discusses the contribution of real poles, pairs of conjugate poles and zeros, and the placement effects of poles and zeros. Additionally, it explores the characteristics of all-pass filters, low-pass filters, notch filters, and Butterworth filters, emphasizing phase shifts, resonance, and attenuation. The lecture concludes with the asymptotic behavior of filters and the properties of maximally flat magnitude filters.