Lecture
This lecture explores the geometric interpretation of filter responses based on the placement of poles and zeros in the unit circle. It delves into examples of single-pole and simple filters, discussing magnitude and phase responses. The instructor discusses the classification of ideal filters, emphasizing the characteristics of low-pass, high-pass, bandpass, and bandstop filters. The lecture also covers the challenges of achieving causal filters in real-time signal processing, highlighting the interdependence between the real and imaginary parts of the frequency response. Practical constraints and methods for approximating ideal responses are addressed, focusing on the relationship between amplitude and phase responses.