Digital Filters: Frequency Response Approximation

This lecture covers the synthesis of digital filters from analog filters, focusing on frequency response approximation methods. It discusses the importance of approaching the frequency response rather than the impulse response, comparing different formulas and methods. The lecture also explores the bilinear transformation technique for recycling various classes of filters and the synthesis of FIR filters by truncating the filter. Additionally, it delves into the placement of poles and zeros to specify bandwidth and attenuated bands, as well as the characteristics of causal-stable filters with poles inside the unit circle. The instructor emphasizes the significance of minimizing errors and distortion in the filter design process.