Filters Fundamentals: Chebyshev Polynomials and Filter Design

This lecture covers the fundamentals of filters, focusing on Chebyshev polynomials in expanded and factored forms for Chebyshev filters of odd order. It explains the direct relation between element values of all-pole filters and filter parameters. The lecture also delves into the design of all-pole low-pass Butterworth filters, all-pole low-pass Chebyshev filters, and examples of Chebyshev filters. Additionally, it introduces RLC filter design tools and discusses the implementation of first-order active-RC and OTA-C filters, as well as second-order filters. The lecture concludes with insights into high-order filter implementation approaches and simulation results.