Analog Filters: General Synthesis and Transfer Functions

This lecture covers the placement of poles and zeros, synthesis of particular filters, and rational transfer functions in the context of analog filters. It discusses step response, frequency response, impulse response, and transfer functions, emphasizing the equivalence to Fourier analysis. The lecture also explores the classification of analog filters, including ideal filters, phase filters, and function filters. Additionally, it delves into frequency specifications, amplitude in decibel, and the logarithmic frequency scale. The concept of poles and zeros in rational transfer functions is explained, along with the physical constraints and filter equations in the Fourier domain. The lecture concludes with the determination of impulse response and stability analysis of causal systems.