Design of IIR Digital Filters

This course focuses on fundamental types, characteristics, and design specifications of analog filters, along with practical MATLAB implementation techniques. We will explore analog prototype low-pass filter design methodologies and gain hands-on experience using MATLAB functions like butterord and cheb1ord for filter order determination, followed by filter coefficient generation using respective design functions. The curriculum covers analog domain frequency transformation methods, demonstrating how to utilize MATLAB's frequency transformation functions (lp2hp, lp2bp, lp2bs) with proper cutoff frequency parameters to convert prototype filters into high-pass, band-pass, and band-stop configurations. For digital filter design, we examine both impulse invariance and bilinear transformation methods, implementing them through MATLAB's impinvar and bilinear functions with appropriate sampling frequency and prewarping considerations. Through practical exercises involving filter coefficient calculation, frequency response analysis using freqz, and stability verification, you will develop comprehensive understanding of analog and digital filter design principles, application scenarios, and MATLAB programming techniques, establishing a solid foundation for future research and engineering applications.