IIR Butterworth Low-Pass Filter Design

In this course project, we will explore the design of IIR Butterworth low-pass filters, a fundamental topic with significant value for digital signal processing students. Through this course, we will master the basic principles and techniques of low-pass filter design, including the selection of appropriate filter parameters such as cutoff frequency and filter order using the buttord function. We will learn optimization methods to achieve desired filter characteristics through practical implementations of the butter function for generating filter coefficients. The project will delve into the performance analysis of IIR Butterworth filters, examining frequency response characteristics using freqz and their applications in real-time signal processing scenarios. Additionally, we will implement filter operations using difference equations or the filter function to process discrete-time signals. This course project will enhance our digital signal processing skills and establish a solid foundation for future research and professional work in filter design and implementation.