Signal Filtering Processing and Frequency Analysis

Generate a continuous signal containing low, medium, and high frequency components, perform sampling and frequency spectrum analysis. Design three types of filters (high-pass, low-pass, and band-pass) to process the signal, and observe the frequency spectrum of the filtered signals. Implementation typically involves using signal processing libraries (such as scipy.signal or MATLAB's Signal Processing Toolbox) to create Butterworth or FIR filters with specified cutoff frequencies. Additionally, compare the filtered signals with the original signal to analyze the impact of filters on signal characteristics. By adjusting filter parameters such as cutoff frequency and bandwidth, observe changes in filtering effects. This experiment helps better understand filtering principles in signal processing and the characteristics of different filters, providing practical experience with window functions, filter order selection, and frequency response analysis.