Developed and implemented a method for reconstructing pulse radar signals using low-pass filtering, recovering the original rectangular pulse signal through sampling. Utilized FFT for spectral analysis of the pulse signal and designed a sampling rate to simulate realistic sampling constraints. Employed a Butterworth low-pass filter with a specified cutoff frequency and order to ensure signal fundamental frequency passage and suppress high-frequency noise and aliasing. Conducted a comprehensive simulation experiment using MATLAB to generate, sample, filter, and reconstruct signals, analyzing the filter's frequency response and verifying the accuracy of signal reconstruction and filtering.

Designed and implemented an embedded DSP system for medical image enhancement and communication noise reduction. Developed an IIR band-stop filter using MATLAB to remove power line interference (60Hz and its harmonics) from myoelectric signals (iEMG). Applied Fourier Transform (FFT) for signal spectrum analysis and designed a Butterworth band-stop filter, analyzing its frequency response and pole-zero plot. Derived the Z-transform of the filter, analyzed its pole-zero plot, and investigated its stability and selectivity. Compared the time-domain and frequency-domain performance of the signal before and after filtering, assessing the filter's noise reduction capability and impact on signal integrity.