"Matlab下的FIR数字滤波器设计及效果分析"

Digital filtering technology is widely used in various industries and applications, and has been continuously evolving and improving over time. In this paper, the application status and development trend of digital filtering technology both at home and abroad are analyzed. The basic structures of IIR and FIR digital filters are introduced, and the design methods for both types of filters are discussed in detail. The advantages and disadvantages of IIR and FIR filters are compared, with a focus on the three design methods for FIR filters based on Matlab. Three design methods for FIR filters, namely the windowing method, frequency sampling method, and optimal equiripple linear phase method, are explained and demonstrated through Matlab programming. The corresponding magnitude-frequency response curves are plotted for each design method to showcase the filter characteristics. The effectiveness of the three FIR filter designs is verified by applying them to filter noise signals and analyzing the changes in the signal spectra before and after filtering. Overall, this paper provides a comprehensive overview of digital filtering technology, specifically focusing on FIR filters and their design methods using Matlab. Through practical examples and analysis, the effectiveness of different FIR filter design approaches is demonstrated, providing valuable insights for researchers and practitioners in the field of digital signal processing. Keywords: digital filter, windowing method, frequency sampling method, optimal design method, magnitude-frequency response curve, verification.