优化设计算法在基于matlab的数字滤波器设计中的应用-学位论文研究

f science and technology, filters are widely used to process signals. Digital filters can be divided into two categories, namely Finite Impulse Response (FIR) filters and Infinite Impulse Response (IIR) filters. This paper analyzes and studies the design and implementation of these two types of digital filters. In the design process of FIR filters, two main issues are discussed. The first is the characteristics of FIR linear phase filters and the derivation of relevant formulas. The second is the design of FIR filters using window functions, focusing on the optimization design of FIR digital filters based on the Chebyshev approximation criterion and implemented through MATLAB simulations. In the design process of IIR filters, the design steps are divided into three parts: analog filter prototype design, analog-to-digital filter transformation, and filter band transformation. The paper focuses on frequency domain direct design methods and optimization design methods. Throughout the design process of these two types of filters, theoretical analysis, programming design, and specific implementation steps are followed. Keywords: digital filters; MATLAB; optimization design algorithm; impulse response.