| 摘要: |
| 为了通过控制滤波器频率响应逼近精度，尽可能降低实现结构的复杂度，获得滤波器系数的全局最优解，提出了一种基于二阶锥规划的对称Farrow结构分数时延滤波器设计方法。这种方法根据FIR滤波器的线性相位特性，构建加权最小二乘拟合目标函数和频率响应误差约束条件，并将约束转化为线性不等式约束，可将对称Farrow结构分数时延滤波器设计转化为一个凸优化求解问题。该问题可利用二阶锥规划方法进行求解，获得满足幅频和相频误差约束的全局最优滤波器系数。通过在仿真实验中对比分析所提方法与其他4种方法，验证了所提方法的有效性。 |
| 关键词: 分数时延滤波器 对称Farrow结构 二阶锥规划 加权最小二乘 频率响应 |
| DOI：DOI:10.3969/j.issn.1672-2337.2025.04.007 |
| 分类号:TN958.2 |
| 基金项目:安徽省科技重大专项（No.202003a05020027） |
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| A Design Method for Symmetric Farrow Structured Fractional Delay Filter |
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JIA Kexin, CHEN Yang
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The 38th Research Institute of China Electronics Technology Group Corporation, Hefei 230088, China
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| Abstract: |
| To minimize the complexity of the implementation structure and obtain the global optimal solution of the filter coefficients by controlling the approximation accuracy of the filter frequency response, a design method of symmetric Farrow structured fractional delay filter based on second?order cone programming（SOCP） is proposed. According to the linear phase characteristics of the FIR filter, this method constructs a weighted least square fitting objective function and frequency response error constraints, and converts the constraints into linear inequality constraints. The design of symmetric Farrow structured fractional delay filter can be transformed into a convex optimization solution problem. This problem can be solved by using the SOCP method to obtain the globally optimal filter coefficients that satisfy the constraints of amplitude and phase frequency response errors. The effectiveness of the proposed method is verified by comparing it with the other four methods in simulation experiments. |
| Key words: fractional delay filter symmetric Farrow structure second⁃order cone programming weighted least square frequency response |
