通信学报2025，Vol.46Issue(4)：121-128,8.DOI:10.11959/j.issn.1000-436x.2025072
基于梯度下降的可变分数时延滤波器优化方法
Optimization method for variable fractional delay filters based on gradient descent
摘要
Abstract
In order to address the requirements for low distortion transmission of variable fractional delay filters,an opti-mization method based on gradient descent and root mean square propagation was proposed.Firstly,the matrix form of the objective function and gradient expressions were derived,and an exponential moving average was used to adjust the step size based on historical and current gradient information.Secondly,the weight update mechanism incorporated the residual covariance matrix from previous iterations,thereby enhancing the approximation between the frequency re-sponse of the filter and the ideal response.Finally,comparisons with existing methods were conducted on the aspects of complexity and error.Simulation results demonstrate that,compared with the traditional weighted least square method,the proposed method effectively reduces the normalized root mean square error by 34.36%while maintaining high accu-racy in both local amplitude and group delay.关键词
可变分数时延滤波器/低失真/梯度下降/均方根传播/归一化均方根误差Key words
variable fractional delay filter/low distortion/gradient descent/root mean square propagation/normalized root mean square error分类
电子信息工程引用本文复制引用
庄陵,郝汉杰..基于梯度下降的可变分数时延滤波器优化方法[J].通信学报,2025,46(4):121-128,8.基金项目
重庆市教育委员会科学技术研究基金资助项目(No.KJQN202200617) The Science and Technology Research Program of Chongqing Municipal Education Commission(No.KJQN-202200617) （No.KJQN202200617）
