Optimization method for variable fractional delay filters based on gradient descent
In order to address the requirements for low distortion transmission of variable fractional delay filters, an optimization 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...
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| Format: | Article |
| Language: | zho |
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Editorial Department of Journal on Communications
2025-04-01
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| Series: | Tongxin xuebao |
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| Online Access: | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2025072/ |
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| _version_ | 1850190815289147392 |
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| author | ZHUANG Ling HAO Hanjie |
| author_facet | ZHUANG Ling HAO Hanjie |
| author_sort | ZHUANG Ling |
| collection | DOAJ |
| description | In order to address the requirements for low distortion transmission of variable fractional delay filters, an optimization 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 response 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 accuracy in both local amplitude and group delay. |
| format | Article |
| id | doaj-art-91ef7c8a6d744082a36cd57f54fa78ea |
| institution | OA Journals |
| issn | 1000-436X |
| language | zho |
| publishDate | 2025-04-01 |
| publisher | Editorial Department of Journal on Communications |
| record_format | Article |
| series | Tongxin xuebao |
| spelling | doaj-art-91ef7c8a6d744082a36cd57f54fa78ea2025-08-20T02:15:08ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2025-04-0146121128100122986Optimization method for variable fractional delay filters based on gradient descentZHUANG LingHAO HanjieIn order to address the requirements for low distortion transmission of variable fractional delay filters, an optimization 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 response 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 accuracy in both local amplitude and group delay.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2025072/variable fractional delay filterlow distortiongradient descentroot mean square propagationnormalized root mean square error |
| spellingShingle | ZHUANG Ling HAO Hanjie Optimization method for variable fractional delay filters based on gradient descent Tongxin xuebao variable fractional delay filter low distortion gradient descent root mean square propagation normalized root mean square error |
| title | Optimization method for variable fractional delay filters based on gradient descent |
| title_full | Optimization method for variable fractional delay filters based on gradient descent |
| title_fullStr | Optimization method for variable fractional delay filters based on gradient descent |
| title_full_unstemmed | Optimization method for variable fractional delay filters based on gradient descent |
| title_short | Optimization method for variable fractional delay filters based on gradient descent |
| title_sort | optimization method for variable fractional delay filters based on gradient descent |
| topic | variable fractional delay filter low distortion gradient descent root mean square propagation normalized root mean square error |
| url | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2025072/ |
| work_keys_str_mv | AT zhuangling optimizationmethodforvariablefractionaldelayfiltersbasedongradientdescent AT haohanjie optimizationmethodforvariablefractionaldelayfiltersbasedongradientdescent |