• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>IEEE Transactions on Signal Processing >Optimal Joint Design of Discrete Fractional Fourier Transform Matrices and Mask Coefficients for Multichannel Filtering in Fractional Fourier Domains
【24h】

Optimal Joint Design of Discrete Fractional Fourier Transform Matrices and Mask Coefficients for Multichannel Filtering in Fractional Fourier Domains

机译：分数阶傅里叶域中多通道滤波的离散分数阶傅里叶变换矩阵和掩码系数的最优联合设计

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

The concept of mask operation in fractional Fourier domains is a generalization of the conventional Fourier-based filtering in the frequency domain. It is known that simultaneously employing multiple mask operations in multiple different fractional Fourier domains can lead to significant performance advantages when compared with just employing a single mask operation in a single fractional Fourier domain. However, there is no systematic scheme for optimal joint design of the discrete fractional Fourier transform (DFrFT) matrices and the corresponding sets of mask coefficients. In this paper, we consider this design problem and construct a formulation that does not depend on the knowledge of noise statistics. We then develop an iterative algorithm, which is a hybrid descent (HD) approach, to solve the formulated optimization problem. For this HD approach, a gradient descent method is supplemented by a modified simulated annealing algorithm. It is employed to find the global optimal rotation angles of the DFrFT matrices. During the iterative process, the corresponding sets of mask coefficients can be constructed analytically. Simulation results demonstrate that the proposed scheme is highly effective.
机译：分数傅立叶域中的掩码操作概念是频域中常规基于傅立叶的滤波的概括。众所周知，与仅在单个分数阶傅里叶域中使用单个掩模操作相比，在多个不同的分数阶傅里叶域中同时使用多个掩模操作可以带来显着的性能优势。但是，没有用于离散分数阶傅里叶变换（DFrFT）矩阵和相应掩码系数集的最佳联合设计的系统方案。在本文中，我们考虑了这个设计问题，并构造了一个不依赖于噪声统计知识的公式。然后，我们开发一种迭代算法，这是一种混合下降（HD）方法，以解决公式化的优化问题。对于这种高清方法，通过改进的模拟退火算法来补充梯度下降法。它用于查找DFrFT矩阵的全局最佳旋转角度。在迭代过程中，可以解析地构造相应的掩码系数集。仿真结果表明，该方案是有效的。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号