基于子空间的指数和分解及在信道估计中的应用

武智炜; 王海泉; 李美慧; 张欣禹; 钱淘鑫

doi:10.11959/j.issn.1000-0801.2023086

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基于子空间的指数和分解及在信道估计中的应用

研究与开发 | 更新时间：2024-06-05

- 基于子空间的指数和分解及在信道估计中的应用
- Decomposition of exponential sums based on subspace and its application in channel estimation
- 电信科学 2023年39卷第4期页码：52-59
- 作者机构：
- 作者简介：
  
  [ "武智炜（1998- ），男，杭州电子科技大学通信工程学院硕士生，主要研究方向为信号与信息处理" ]
  [ "王海泉（1964- ），男，博士，杭州电子科技大学通信工程学院教授、博士生导师，主要研究方向为无线通信、多天线系统、信号检测、信息论等" ]
  [ "李美慧（1998- ），女，杭州电子科技大学通信工程学院硕士生，主要研究方向为信号与信息处理" ]
  [ "张欣禹（1997- ），男，杭州电子科技大学通信工程学院硕士生，主要研究方向为信号与信息处理" ]
  [ "钱淘鑫（1998- ），女，杭州电子科技大学通信工程学院硕士生，主要研究方向为信号与信息处理" ]
- 基金信息：
- DOI：10.11959/j.issn.1000-0801.2023086
  中图分类号： TN91
- 网络出版日期：2023-04，
  
  纸质出版日期：2023-04-20
- 稿件说明：
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武智炜, 王海泉, 李美慧, 等. 基于子空间的指数和分解及在信道估计中的应用[J]. 电信科学, 2023,39(4):52-59.

Zhiwei WU, Haiquan WANG, Meihui LI, et al. Decomposition of exponential sums based on subspace and its application in channel estimation[J]. Telecommunications science, 2023, 39(4): 52-59.
武智炜, 王海泉, 李美慧, 等. 基于子空间的指数和分解及在信道估计中的应用[J]. 电信科学, 2023,39(4):52-59. DOI： 10.11959/j.issn.1000-0801.2023086.

Zhiwei WU, Haiquan WANG, Meihui LI, et al. Decomposition of exponential sums based on subspace and its application in channel estimation[J]. Telecommunications science, 2023, 39(4): 52-59. DOI： 10.11959/j.issn.1000-0801.2023086.

摘要

指数和序列分解问题是一个经典的数学问题，Prony方法和Prony-Kung方法是解决此问题的经典方法。用支撑子空间的观点仔细分析了Prony-Kung方法，在此基础上，理论证明了指数和序列分解问题可以归纳于支撑子空间的确定问题，并对受噪声污染的指数和序列提出了具有低复杂度的Lloyd-like搜索支撑子空间的算法。最后，把以上算法应用于毫米波信道估计，仿真结果表明了此应用的有效性。

Abstract

The problem of the decomposition of an exponential sum sequence is a classical mathematical problem.Prony method and Prony-Kung method are the classical methods to solve this problem.The Prony-Kung method was analyzed in detail from the point of view of support subspace.On this basis

it was proved theoretically that the problem of the decomposition of an exponential sum sequence could be reduced to the determination of the support subspace

and a Lloyd-like algorithm with low-complexity for searching the support subspace for contaminated exponential sum sequence by noised was proposed.Finally

the above algorithm was applied to estimate millimeter wave channel

and the simulation results show the effectiveness of this application.

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references

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