Decomposition of exponential sums based on subspace and its application in channel estimation

Zhiwei WU; Haiquan WANG; Meihui LI; Xinyu ZHANG; Taoxin QIAN

doi:10.11959/j.issn.1000-0801.2023086

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Decomposition of exponential sums based on subspace and its application in channel estimation

Research and Development | 更新时间：2024-06-05

- Decomposition of exponential sums based on subspace and its application in channel estimation
- Telecommunications Science Vol. 39, Issue 4, Pages: 52-59(2023)
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- DOI：10.11959/j.issn.1000-0801.2023086
  CLC： TN91
- Published Online：2023-04，
  
  Published：20 April 2023
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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：

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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