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基于随机矩阵的盲频谱感知算法

殷晓虎 田冲 张珂珂 张安熠

电讯技术2025,Vol.65Issue(11):1747-1753,7.
电讯技术2025,Vol.65Issue(11):1747-1753,7.DOI:10.20079/j.issn.1001-893x.240722005

基于随机矩阵的盲频谱感知算法

Blind Spectrum Sensing Based on Random Matrix

殷晓虎 1田冲 1张珂珂 1张安熠1

作者信息

  • 1. 西安科技大学 通信与信息工程学院,西安 710600
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摘要

Abstract

For the issue of decreased detection performance under low signal-to-noise ratio(SNR)conditions due to insufficient utilization of covariance matrix information in covariance-based eigenvalue algorithms for constructing detection statistics,a novel spectral sensing algorithm based on the ratio of the difference between the maximum and minimum eigenvalues to the harmonic mean of eigenvalues is proposed.This algorithm constructs the detection statistic by incorporating both the extreme eigenvalues and the harmonic mean of eigenvalues from the covariance matrix,thereby more comprehensively exploiting the eigenvalue information within the covariance matrix to enhance the detection capability.Furthermore,a novel approach for calculating the harmonic mean is introduced,leveraging the asymptotic distribution theory of eigenvalues in random matrices.This approach aims to not only improve the accuracy of the decision threshold but also further boost the detection performance.Simulation results demonstrate that the proposed algorithm,without requiring prior knowledge of primary users or channel conditions,achieves a detection probability increase of no less than 10%compared with several classic algorithms at-20 dB SNR.

关键词

认知无线电/频谱感知/随机矩阵

Key words

cognitive radio/spectrum sensing/random matrix

分类

电子信息工程

引用本文复制引用

殷晓虎,田冲,张珂珂,张安熠..基于随机矩阵的盲频谱感知算法[J].电讯技术,2025,65(11):1747-1753,7.

基金项目

陕西省科技计划项目(2020GY-029) (2020GY-029)

电讯技术

OA北大核心

1001-893X

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