A Joint Support Set Recovery Algorithm of MWC Based on Measurement Vectors Transform

dengbohua; lijian; Li Zhi

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A Joint Support Set Recovery Algorithm of MWC Based on Measurement Vectors Transform

更新时间：2023-11-14

- A Joint Support Set Recovery Algorithm of MWC Based on Measurement Vectors Transform
- Advanced Engineering Sciences Vol. 47, Issue Z2, Pages: 161-165(2015)
- 作者机构：
  
  四川大学电子信息学院
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2015，
  
  Published Online：24 December 2014，
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邓伯华,李健,李智.基于测量向量转换的MWC支撑集恢复算法[J].工程科学与技术,2015,47(Z2):161-165.

dengbohua, lijian, Li Zhi. A Joint Support Set Recovery Algorithm of MWC Based on Measurement Vectors Transform. [J]. Advanced Engineering Sciences 47(Z2):161-165(2015)
邓伯华,李健,李智.基于测量向量转换的MWC支撑集恢复算法[J].工程科学与技术,2015,47(Z2):161-165. DOI：

dengbohua, lijian, Li Zhi. A Joint Support Set Recovery Algorithm of MWC Based on Measurement Vectors Transform. [J]. Advanced Engineering Sciences 47(Z2):161-165(2015) DOI：

摘要

中文摘要: 针对调制宽带转换器欠采样重构算法中，连续到有限模块计算复杂度高，计算速度较慢的缺陷，提出一种基于测量向量转换的支撑集恢复算法，通过对测量向量进行频率积分，将无限测量向量转换为单测量向量进而实现支撑集的恢复。该方法只需对频率积分便可实现无限测量向量到单测量向量的转换，避免了以往方法中将无限测量向量转换为多测量向量时，矩阵特征分解的高复杂度运算，而且，后续对单测量向量模型的求解也比以往算法中求解多测量向量模型更简单快速。实验表明该方法在适当的采样数据量下至少可以提高三倍的恢复速率。

Abstract

Abstract:During the recovery procedure

modulated wideband converter

a recently proposed sub-Nyquist sampling method

uses continuous to finite block to get the support set

which suffers high computational complexity

and thus slows down the recovery rate. So

a new method based on measurement vectors transform

called MVT

to get the support set is proposed. By integrating the continuous variable

it transforms infinite measurement vectors model into single measurement vector model

and then uses proven methods to solve single measurement vector model and to get the support set. Transforming infinite measurement vectors model into multiple measurement vectors model suffers high computational complexity

and slows down the whole recovery rate. This is avoided by MVT. And also

solving multiple measurement vectors model is more time-consuming than solving single measurement vector model. The experimental results show that MVT increases the recovery rate at least three times under appropriate number of sampling data.

关键词

压缩感知调制宽带转换器欠采样无限测量向量多测量向量

Keywords

Compressed sensingmodulated wideband convertersub-Nyquist samplinginﬁnite measurement vectorsmultiple measurement vectors

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Related Institution

School of Control and Computer Eng., North China Electric Power Univ.

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