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稀疏信号表示中的幅度偏差及消除方法
引用本文:成萍,赵家群,姜义成,许荣庆.稀疏信号表示中的幅度偏差及消除方法[J].哈尔滨工业大学学报,2008,40(9):1506-1508.
作者姓名:成萍  赵家群  姜义成  许荣庆
作者单位:1. 哈尔滨工程大学,信息与通信工程学院,哈尔滨,150001
2. 哈尔滨工程大学,理学院,哈尔滨,150001
3. 哈尔滨工业大学,电子工程技术研究所,哈尔滨,150001
摘    要:在稀疏信号表示的并行选取字典算法中,当频率不在栅格点上时,对应的幅度估计可能会有很大的偏差.为了消除这个偏差,本文先求得较精确的频率估计值,然后在其邻域内进行进一步寻优,得到幅度估计.将此方法用于各种信噪比下的仿真信号,都能得到较好的幅度估计性能.因此此方法是一种能有效消除稀疏信号表示中幅度偏差的方法.

关 键 词:稀疏信号表示  并行选取字典  偏差  消除

Amplitude bias and its elimination in sparse signal representation
CHENG Ping,ZHAO Jia-qun,JIANG Yi-cheng,XU Rong-qing.Amplitude bias and its elimination in sparse signal representation[J].Journal of Harbin Institute of Technology,2008,40(9):1506-1508.
Authors:CHENG Ping  ZHAO Jia-qun  JIANG Yi-cheng  XU Rong-qing
Affiliation:1.College of Information and Communication Engineering,Harbin Engineering University,Harbin 150001,China;2.College of Science,Harbin Engineering University,Harbin 150001,China; 3.Research Institute of Electronic Engineering Technology,Harbin Institute of Technology,Harbin 150001,China)
Abstract:In parallel basis selection algorithms of sparse signal representation,there will be serious bias in amplitude estimation when frequency is not in grid.To eliminate the bias,an effective method is given in the paper.In the method,the amplitude estimation is obtained by optimization in the neighboring region after obtaining an accurate frequency estimation.Applying the method into simulating signals of different signal-to-noise ratios,the estimation performance is good.Therefore the method is an effective method to eliminate the bias in amplitude in sparse signal representation.
Keywords:sparse signal representation  parallel basis selection  bias  elimination
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