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引用本文：

高翔云,张天骐,侯瑞玲,等.基于OMP分解的宽带Chirp信号多参数估计[J].电讯技术，2010，50（10）： - . [点击复制]
GAO Xiang-yun,ZHANG Tian-qi,HOU Rui-ling,et al.Multi-parameter Estimation of Wideband Chirp Signals Based on OMP Decomposition[J].，2010，50（10）： - . [点击复制]

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基于OMP分解的宽带Chirp信号多参数估计
高翔云,张天骐,侯瑞玲,杜晓华
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(重庆邮电大学信号与信息处理重庆市重点实验室，重庆 400065)

摘要:

将信号稀疏分解——正交匹配追踪(Orthogonal Matching Pursuit,OMP)引入到阵列信号处理领域，在OMP分解的基础上，提出了宽带Chirp信号多参数估计方法。首先根据宽带Chirp信号形式建立过完备原子库，对阵列接收信号在该过完备原子库上利用 OMP做稀疏分解，从而由最佳匹配原子的参数获得信号的起始频率和调频斜率的估计，得到宽带Chirp信号形式。在此基础上，再根据阵列结构和已获得的宽带Chirp信号形式建立另一个原子库，通过计算阵列接收数据与原子库中原子之间的互相关矩阵的迹，搜索迹的最大峰值找出最匹配的原子，进而由最佳原子的参数获得信号的波达方向角度（Directio n of Arrival, DOA）的估计。仿真实验证明了该算法对参数估计的有效性，并且表明与WVD ( WignerVille Distribution)方法相比，该方法能更有效地对信号的波达方向角度进行估计。

关键词: 阵列信号处理宽带Chirp信号 DOA估计稀疏分解正交匹配追踪

DOI：

基金项目:国家自然科学基金-中物院NSAF联合基金资助项目（10776040）；国家自然科学基金资助项目（60602057）；信号与信息处理重庆市市级重点实验室建设项目（2009CA2003）；重庆市科委自然科学基金资助项目（CSTC2009BB2287）；重庆市教委自然科学基金资助项目（KJ080517，KJ060509）；重庆邮电大学自然科学基金资助项目（A2 009-65，A2006-86，A2006-04）

Multi-parameter Estimation of Wideband Chirp Signals Based on OMP Decomposition

GAO Xiang-yun,ZHANG Tian-qi,HOU Rui-ling,DU Xiao-hua

(Chongqing Key Laboratory of Signal and Information Processing,Chongqing Unive rsity of Posts and Telecommunications,Chongqing 400065,China)

Abstract:

Sparse decomposition——orthogonal matching pursuit(OMP) is applied to arra y signal processing field, and a new method for multi-parameter estimation of w ideband Chirp signals based on OMP decomposition is pres ented. At first, according to wideband Chirp signal geometry,the over complete dictionary is established and OMP decomposition is performed to the a rray receiving signal on th e overcomplete dictionary. According to the parameter of the best match atom, the estimation of starting frequency and modulating frequency of the signal is obtained , and then the wideband Chirp signal geometry is get. On this base, according t o the array signal structure and the wideband Chirp signal geometry obtained,an other overcomplete dictionary is established. By calculating the trace of c rosscorrelation matrix between the array receiving data and the atom in the at om dictionary, and searching the maximum peak value,the best match atom is obtained . Then, acco rding to the parameter of the best atom, the direction of arrival(DOA) estimatio n of the signal is realized.Simulation results demonstrate that the algorithm is e fficient to the parameter estimation and can estimate the signal′s DOA more efficiently com pared with WignerVille distribution(WVD) algorithm.

Key words: array signal processing wideband Chirp signal directio n of arrival(DOA) estimation sparse decomposition orthogonal matching pursuit(O MP)