Improved Toeplitz algorithms to coherent sources DOA estimation

Jun Bai, Xiaohong Shen, Haiyan Wang, Yi Liu

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

17 Scopus citations

Abstract

In this paper, an improved Toeplitz matrix construction algorithm of covariance matrix is applied. This covariance matrix can be used to estimate both the incoherent and the coherent source direction with the Multiple Signal Classification ("MUSIC") algorithm. First, the proposed algorithm uses the correlation sequences of output narrowband signals between each sensor and the reference sensor instead of the corresponding output sequence; Second, the inner product operation is carried on to the new sequences of each sensor and the reference sensor; Last, we construct a Toeplitz matrix using the inner product sequence. Obviously, the constructed covariance matrix for "MUSIC" algorithm is a non-singular matrix no matter the source is coherent or not. Furthermore, a comparative Monte Carlo simulation test among MUSIC, TOP and this paper's improved Correlation Toeplitz (CTOP) Method is presented on linear equipspaced array (LEA) carrying on to both the incoherent and the coherent source signals under each kind of signal-to-noise ratio (SNR). All results show that the CTOP has more accurate estimation performance than MUSIC and TOP method to both the incoherent and the coherent source, the CTOP has superb performance under the low SNR condition, and what is more commendable is that the CTOP is an unbiased estimation method and can overcome the influence of sensor's error also.

Original languageEnglish
Title of host publication2010 International Conference on Measuring Technology and Mechatronics Automation, ICMTMA 2010
Pages442-445
Number of pages4
DOIs
StatePublished - 2010
EventInternational Conference on Measuring Technology and Mechatronics Automation, ICMTMA 2010 - Changsha, China
Duration: 13 Mar 201014 Mar 2010

Publication series

Name2010 International Conference on Measuring Technology and Mechatronics Automation, ICMTMA 2010
Volume2

Conference

ConferenceInternational Conference on Measuring Technology and Mechatronics Automation, ICMTMA 2010
Country/TerritoryChina
CityChangsha
Period13/03/1014/03/10

Keywords

  • Coherent
  • Correlation
  • DOA estimation
  • Toeplitz matrix

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