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Method for estimating signal source locations and signal parameters using an array of signal sensor pairs

  • US 4,750,147 A
  • Filed: 11/06/1985
  • Issued: 06/07/1988
  • Est. Priority Date: 11/06/1985
  • Status: Expired due to Term
First Claim
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1. A method of locating signal sources and estimating source parameters comprising the following steps:

  • (a) providing an array of groups of signal sensor pairs, the sensors in each pair in each group being identical except for a fixed displacement which may differ from group to group, thereby defining two subarrays (X and Y) in each group,(b) obtaining signal measurements with the sensor array so configured,(c) determining from said signal measurements the auto-covariance matrix Rxx of the X subarray in each group and the cross-covariance matrix Rxy between the X and Y subarrays in each group,(d) determining the smallest eigenvalue of the covariance matrix,(e) subtracting said smallest eigenvalue from each element of the principal diagonal of the covariance matrix Rxx and obtaining a difference Cxx,(f) determining the generalized eigenvalues of the matrix pair (Cxx, Rxy), and(g) locating the generalized eigenvalues which lie on a unit circle, the number of which corresponding to the number of sources and the locations of which corresponding to the parameter estimates.

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