Extension of the Pisarenko method to sparse linear arrays

作者: J.-J. Fuchs

DOI: 10.1109/ICASSP.1995.478489

关键词: Mathematical optimizationLinear programmingNarrowbandMathematicsArray processingCovariance matrixNorm (mathematics)DeconvolutionAlgorithmHarmonic analysisSparse matrix

摘要: When applied to array processing, the Pisarenko harmonic retrieval method is limited linear equispaced arrays. The author presents an approach that allows extend it general For ease of exposition, considers only sparse Though in generality, these arrays already permit localize up N(N-1)/2 narrow-band sources with N-sensors. actually shows can be seen as a deconvolution or model-fitting minimizes l/sub 1/ norm and implemented standard program. Further extensions allowing model take into account statistical nature data (the estimation errors) are also proposed.

参考文章(12)
S. Pillai, F. Haber, Y. Bar-Ness, A new approach to array geometry for improved spatial spectrum estimation international conference on acoustics, speech, and signal processing. ,vol. 10, pp. 1816- 1819 ,(1985) , 10.1109/ICASSP.1985.1168066
C. Proukakis, A. Manikas, Study of ambiguities of linear arrays international conference on acoustics, speech, and signal processing. pp. 549- 552 ,(1994) , 10.1109/ICASSP.1994.389758
Alexander Schrijver, Theory of Linear and Integer Programming ,(1986)
S.U. Pillai, Y. Bar-Ness, F. Haber, A new approach to array geometry for improved spatial spectrum estimation Proceedings of the IEEE. ,vol. 73, pp. 1522- 1524 ,(1985) , 10.1109/PROC.1985.13324
S. Lang, J. McClellan, Spectral estimation for sensor arrays IEEE Transactions on Acoustics, Speech, and Signal Processing. ,vol. 31, pp. 349- 358 ,(1983) , 10.1109/TASSP.1983.1164080
Y.I. Abramovich, D.A. Gray, A.Y. Gorokhov, N.K. Spencer, Positive-definite Toeplitz completion in DOA estimation for fully-augmentable nonuniform linear antenna arrays international conference on acoustics speech and signal processing. ,vol. 5, pp. 2551- 2554 ,(1996) , 10.1109/ICASSP.1996.547984
F.C. Robey, D.R. Fuhrmann, Structured covariance estimation via maximal representation of convex sets international conference on acoustics, speech, and signal processing. pp. 3249- 3252 ,(1991) , 10.1109/ICASSP.1991.150092
J.-J. Fuchs, Linear programming in spectral estimation. Application to array processing international conference on acoustics speech and signal processing. ,vol. 6, pp. 3161- 3164 ,(1996) , 10.1109/ICASSP.1996.550547
H. Chuberre, J.-J. Fuchs, A deconvolution approach to source localization IEEE Transactions on Signal Processing. ,vol. 42, pp. 1462- 1470 ,(1994) , 10.1109/78.286961