A statistical analysis of MUSIC null-spectrum via decomposition of estimation error

Abstract A statistical performance analysis of the multiple signal classification (MUSIC) method is addressed in this paper. To obtain the first and second order statistics of the sample MUSIC null-spectrum at the directions of arrival, a method which does not require the eigendecomposition is considered for the two signal sources case. From this result we obtain a more exact expression of the resolution threshold which is then used to evaluate the resolution capability for two closely located signal sources.

[1]  J. E. Hudson Adaptive Array Principles , 1981 .

[2]  Kevin Buckley,et al.  Spatial-spectrum estimation in a location sector , 1990, IEEE Trans. Acoust. Speech Signal Process..

[3]  Harry B. Lee,et al.  Statistical characterization of the MUSIC null spectrum , 1991, IEEE Trans. Signal Process..

[4]  Harry B. Lee,et al.  Resolution threshold of beamspace MUSIC for two closely spaced emitters , 1990, IEEE Trans. Acoust. Speech Signal Process..

[5]  Petre Stoica,et al.  MUSIC, maximum likelihood, and Cramer-Rao bound: further results and comparisons , 1990, IEEE Trans. Acoust. Speech Signal Process..

[6]  C. Burrus,et al.  Array Signal Processing , 1989 .

[7]  Arthur Jay Barabell,et al.  Improving the resolution performance of eigenstructure-based direction-finding algorithms , 1983, ICASSP.

[8]  Steven J. Leon Linear Algebra With Applications , 1980 .

[9]  Iickho Song,et al.  Asymptotic distribution of the MUSIC null spectrum , 1993, IEEE Trans. Signal Process..

[10]  Gene H. Golub,et al.  Matrix computations , 1983 .

[11]  R. O. Schmidt,et al.  Multiple emitter location and signal Parameter estimation , 1986 .

[12]  Petre Stoica,et al.  MUSIC, maximum likelihood, and Cramer-Rao bound , 1989, IEEE Transactions on Acoustics, Speech, and Signal Processing.

[13]  Bhaskar D. Rao,et al.  Performance analysis of Root-Music , 1989, IEEE Trans. Acoust. Speech Signal Process..

[14]  Mostafa Kaveh,et al.  The statistical performance of the MUSIC and the minimum-norm algorithms in resolving plane waves in noise , 1986, IEEE Trans. Acoust. Speech Signal Process..

[15]  R. Kumaresan,et al.  Estimating the Angles of Arrival of Multiple Plane Waves , 1983, IEEE Transactions on Aerospace and Electronic Systems.