A closed-form identification of multichannel moving average processes by ESPRIT

In this paper, a closed-form identification of possibly nonminimum phase multichannel moving average (MA) processes is derived by exploiting the eigenstructures of the observation cumulant matrices using the ESPRIT algorithm. The proposed approach allows the combination of statistics of different orders for better performance and offers reduced computation complexity when compared with existing iterative approaches. Simulations are also presented to demonstrate the performance of the proposed algorithm.

[1]  Avinash C. Kak,et al.  Array signal processing , 1985 .

[2]  M. Rosenblatt.  Stationary sequences and random fields , 1985 .

[3]  Jerry M. Mendel,et al.  A unified approach to modeling multichannel ARMA processes , 1989, International Conference on Acoustics, Speech, and Signal Processing,.

[4]  J. Mendel,et al.  Cumulant based identification of multichannel moving-average models , 1989 .

[5]  Thomas Kailath,et al.  Detection of signals by information theoretic criteria , 1985, IEEE Trans. Acoust. Speech Signal Process..

[6]  Jerry M. Mendel,et al.  Tutorial on higher-order statistics (spectra) in signal processing and system theory: theoretical results and some applications , 1991, Proc. IEEE.

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

[8]  Thomas Kailath,et al.  ESPRIT-A subspace rotation approach to estimation of parameters of cisoids in noise , 1986, IEEE Trans. Acoust. Speech Signal Process..

[9]  G. Giannakis.  On the identifiability of non-Gaussian ARMA models using cumulants , 1990 .

[10]  Lang Tong,et al.  A finite-step global convergence algorithm for the parameter estimation of multichannel MA processes , 1992, IEEE Trans. Signal Process..

[11]  Thomas Kailath,et al.  ESPRIT-estimation of signal parameters via rotational invariance techniques , 1989, IEEE Trans. Acoust. Speech Signal Process..

[12]  Lang Tong,et al.  Waveform-preserving blind estimation of multiple independent sources , 1993, IEEE Trans. Signal Process..

[13]  T. W. Anderson.  An Introduction to Multivariate Statistical Analysis , 1959 .

[14]  ANANTHRAM SWAMI,et al.  Closed-form recursive estimation of MA coefficients using autocorrelations and third-order cumulants , 1989, IEEE Trans. Acoust. Speech Signal Process..

[15]  T. Kailath,et al.  Estimation Of Signal Parameters Via Rotational Invariance Techniques- Esprit , 1986, Nineteeth Asilomar Conference on Circuits, Systems and Computers, 1985..

[16]  J. Mendel,et al.  Time and lag recursive computation of cumulants from a state-space model , 1990 .

[17]  Lang Tong,et al.  Indeterminacy and identifiability of blind identification , 1991 .

[18]  Konstantinos Konstantinides,et al.  Statistical analysis of effective singular values in matrix rank determination , 1988, IEEE Trans. Acoust. Speech Signal Process..