Estimating two-dimensional frequencies by matrix enhancement and matrix pencil

A method for estimating 2D frequencies, called matrix enhancement and matrix pencil (MEMP), is presented. The MEMP method first constructs an enhanced matrix from the data samples, and then uses the matrix pencil approach to extract the 2D sinusoids from the principal eigenvectors of the enhanced matrix. The method yields the estimates of the 2D frequencies efficiently without solving the roots of a 2D polynomial or searching in a 2D space. Simulation results are provided to show that the accuracy of the MEMP method can be very close to the Cramer-Rao lower bound.<<ETX>>

[1]  K. Arun,et al.  State-space and singular-value decomposition-based approximation methods for the harmonic retrieval problem , 1983 .

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

[3]  Tapan K. Sarkar,et al.  Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise , 1990, IEEE Trans. Acoust. Speech Signal Process..

[4]  Tapan K. Sarkar,et al.  On SVD for estimating generalized eigenvalues of singular matrix pencil in noise , 1991, IEEE Trans. Signal Process..

[5]  James H. McClellan,et al.  The extension of Pisarenko's method to multiple dimensions , 1982, ICASSP.

[6]  Hong Wang,et al.  Coherent signal-subspace processing for the detection and estimation of angles of arrival of multiple wide-band sources , 1985, IEEE Trans. Acoust. Speech Signal Process..

[7]  R. Kumaresan,et al.  Estimation of frequencies of multiple sinusoids: Making linear prediction perform like maximum likelihood , 1982, Proceedings of the IEEE.

[8]  R. Kumaresan,et al.  A two-dimensional technique for frequency-wavenumber estimation , 1981, Proceedings of the IEEE.

[9]  B. Porat,et al.  Digital Spectral Analysis with Applications. , 1988 .

[10]  Harry L. Van Trees,et al.  Detection, Estimation, and Modulation Theory, Part I , 1968 .

[11]  Michael D. Zoltowski,et al.  Sensor array signal processing via a procrustes rotations based eigenanalysis of the ESPRIT data pencil , 1989, IEEE Trans. Acoust. Speech Signal Process..

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

[13]  W. M. Carey,et al.  Digital spectral analysis: with applications , 1986 .

[14]  J.H. McClellan,et al.  Multidimensional spectral estimation , 1982, Proceedings of the IEEE.