Estimating two-dimensional frequencies by matrix enhancement and matrix pencil

作者: Y. Hua

DOI: 10.1109/78.157226

关键词: MathematicsUpper and lower boundsEssential matrixEigenvalues and eigenvectorsMatrix pencilFast Fourier transformPolynomialEstimation theoryMatrix (mathematics)AlgorithmCombinatorics

摘要: A new method, called the matrix enhancement and pencil (MEMP) is presented for estimating two-dimensional (2-D) frequencies. In MEMP an enhanced constructed from data samples, then approach used to extract out 2-D sinusoids principal eigenvectors of matrix. The method yields estimates frequencies efficiently, without solving roots a polynomial or searching in space. It shown that can be faster than FFT if number much smaller set. Simulation results are provided show accuracy very close Cramer-Rao lower bound. >

参考文章(14)
S. Lang, J. McClellan, The extension of Pisarenko's method to multiple dimensions international conference on acoustics, speech, and signal processing. ,vol. 7, pp. 125- 128 ,(1982) , 10.1109/ICASSP.1982.1171696
S. Y. Kung, K. S. Arun, D. V. Bhaskar Rao, State-space and singular-value decomposition-based approximation methods for the harmonic retrieval problem Journal of the Optical Society of America. ,vol. 73, pp. 1799- 1811 ,(1983) , 10.1364/JOSA.73.001799
S. Kay, R. Nekovei, An efficient two-dimensional frequency estimator IEEE Transactions on Acoustics, Speech, and Signal Processing. ,vol. 38, pp. 1807- 1809 ,(1990) , 10.1109/29.60114
J.H. McClellan, Multidimensional spectral estimation Proceedings of the IEEE. ,vol. 70, pp. 1029- 1039 ,(1982) , 10.1109/PROC.1982.12431
M.D. Zoltowski, D. Stavrinides, Sensor array signal processing via a procrustes rotations based eigenanalysis of the ESPRIT data pencil IEEE Transactions on Acoustics, Speech, and Signal Processing. ,vol. 37, pp. 832- 861 ,(1989) , 10.1109/ASSP.1989.28056
R. Kumaresan, D.W. Tufts, A two-dimensional technique for frequency-wavenumber estimation Proceedings of the IEEE. ,vol. 69, pp. 1515- 1517 ,(1981) , 10.1109/PROC.1981.12192
Y. Hua, T.K. Sarkar, Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise IEEE Transactions on Acoustics, Speech, and Signal Processing. ,vol. 38, pp. 814- 824 ,(1990) , 10.1109/29.56027
M. Wax, T. Kailath, Detection of signals by information theoretic criteria IEEE Transactions on Acoustics, Speech, and Signal Processing. ,vol. 33, pp. 387- 392 ,(1985) , 10.1109/TASSP.1985.1164557
Y. Hua, T.K. Sarkar, On SVD for estimating generalized eigenvalues of singular matrix pencil in noise IEEE Transactions on Signal Processing. ,vol. 39, pp. 892- 900 ,(1991) , 10.1109/78.80911