Fast Implementation of Two-Dimensional APES and CAPON Spectral Estimators
Multidimensional Systems and Signal Processing
SAR Image Superresolution via 2-D Adaptive Extrapolation
Multidimensional Systems and Signal Processing
Recursive and fast recursive capon spectral estimators
EURASIP Journal on Applied Signal Processing
SIP'10 Proceedings of the 9th WSEAS international conference on Signal processing
A computationally efficient algorithm for the 2D covariance method
SC '13 Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis
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We present a computationally efficient algorithm for computing the 2-D Capon (1969) spectral estimator. The implementation is based on the fact that the 2-D data covariance matrix will have a Toeplitz-block-Toeplitz structure, with the result that the inverse covariance matrix can be expressed in closed form by using a special case of the Gohberg-Heinig (1974) formula that is a function of strictly the forward 2-D prediction matrix polynomials. Furthermore, we present a novel method, based on a 2-D lattice algorithm, to compute the needed forward prediction matrix polynomials and discuss the difference in the so-obtained 2-D spectral estimate as compared with the one obtained by using the prediction matrix polynomials given by the Whittle-Wiggins-Robinson (1963, 1965) algorithm. Numerical simulations illustrate the improved resolution as well as the clear computational gain in comparison to both the well-known classical implementation and the method published by Liu et al.(see IEEE Trans. Aerosp. Electron. Syst., vol.34, p.1314-19, 1998)