论文信息 - Asymmetric half-plane planar least-squares inverses

Asymmetric half-plane planar least-squares inverses

In this paper we present a procedure to obtain two-dimensional (2-D) Planar Least-Squares Inverses (PLSIs) in the general form of asymmetric half-plane (AHP) filters, and which are bounded input output (BIBO) stable in most cases. These PLSIs are obtained by transforming the problem into a one-dimensional PLSI problem using the slice projection theorem, solving it by means of the Levinson's algorithm and transforming the solution back into an AHP filter. The procedure guarantees a good matching of the autocorrelation data and the BIBO stability of the filter in most cases. We discuss the application of this procedure to the stabilization of 2-D recursive filters and provide examples illustrating this application.

Luis F. Chaparro

[1] B.D.O. Anderson,et al. Stabilization of certain two-dimensional recursive digital filters , 1977, Proceedings of the IEEE.

[2] Remark on an equivalent relation in least square approximation , 1979, Proceedings of the IEEE.

[3] J. Makhoul,et al. Linear prediction: A tutorial review , 1975, Proceedings of the IEEE.

[4] S. Treitel,et al. The Stabilization of Two-Dimensional Recursive Filters via the Discrete Hilbert Transform , 1973 .

[5] J. K. Aggarwal,et al. Stabilization of two-dimensional recursive filters , 1979, ICASSP.

[6] S. Treitel,et al. Stability and synthesis of two-dimensional recursive filters , 1972 .

[7] M. Strintzis. BIBO stability of multidimensional filters with rational spectra , 1977 .

[8] R. Mersereau,et al. The representation of two-dimensional sequences as one-dimensional sequences , 1974 .

[9] Y. Kamp,et al. Counterexample in the least-squares inverse stabilisation of 2D recursive filters , 1975 .