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Additive and multiplicative minimum-phase decompositions of 2-D rational power density spectra

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1 Author(s)

This paper considers the multiplicative and additive minimum-phase decompositions of a two-dimensional (2-D) rational power density spectrum (commonly known as the spectral factorization and partial fraction expansion problems). It is shown that both of these decompositions generally involve filters which are ratios of 2-D minimum-phase filters, with finite support in one variable, and infinite support in the other variable. It is shown that a sufficient condition for a 2-D autoregressive (AR) spectrum to have a rational additive decomposition is for the minimum-phase whitening filter to have finite reflection coefficient support.

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IEEE Transactions on Circuits and Systems  (Volume:29 ,  Issue: 4 )