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Stability and synthesis of two-dimensional recursive filters

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3 Author(s)
Shanks, J.L. ; Amoco Production Co., Tulsa, OK, USA ; Treitel, Sven ; Justice, J.H.

Two-dimensional recursive filters are conveniently described in terms of two-dimensional z transforms. The designer of these filters faces two fundamental problems, their stability and their synthesis. Stability is determined by the location of the zero-valued region of the filter's denominator polynomial. A conjecture based on a one-dimensional stability theorem leads to a useful empirical stabilization procedure. Two-dimensional recursive filters can be synthesized to approximate large varieties of desired two-dimensional pulse responses. A conformal transformation yields two-dimensional recursive bandpass filters from appropriately specified one-dimensional filters.

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Audio and Electroacoustics, IEEE Transactions on  (Volume:20 ,  Issue: 2 )