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The Stabilization of Two-Dimensional Recursive Filters via the Discrete Hilbert Transform

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2 Author(s)
Read, R.R. ; Amoco Production Company Research Center Tulsa, Oklahoma ; Treitel, Sven

Two-dimensional recursive filters are useful only if stable, that is, if their outputs remain bounded for bounded inputs. The stability of a recursive filter depends on the phase spectrum of its denominator array. A two-dimensional generalization of the discrete Hilbert transform leads to a scheme producing stability with nominal distortions of the filter's desired amplitude spectrum. The method is therefore an attractive alternate to a least-squares procedure recently described by Shanks et al.

Published in:

Geoscience Electronics, IEEE Transactions on  (Volume:11 ,  Issue: 3 )