A stability criterion for N-dimensional zero-phase recursive digital filters
- 1 June 1977
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in Proceedings of the IEEE
- Vol. 65 (6) , 893-898
- https://doi.org/10.1109/PROC.1977.10586
Abstract
This paper presents an extension of the work of Pistor to N dimensions. The stability of an N-dimensional recursive digital filter is shown to be related to the properties of its cepstrum. A procedure is also given for the decomposition of unstable recursive digital filters having a nonzero nonimaginary frequency response into a set of stable single-quadrant recursive filters.Keywords
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