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The stabilization of two‐dimensional non‐symmetric half‐plane recursive filters via the discrete Hilbert transformations
Author(s) -
Reddy C. R.,
Sathyanarayana P.,
Swamy M. N. S.
Publication year - 1991
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490190103
Subject(s) - mathematics , plane (geometry) , transformation (genetics) , hilbert transform , complex plane , polynomial , filter (signal processing) , mathematical analysis , geometry , computer science , biochemistry , chemistry , spectral density , statistics , computer vision , gene
The discrete Hilbert transform (DHT) relations for 2D semicausal signals have been introduced. an alternative algorithm to stabilize non‐symmetric half‐plane (NSHP) recursive filters by applying the DHT directly in the nonsymmetric half‐plane is presented. the results of the direct DHT (DDHT) stabilization procedure are compared with the method of quarter‐plane DHT (QDHT) stabilization after transforming the NSHP polynomial into the quarter‐plane by application of an appropriate transformation. It is observed that the proposed scheme produces the same stable NSHP filter as that obtained through the QDHT method.