Two-dimensional spectral factorization with applications in recursive digital filtering

Journal Article · Wed Mar 31 23:00:00 EST 1976 · IEEE Trans. Acoust., Speech, Signal Process.; (United States)

DOI:https://doi.org/10.1109/TASSP.1976.1162785· OSTI ID:7318678

Ekstrom, M P; Woods, J W

The concept of spectral factorization is extended to two dimensions in such a way as to preserve the analytic characteristics of the factors. The factorization makes use of a homomorphic transform procedure due to Wiener. The resulting factors are shown to be recursively computable and stable in agreement with one-dimensional (1-D) spectral factorization. The factors are not generally two-dimensional (2-D) polynomials, but can be approximated as such. These results are applied to 2-D recursive filtering, filter design, and a computationally attractive stability test for recursive filters. 11 figures.

• Research Organization: Lawrence Livermore Lab., CA
• OSTI ID: 7318678
• Journal Information: IEEE Trans. Acoust., Speech, Signal Process.; (United States), Journal Name: IEEE Trans. Acoust., Speech, Signal Process.; (United States) Vol. ASSP-24:2; ISSN IETAB
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS
990200* -- Mathematics & Computers
DATA PROCESSING
DESIGN
DIGITAL FILTERS
DIGITAL FREQUENCY ANALYSIS
FACTORIZATION
PROCESSING
SIGNALS
STABILITY
TWO-DIMENSIONAL CALCULATIONS