Transfer function realization of a class of doubly-terminated two-variable lossless networks and their application in linear-phase 2-dimensional digital filter design
✍ Scribed by M. Ahmadi; M.O. Ahmad; V. Ramachandran
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 428 KB
- Volume
- 321
- Category
- Article
- ISSN
- 0016-0032
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✦ Synopsis
A method is presented for the design of a class of two-dimensional (2-D) stable digital filters satisfying prescribed magnitude and constant group delay specifications. The design method generates a 2-D digital transfer function which is a product of two transfer functions H,(z,,z,) and H,(z,,z,), corresponding to a recursivejlter and a nonrecursive$lter, respectively. Component H,(z,, z2) ensures a wave-digital realization, that is, the design method guarantees the generation of a corresponding analogfunction H,,(s,, s2) which is realizable as the transfer function of a doubly-terminated two-variable lossless network. Thus the design technique ensures that not only is a given frequency response achieved, but also the generated transferfunction is realizable as a cascade of a wave-digitaljlter and a nonrecursive digital$lter. The class offilters considered here is one in which the doubly-terminated analog network used to realize the wave digitaljlter is a cascade of sl-and s,-variable lossless two-ports with all their transmission zeros at infinity.