Journal article
Characterizations of families of rectangular, finite impulse response, para-unitary systems
Journal of applied mathematics & computing, Vol.54(1-2), pp.395-423
06/01/2017
DOI: 10.1007/s12190-016-1015-x
Abstract
We here study finite impulse response (FIR) rectangular, not necessarily causal, systems which are (para)-unitary on the unit circle (=the class ). First, we offer three characterizations of these systems. Then, introduce a description of all FIRs in , as copies of a real polytope, parametrized by the dimensions and the McMillan degree of the FIRs. Finally, we present six simple ways (along with their combinations) to construct, from any FIR, a large family of FIRs, of various dimensions and McMillan degrees, so that whenever the original system is in , so is the whole family. A key role is played by Hankel matrices.
Details
- Title: Subtitle
- Characterizations of families of rectangular, finite impulse response, para-unitary systems
- Creators
- Daniel Alpay - Ben-Gurion University of the NegevPalle Jorgensen - Univ Iowa, Dept Math, 14 MLH, Iowa City, IA 52242 USAIzchak Lewkowicz - Ben-Gurion University of the Negev
- Resource Type
- Journal article
- Publication Details
- Journal of applied mathematics & computing, Vol.54(1-2), pp.395-423
- Publisher
- SPRINGER HEIDELBERG
- DOI
- 10.1007/s12190-016-1015-x
- ISSN
- 1598-5865
- eISSN
- 1865-2085
- Number of pages
- 29
- Language
- English
- Date published
- 06/01/2017
- Academic Unit
- Mathematics
- Record Identifier
- 9984240864902771
Metrics
4 Record Views