Title :
Necessary and sufficient conditions for LTI systems to preserve signal richness
Author :
Su, Borching ; Vaidyanathan, P.P.
Author_Institution :
Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA
Abstract :
There are many ways to define richness of a discrete time signal. In this paper, we consider a particular definition and explore the conditions under which a linear time invariant (LTI) system preserves the richness property. A set of necessary and sufficient conditions has been found. Using this, paraunitary and unimodular matrices can be shown not to preserve richness unless they are constant matrices (or a delayed version in the paraunitary case). A structured proof of the necessary and sufficient conditions is also presented.
Keywords :
invariance; polynomial matrices; signal representation; constant matrices; discrete time signal richness; linear time invariant system; paraunitary matrices; polynomial matrix; signal richness preserving LTI systems; unimodular matrices; Communication channels; Delay; Filter bank; Finite impulse response filter; Paper technology; Polynomials; Sufficient conditions; Time invariant systems;
Conference_Titel :
Circuits and Systems, 2005. ISCAS 2005. IEEE International Symposium on
Print_ISBN :
0-7803-8834-8
DOI :
10.1109/ISCAS.2005.1465267
