Title :
Rational wavelet decompositions and finite-dimensional approximations of a class of infinite-dimensional systems
Author :
Pati, Y.C. ; Krishnaprasad, P.S.
Author_Institution :
Dept. of Electr. Eng., Maryland Univ., College Park, MD, USA
Abstract :
Frame decompositions of the Hardy space H2(Π+ ) are investigated as a means of constructing rational approximations to a class of nonrational transfer functions. The frames of interest are generated via dilations and translations of a single real-rational analyzing wavelet. The compactness of the time-frequency localized representation is exploited in constructing low-order rational approximants
Keywords :
approximation theory; filtering and prediction theory; time-frequency analysis; transfer functions; wavelet transforms; Hardy space; dilations; finite-dimensional approximations; frame decomposition; infinite-dimensional systems; low-order rational approximants; nonrational transfer functions; rational approximations; real-rational analyzing wavelet; time-frequency localized representation; translations; Context modeling; Contracts; Educational institutions; Hilbert space; Military computing; Research initiatives; System identification; Time frequency analysis; Transfer functions; Wavelet analysis;
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1992., Proceedings of the IEEE-SP International Symposium
Conference_Location :
Victoria, BC
Print_ISBN :
0-7803-0805-0
DOI :
10.1109/TFTSA.1992.274204
