Title :
PR-QMF design with Bernstein polynomials
Author :
Caglar, Hakan ; Akansu, Ali N.
Author_Institution :
Dept. of Electr. & Comput. Eng., New Jersey Inst. of Technol., Newark, NJ, USA
Abstract :
A generalized, parametric PR-QMF (perfect reconstruction quadrature mirror filter) design technique based on the Bernstein polynomial approximation is developed. The parametric nature of this solution provides very useful insights into the PR-QMF problem. Several well-known orthonormal wavelet filters, PR-QMFs, are shown to be the special cases of the proposed technique. The energy compaction performance of a few popular signal decomposition techniques is presented for AR(1) signal sources. It is shown that the QMF filter banks considered here outperform the block transforms, as expected
Keywords :
filtering and prediction theory; polynomials; signal processing; AR(1) signal sources; Bernstein polynomials; design technique; energy compaction performance; orthonormal wavelet filters; perfect reconstruction; polynomial approximation; quadrature mirror filter; signal decomposition techniques; Compaction; Filter bank; Low pass filters; Mirrors; Polynomials; Signal design; Signal processing; Wavelet transforms;
Conference_Titel :
Circuits and Systems, 1992. ISCAS '92. Proceedings., 1992 IEEE International Symposium on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-0593-0
DOI :
10.1109/ISCAS.1992.230051
