A Generalized Parametric PR-QMF Design Technique Based on Bernstein Polynomial Approximation

Hakan Caglar; Ali N. Akansu

doi:10.1109/78.224242

A Generalized Parametric PR-QMF Design Technique Based on Bernstein Polynomial Approximation

Hakan Caglar, Ali N. Akansu

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

65 Scopus citations

Abstract

A generalized parametric PR-QMF design technique based on Bernstein polynomial approximation in the magnitude square domain is developed in this paper. The parametric nature of this solution provides useful insights to the PR-QMF problem. Several well-known orthonormal wavelet filters, PR-QMF's, are shown to be the special cases of the proposed technique. Energy compaction performance of a few popular signal decomposition techniques are presented for AR(1) signal sources. It is observed that the hierarchical QMF filter banks considered here outperform the block transforms as expected.

Original language	English (US)
Pages (from-to)	2314-2321
Number of pages	8
Journal	IEEE Transactions on Signal Processing
Volume	41
Issue number	7
DOIs	https://doi.org/10.1109/78.224242
State	Published - Jul 1993

All Science Journal Classification (ASJC) codes

Signal Processing
Electrical and Electronic Engineering

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10.1109/78.224242

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abstract = "A generalized parametric PR-QMF design technique based on Bernstein polynomial approximation in the magnitude square domain is developed in this paper. The parametric nature of this solution provides useful insights to the PR-QMF problem. Several well-known orthonormal wavelet filters, PR-QMF's, are shown to be the special cases of the proposed technique. Energy compaction performance of a few popular signal decomposition techniques are presented for AR(1) signal sources. It is observed that the hierarchical QMF filter banks considered here outperform the block transforms as expected.",

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year = "1993",

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AB - A generalized parametric PR-QMF design technique based on Bernstein polynomial approximation in the magnitude square domain is developed in this paper. The parametric nature of this solution provides useful insights to the PR-QMF problem. Several well-known orthonormal wavelet filters, PR-QMF's, are shown to be the special cases of the proposed technique. Energy compaction performance of a few popular signal decomposition techniques are presented for AR(1) signal sources. It is observed that the hierarchical QMF filter banks considered here outperform the block transforms as expected.

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A Generalized Parametric PR-QMF Design Technique Based on Bernstein Polynomial Approximation

Abstract

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