Non-separable two-dimensional perfect reconstruction filter banks

Gunnar Karlsson; Martin Vetterli; Jelena Kovacevic

doi:10.1117/12.968952

Non-separable two-dimensional perfect reconstruction filter banks

Gunnar Karlsson, Martin Vetterli, Jelena Kovacevic

Electrical and Computer Engineering

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

Abstract

Non-separable filter banks are studied for general two-dimensional sub-band coding. The developed results are valid for any sub-sampling pattern. A synthesis structure is given which enables cascade-structure design of all two-dimensional paraunitary perfect reconstruction filter banks. The resulting structure is evaluated with regard to free variables and computational complexity. The synthesis structure is also extended to embrace non-paraunitary perfect reconstruction systems. Finally, conditions are derived to test filter banks for linear phase in the polyphase domain.

Original language	English (US)
Pages (from-to)	187-199
Number of pages	13
Journal	Proceedings of SPIE - The International Society for Optical Engineering
Volume	1001
DOIs	https://doi.org/10.1117/12.968952
State	Published - Oct 25 1988

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Computer Science Applications
Applied Mathematics
Electrical and Electronic Engineering

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title = "Non-separable two-dimensional perfect reconstruction filter banks",

abstract = "Non-separable filter banks are studied for general two-dimensional sub-band coding. The developed results are valid for any sub-sampling pattern. A synthesis structure is given which enables cascade-structure design of all two-dimensional paraunitary perfect reconstruction filter banks. The resulting structure is evaluated with regard to free variables and computational complexity. The synthesis structure is also extended to embrace non-paraunitary perfect reconstruction systems. Finally, conditions are derived to test filter banks for linear phase in the polyphase domain.",

author = "Gunnar Karlsson and Martin Vetterli and Jelena Kovacevic",

note = "Funding Information: The authors wish to thank Dr. Didier LeGall of Bell Communications Research for helpful discussions. This work was supported by the National Science Foundation under grants CDR-84-21402 and MIP-88-08277.",

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AU - Vetterli, Martin

AU - Kovacevic, Jelena

N1 - Funding Information: The authors wish to thank Dr. Didier LeGall of Bell Communications Research for helpful discussions. This work was supported by the National Science Foundation under grants CDR-84-21402 and MIP-88-08277.

PY - 1988/10/25

Y1 - 1988/10/25

N2 - Non-separable filter banks are studied for general two-dimensional sub-band coding. The developed results are valid for any sub-sampling pattern. A synthesis structure is given which enables cascade-structure design of all two-dimensional paraunitary perfect reconstruction filter banks. The resulting structure is evaluated with regard to free variables and computational complexity. The synthesis structure is also extended to embrace non-paraunitary perfect reconstruction systems. Finally, conditions are derived to test filter banks for linear phase in the polyphase domain.

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Non-separable two-dimensional perfect reconstruction filter banks

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