Cosine-modulated 2 dimensional FIR filter banks satisfying perfect reconstruction

Masaaki Ikehara

doi:10.1109/ICASSP.1994.390071

Cosine-modulated 2 dimensional FIR filter banks satisfying perfect reconstruction

Masaaki Ikehara

Department of Electronics and Electrical Engineering

Research output: Contribution to journal › Conference article › peer-review

1 Citation (Scopus)

Abstract

In this paper, I consider about the theory of cosine-modulated 2 Dimensional (2-D) perfect reconstruction (PR) Filter banks. At first, I design a 2-D digital filter with half passband obtained by the sampling matrix. Next, 2-D analysis filter banks are realized by cosine-modulating this prototype 2-D digital filter. It is shown that the modulation in 2-D frequency plane is equivalent to the 1-D modulation. An necessary and sufficient condition for 2-D perfect reconstruction filter banks is derived. If the polyphase filter pairs of the prototype filter have doubly-complement, the resulting 2-D filter bank satisfies the condition of perfect reconstruction.

Original language	English
Article number	390071
Pages (from-to)	III137-III140
Journal	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	3
DOIs	https://doi.org/10.1109/ICASSP.1994.390071
Publication status	Published - 1994 Jan 1
Event	Proceedings of the 1994 IEEE International Conference on Acoustics, Speech and Signal Processing. Part 2 (of 6) - Adelaide, Aust Duration: 1994 Apr 19 → 1994 Apr 22

ASJC Scopus subject areas

Software
Signal Processing
Electrical and Electronic Engineering

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10.1109/ICASSP.1994.390071

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title = "Cosine-modulated 2 dimensional FIR filter banks satisfying perfect reconstruction",

abstract = "In this paper, I consider about the theory of cosine-modulated 2 Dimensional (2-D) perfect reconstruction (PR) Filter banks. At first, I design a 2-D digital filter with half passband obtained by the sampling matrix. Next, 2-D analysis filter banks are realized by cosine-modulating this prototype 2-D digital filter. It is shown that the modulation in 2-D frequency plane is equivalent to the 1-D modulation. An necessary and sufficient condition for 2-D perfect reconstruction filter banks is derived. If the polyphase filter pairs of the prototype filter have doubly-complement, the resulting 2-D filter bank satisfies the condition of perfect reconstruction.",

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year = "1994",

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doi = "10.1109/ICASSP.1994.390071",

language = "English",

volume = "3",

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journal = "Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing",

issn = "0736-7791",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "Proceedings of the 1994 IEEE International Conference on Acoustics, Speech and Signal Processing. Part 2 (of 6) ; Conference date: 19-04-1994 Through 22-04-1994",

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T1 - Cosine-modulated 2 dimensional FIR filter banks satisfying perfect reconstruction

AU - Ikehara, Masaaki

PY - 1994/1/1

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N2 - In this paper, I consider about the theory of cosine-modulated 2 Dimensional (2-D) perfect reconstruction (PR) Filter banks. At first, I design a 2-D digital filter with half passband obtained by the sampling matrix. Next, 2-D analysis filter banks are realized by cosine-modulating this prototype 2-D digital filter. It is shown that the modulation in 2-D frequency plane is equivalent to the 1-D modulation. An necessary and sufficient condition for 2-D perfect reconstruction filter banks is derived. If the polyphase filter pairs of the prototype filter have doubly-complement, the resulting 2-D filter bank satisfies the condition of perfect reconstruction.

AB - In this paper, I consider about the theory of cosine-modulated 2 Dimensional (2-D) perfect reconstruction (PR) Filter banks. At first, I design a 2-D digital filter with half passband obtained by the sampling matrix. Next, 2-D analysis filter banks are realized by cosine-modulating this prototype 2-D digital filter. It is shown that the modulation in 2-D frequency plane is equivalent to the 1-D modulation. An necessary and sufficient condition for 2-D perfect reconstruction filter banks is derived. If the polyphase filter pairs of the prototype filter have doubly-complement, the resulting 2-D filter bank satisfies the condition of perfect reconstruction.

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VL - 3

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JO - Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing

JF - Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing

M1 - 390071

T2 - Proceedings of the 1994 IEEE International Conference on Acoustics, Speech and Signal Processing. Part 2 (of 6)

Y2 - 19 April 1994 through 22 April 1994

ER -

Cosine-modulated 2 dimensional FIR filter banks satisfying perfect reconstruction

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