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

電気情報工学科

研究成果: Conference article › 査読

5 被引用数 (Scopus)

抄録

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.

本文言語	English
論文番号	390071
ページ（範囲）	III137-III140
ジャーナル	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
巻	3
DOI	https://doi.org/10.1109/ICASSP.1994.390071
出版ステータス	Published - 1994 1月 1
イベント	Proceedings of the 1994 IEEE International Conference on Acoustics, Speech and Signal Processing. Part 2 (of 6) - Adelaide, Aust 継続期間: 1994 4月 19 → 1994 4月 22

ASJC Scopus subject areas

ソフトウェア
信号処理
電子工学および電気工学

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10.1109/ICASSP.1994.390071

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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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Cosine-modulated 2 dimensional FIR filter banks satisfying perfect reconstruction

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