A method of designing cosine-modulated 2D perfect reconstruction FIR filter banks with linear phase

Takayuki Nagai, Masaaki Ikehara

Research output: Contribution to journalArticle

Abstract

This paper proposes a new method for designing cosine-modulated 2D perfect reconstruction FIR filter banks with a linear phase. In conventional cosine-modulated perfect reconstruction filter banks, although the prototype filters have linear phase, it is impossible to obtain linear phases in analysis and synthesis filters. In this paper, the analysis and synthesis filters with linear phases are realized by using a new decomposition scheme. In this scheme, the input signal is decomposed into D+1 subbands in the frequency plane, while the system has 2D channels. These D+1 filters are obtained by cosine modulation of the prototype filter. The remaining D-1 filters are obtained by sine modulation and support the same bandwidth as the cosine-modulated bandpass filters. In this case, the filter bank can satisfy the perfect reconstruction condition by applying certain condition to the prototype filter. The effectiveness of the present method is verified through a design example.

Original languageEnglish
Pages (from-to)1-9
Number of pages9
JournalElectronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
Volume80
Issue number4
Publication statusPublished - 1997 Apr

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Filter banks
FIR filters
Modulation
Bandpass filters
Decomposition
Bandwidth

Keywords

  • 2-dimensional filter banks
  • Cosine modulation
  • Linear phase
  • Perfect reconstruction

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

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abstract = "This paper proposes a new method for designing cosine-modulated 2D perfect reconstruction FIR filter banks with a linear phase. In conventional cosine-modulated perfect reconstruction filter banks, although the prototype filters have linear phase, it is impossible to obtain linear phases in analysis and synthesis filters. In this paper, the analysis and synthesis filters with linear phases are realized by using a new decomposition scheme. In this scheme, the input signal is decomposed into D+1 subbands in the frequency plane, while the system has 2D channels. These D+1 filters are obtained by cosine modulation of the prototype filter. The remaining D-1 filters are obtained by sine modulation and support the same bandwidth as the cosine-modulated bandpass filters. In this case, the filter bank can satisfy the perfect reconstruction condition by applying certain condition to the prototype filter. The effectiveness of the present method is verified through a design example.",
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N2 - This paper proposes a new method for designing cosine-modulated 2D perfect reconstruction FIR filter banks with a linear phase. In conventional cosine-modulated perfect reconstruction filter banks, although the prototype filters have linear phase, it is impossible to obtain linear phases in analysis and synthesis filters. In this paper, the analysis and synthesis filters with linear phases are realized by using a new decomposition scheme. In this scheme, the input signal is decomposed into D+1 subbands in the frequency plane, while the system has 2D channels. These D+1 filters are obtained by cosine modulation of the prototype filter. The remaining D-1 filters are obtained by sine modulation and support the same bandwidth as the cosine-modulated bandpass filters. In this case, the filter bank can satisfy the perfect reconstruction condition by applying certain condition to the prototype filter. The effectiveness of the present method is verified through a design example.

AB - This paper proposes a new method for designing cosine-modulated 2D perfect reconstruction FIR filter banks with a linear phase. In conventional cosine-modulated perfect reconstruction filter banks, although the prototype filters have linear phase, it is impossible to obtain linear phases in analysis and synthesis filters. In this paper, the analysis and synthesis filters with linear phases are realized by using a new decomposition scheme. In this scheme, the input signal is decomposed into D+1 subbands in the frequency plane, while the system has 2D channels. These D+1 filters are obtained by cosine modulation of the prototype filter. The remaining D-1 filters are obtained by sine modulation and support the same bandwidth as the cosine-modulated bandpass filters. In this case, the filter bank can satisfy the perfect reconstruction condition by applying certain condition to the prototype filter. The effectiveness of the present method is verified through a design example.

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