On factorizations of conjugate symmetric Hadamard transform and its relationship with DCT

Seisuke Kyochi, Yuichi Tanaka, Masaaki Ikehara

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

Complex-valued conjugate symmetric Hadamard transform (C-CSHT) is a variant of complex Hadamard transform and effective for some signal processing and communication applications. Its closed-form factorization of the general N-channel (N = 2 m) case was recently proposed, however, there still exist a room to find an effective factorization especially for unified factorization of C-CSHT and its real-valued transform counterpart (R-CSHT). In this paper, we present another simple closed-form factorization of C-CSHT based on that of R-CSHT. The proposed factorization is applicable for both complex- and real-valued CSHTs with one factorization. Furthermore, the relationship with the common block transform, DCT, is revealed.

Original languageEnglish
Title of host publicationICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Pages3477-3480
Number of pages4
DOIs
Publication statusPublished - 2012
Event2012 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2012 - Kyoto, Japan
Duration: 2012 Mar 252012 Mar 30

Other

Other2012 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2012
CountryJapan
CityKyoto
Period12/3/2512/3/30

Fingerprint

Hadamard transforms
Factorization
Signal processing
Communication

Keywords

  • binDCT
  • complex Hadamard transform
  • conjugate symmetric Hadamard transform
  • DCT
  • Hadamard transform

ASJC Scopus subject areas

  • Signal Processing
  • Software
  • Electrical and Electronic Engineering

Cite this

Kyochi, S., Tanaka, Y., & Ikehara, M. (2012). On factorizations of conjugate symmetric Hadamard transform and its relationship with DCT. In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings (pp. 3477-3480). [6288665] https://doi.org/10.1109/ICASSP.2012.6288665

On factorizations of conjugate symmetric Hadamard transform and its relationship with DCT. / Kyochi, Seisuke; Tanaka, Yuichi; Ikehara, Masaaki.

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. 2012. p. 3477-3480 6288665.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kyochi, S, Tanaka, Y & Ikehara, M 2012, On factorizations of conjugate symmetric Hadamard transform and its relationship with DCT. in ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings., 6288665, pp. 3477-3480, 2012 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2012, Kyoto, Japan, 12/3/25. https://doi.org/10.1109/ICASSP.2012.6288665
Kyochi S, Tanaka Y, Ikehara M. On factorizations of conjugate symmetric Hadamard transform and its relationship with DCT. In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. 2012. p. 3477-3480. 6288665 https://doi.org/10.1109/ICASSP.2012.6288665
Kyochi, Seisuke ; Tanaka, Yuichi ; Ikehara, Masaaki. / On factorizations of conjugate symmetric Hadamard transform and its relationship with DCT. ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. 2012. pp. 3477-3480
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