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 publication2012 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2012 - Proceedings
    Pages3477-3480
    Number of pages4
    DOIs
    Publication statusPublished - 2012 Oct 23
    Event2012 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2012 - Kyoto, Japan
    Duration: 2012 Mar 252012 Mar 30

    Publication series

    NameICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
    ISSN (Print)1520-6149

    Other

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

    Keywords

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

    ASJC Scopus subject areas

    • Software
    • Signal Processing
    • Electrical and Electronic Engineering

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  • Cite this

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