Simultaneous approximation for IIR digital filters with log magnitude and phase response

Masahiro Okuda, Masaaki Ikehara, Shin Ichi Takahashi

    研究成果: Article査読

    抄録

    In this paper, we propose a new design algorithm for nearly linear phase IIR digital filters with prescribed log magnitude response. The error function used here is the sum of the weighted log magnitude-squared error and phase-squared error, and so it is possible to control log magnitude and phase response directly. The gradient vector of the proposed error function is easily calculated as the closed form solution because of its nature, in which the real and imaginary part of the logarithm of a complex transfer transfer function corresponds to the log magnitude and phase response, respectively. This algorithm is simple and converges quickly. Finally, we show the validity of the proposed algorithm with some examples.

    本文言語English
    ページ(範囲)1879-1884
    ページ数6
    ジャーナルIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
    E79-A
    11
    出版ステータスPublished - 1996 1 1

    ASJC Scopus subject areas

    • 信号処理
    • コンピュータ グラフィックスおよびコンピュータ支援設計
    • 電子工学および電気工学
    • 応用数学

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