A simple and explicit formulation of non-unique wiener filters for linear predictor with rank-deficient autocorrelation matrix

Shunsuke Koshita, Masahide Abe, Masayuki Kawamata, Takaaki Ohnari, Tomoyuki Kawasaki, Shogo Miura

研究成果: Article査読

抄録

This letter presents a simple and explicit formulation of non-unique Wiener filters associated with the linear predictor for processing of sinusoids. It was shown in the literature that, if the input signal consists of only sinusoids and does not include a white noise, the input autocorrelation matrix in the Wiener-Hopf equation becomes rank-deficient and thus the Wiener filter is not uniquely determined. In this letter we deal with this rank-deficient problem and present a mathematical description of non-unique Wiener filters in a simple and explicit form. This description is directly obtained from the tap number, the frequency of sinusoid, and the delay parameter. We derive this result by means of the elementary row operations on the augmented matrix given by the Wiener-Hopf equation. We also show that the conventional Wiener filter for noisy input signal is included as a special case of our description.

本文言語English
ページ(範囲)1614-1617
ページ数4
ジャーナルIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
E99A
8
DOI
出版ステータスPublished - 2016 8

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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