A Formulation of the Convergence Property for the Second-Order AVF Using NLMS Algorithm

• TAKAHAMA Yuri

  Department of Electronics, Faculty of Engineering, Kansai University

• KAJIKAWA Yoshinobu

  Department of Electronics, Faculty of Engineering, Kansai University

• NOMURA Yasuo

  Department of Electronics, Faculty of Engineering, Kansai University

Bibliographic Information

Other Title

• NLMS法による2次AVFの収束特性の定式化

Abstract

We have identified nonlinear systems by using the adaptive Volterra filter (AVF) and used the E-NLMS algorithm proposed by us for the adaptive algorithm. However, the convergence property of the adaptive Volterra filter using E-NLMS has been never analyzed. Therefore, we propose the method of formulating the convergence property in this paper. We use the first order IIR filter expression, which is effective to analize various properties of the NLMS algorithm for linear adaptive system, to formulate the convergence property of the E-NLMS algorithm, and moreover, use the characteristic of the second order Volterra filter which is divided into the diagonal elements (D system) and the other (ED system). We show the theoretical formula derived in this paper to be effective by computer simulations.

Journal

• IEICE technical report. Communication systems

  IEICE technical report. Communication systems 96 (553), 47-54, 1997-03-06

  The Institute of Electronics, Information and Communication Engineers

Keywords

• NLMS algorithm
• Convergence Property
• Nonlinear System
• Adaptive Volterra Filter
• Nonlinear Signal Processing

Details

• CRID: 1573950402175283840
• NII Article ID: 110003282367
• NII Book ID: AN10013298
• Text Lang: ja
• Data Source:
  • CiNii Articles