Statistical-Mechanical Analysis of the Second-Order Adaptive Volterra Filter

The Volterra filter is a digital filter that can describe nonlinearity. In this paper, we analyze the dynamic behaviors of an adaptive signal-processing system based on the Volterra filter by a statistical-mechanical method. On the basis of the self-averaging when the tapped delay line is assumed to...

Full description

Saved in:
Bibliographic Details
Main Authors: Motonaka, Kimiko, Katsube, Takashi, Kajikawa, Yoshinobu, Miyoshi, Seiji
Format: Conference Proceeding
Language:English
Subjects:
Adaptive systems
Differential equations
Kernel
Noise measurement
Numerical simulation
Signal processing algorithms
Symmetric matrices
Online Access:Request full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The Volterra filter is a digital filter that can describe nonlinearity. In this paper, we analyze the dynamic behaviors of an adaptive signal-processing system based on the Volterra filter by a statistical-mechanical method. On the basis of the self-averaging when the tapped delay line is assumed to be infinitely long, we derive simultaneous differential equations in a deterministic and closed form that describe the behaviors of the macroscopic variables and obtain the exact solution by solving them analytically. In addition, the validity of the derived theory is confirmed by comparison with numerical simulations.
ISSN:2640-0103
DOI:10.23919/APSIPA.2018.8659649