Linear approximation of bilinear Processes

Author

Tan, Ai Hui

Author_Institution

Fac. of Eng., Multimedia Univ., Cyberjaya, Malaysia

Volume

13

Issue

2

fYear

2005

fDate

3/1/2005 12:00:00 AM

Firstpage

224

Lastpage

232

Abstract

The linear approximation for a first-order bilinear process perturbed using pseudorandom binary and ternary signals is studied, in terms of the related linear dynamics consisting of the underlying linear dynamics and bias caused by nonlinear distortions. The related time constant is derived from the input-output cross-correlation function. The analysis is extended by simulation to the case of multilevel input signals. Simulation results are also given for a second-order bilinear process, as theoretical results are not available.

Keywords

bilinear systems; identification; nonlinear distortion; first-order bilinear processes; input-output cross-correlation function; linear approximation; linear dynamics; multilevel input signals; nonlinear distortions; pseudorandom binary signal; ternary signal; time constant; Distortion measurement; Frequency measurement; Frequency response; Linear approximation; Nonlinear distortion; Nonlinear dynamical systems; Pi control; Proportional control; Signal analysis; Signal processing; Bilinear processes; identification; multisine signals; nonlinear distortions; pseudorandom signals;

fLanguage

English

Journal_Title

Control Systems Technology, IEEE Transactions on

Publisher

ieee

ISSN

1063-6536

Type

jour

DOI

10.1109/TCST.2004.839557

Filename

1397758