Title :
Linear approximation of bilinear Processes
Author_Institution :
Fac. of Eng., Multimedia Univ., Cyberjaya, Malaysia
fDate :
3/1/2005 12:00:00 AM
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;
Journal_Title :
Control Systems Technology, IEEE Transactions on
DOI :
10.1109/TCST.2004.839557
