Title :
Convergence properties of an adaptive Fourier analyzer
Author :
Simon, Gyula ; Péceli, Gábor
Author_Institution :
Dept. of Meas. & Inf. Syst., Tech. Univ. Budapest, Hungary
fDate :
2/1/1999 12:00:00 AM
Abstract :
A PLL-like adaptive Fourier analyzer (AFA) was proposed which has shown excellent performance in practical applications. The convergence analysis of this AFA is extremely difficult, and until now theoretical results have not been available. In this paper a modified version of the original AFA is proposed. The new version preserves the effectiveness of the original AFA, and its convergence properties can be exactly analyzed. Sufficient conditions are presented for the exponential stability, and the absolutely monotone convergence, as a function of the harmonic content of the input signal. The speed of the convergence is also estimated, and the effect of the noise and of unmodeled periodic components are analyzed
Keywords :
adaptive filters; adaptive signal processing; asymptotic stability; convergence; filtering theory; noise; observers; spectral analysis; stability criteria; absolutely monotone convergence; adaptive Fourier analyzer; convergence analysis; convergence properties; convergence speed; exponential stability; input signal harmonic content; noise effect; unmodeled periodic components; Adaptive filters; Asymptotic stability; Convergence; Frequency; Performance analysis; Power harmonic filters; Signal processing algorithms; Spectral analysis; Stability analysis; Sufficient conditions;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
