Title :
An efficient nonlinear least square multisine fitting algorithm
Author :
Simon, Gyula ; Pintelon, Rik ; Sujbert, László ; Schoukens, Johan
Author_Institution :
Dept. of Meas. & Inf. Syst., Budapest Univ. of Technol. & Econ., Hungary
fDate :
8/1/2002 12:00:00 AM
Abstract :
This paper presents a new nonlinear least-squares algorithm for fitting band-limited periodic signals with unknown frequency and harmonic content. The new solution features a model-based recursive calculation method that requires less memory space and has smaller computational demand than the known matrix-based algorithms.
Keywords :
bandlimited signals; computational complexity; convergence of numerical methods; discrete Fourier transforms; frequency estimation; least squares approximations; nonlinear estimation; recursive estimation; resonator filters; signal sampling; bandlimited periodic signals; computational complexity; convergence rates; discrete Fourier transformation; embedded model; iterative solution; low memory requirements; model-based recursive calculation; multisine fitting algorithm; nonlinear least-squares algorithm; observer; parameter estimation; periodic functions; resonator filters; sample variance; unknown frequency content; unknown harmonic content; Amplitude estimation; Frequency estimation; Frequency synchronization; Government; Iterative algorithms; Least squares methods; Parameter estimation; Power harmonic filters; Recursive estimation; Space technology;
Journal_Title :
Instrumentation and Measurement, IEEE Transactions on
DOI :
10.1109/TIM.2002.803304
