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

Volume

51

Issue

4

fYear

2002

fDate

8/1/2002 12:00:00 AM

Firstpage

750

Lastpage

755

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;

fLanguage

English

Journal_Title

Instrumentation and Measurement, IEEE Transactions on

Publisher

ieee

ISSN

0018-9456

Type

jour

DOI

10.1109/TIM.2002.803304

Filename

1044721