Premium
Improvement of a Fourier coefficient estimation method using an adaptive algorithm and its performance analysis
Author(s) -
Kudoh Norimasa,
Tadokoro Yoshiaki
Publication year - 2004
Publication title -
electrical engineering in japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.136
H-Index - 28
eISSN - 1520-6416
pISSN - 0424-7760
DOI - 10.1002/eej.10362
Subject(s) - algorithm , fourier transform , noise (video) , fourier series , computer science , least mean squares filter , amplitude , signal (programming language) , fast fourier transform , signal processing , adaptive algorithm , adaptive filter , mathematics , digital signal processing , artificial intelligence , mathematical analysis , physics , quantum mechanics , computer hardware , image (mathematics) , programming language
There are many applications where it is necessary to estimate accurately the amplitude and phase of signals when the information regarding the frequencies is obtained in advance. This paper presents a new algorithm for estimating more accurately Fourier coefficients of a signal contaminated by additive noise where sinusoidal frequencies of interest are not distributed uniformly. In the proposed method, Fourier coefficients are adaptive parameters. It uses averaged gradient signals and has almost the same acquisition time as the conventional LMS algorithm with more accurate estimation. The performance analysis of the proposed method is presented and its validity and limits are verified under various conditions by computer simulations. It is shown that the proposed method has especially better performance than the LMS algorithm when both the number of frequencies and the step size parameter, µ, are large. © 2004 Wiley Periodicals, Inc. Electr Eng Jpn, 149(1): 52–60, 2004; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/eej.10362