Yg. Xiao et al., A new gradient-based adaptive algorithm estimating sinusoidal signals in arbitrary additive noise, IEICE T FUN, E82A(8), 1999, pp. 1526-1535
Citations number
17
Categorie Soggetti
Eletrical & Eletronics Engineeing
Journal title
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
In this paper, a new gradient-based adaptive algorithm for the estimation o
f discrete Fourier coefficients (DFC) of a noisy sinusoidal signal is propo
sed based on a summed least mean squared error criterion. This algorithm re
quires exactly the same number of multiplications as the conventional LMS a
lgorithm, and presents much improved performance in both whits and colored
noise environments at the expense of some additional memories and additions
only. We first analyze the performance of the conventional LMS algorithm i
n colored additive noise, and point out when its performance deteriorates.
Then, a summed least mean squared error criterion is proposed, which leads
to the above-mentioned new gradient-based adaptive algorithm. The performan
ce of the proposed algorithm is also analyzed for a single frequency case.
Simulation results are provided to support the analytical findings and the
superiority of the new algorithm.