On the method of finding frequencies with large amplitudes

The paper is concerned with the problem of determining unknown frequenciesw₁,...w₁, using the firstN observed discrete time signals {x(m, I)}_m^=0N–1 arising from a continuous waveform that is the superposition of a finite number of sinusoidal waves with well-defined frequenciesw_j,j=1,2,...I. We introduce a refined way of Wiener-Levinson method to determine the unknown frequencies with the rate of convergence 1/N^p by using aboutpN samples of the signals, wherep is any given positive integer (cf. [8]). The paper studies the results on the method to determine the frequencies with large amplitudes.