A hyper harmonic resolution by using the discrete prolate spheroidal wave functions

Abstract

Based on the harmonic analysis method, discrete spheroidal wave functions are used to achieve a very high spectral resolution. For an N samples vector of the measured signal, the classical Fourier transform discrimination capability is 1/N, while in the method proposed, for the same number of samples, the discrimination capability might attain the value of 2/P, with P as the dimension of the FFT. Additional comparative study of other classical windows (rectangular, Hamming, and Tseng) is made.<>