Relationship between high-resolution methods and discrete Fourier transform

A link is established between the discrete Fourier transform (DFT) and two high-resolution methods, MUSIC and the Tufts-Kumaresan (1982) method (TK). The existence and location of the extraneous peaks of MUSIC and the noise zeros of TK are related to the minima of the DFT of the rectangular window filtering the data. Other properties of the noise zeros are given, in relation to polynomial theory.<<ETX>>