Title :
Relationship between high-resolution methods and discrete Fourier transform
Author :
Mayrargue, S. ; Blu, Th
Author_Institution :
CNET/PAB/RPE, Issy-les-Moulineaux, France
Abstract :
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
Keywords :
fast Fourier transforms; poles and zeros; polynomials; spectral analysis; DFT; MUSIC; Tufts-Kumaresan method; discrete Fourier transform; high-resolution methods; noise zeros; polynomial theory; rectangular window filtering; time series harmonic analysis; Convergence; Discrete Fourier transforms; Filtering; Fourier transforms; Frequency measurement; Multiple signal classification; Noise measurement; Noise shaping; Polynomials; Shape;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1991. ICASSP-91., 1991 International Conference on
Conference_Location :
Toronto, Ont.
Print_ISBN :
0-7803-0003-3
DOI :
10.1109/ICASSP.1991.150164