Title :
Perturbation analysis of TK method for harmonic retrieval problems
Author :
Hua, Y. ; Sarkar, T.K.
Author_Institution :
Dept. of Electr. & Comput. Eng., Syracuse Univ., NY, USA
Abstract :
The authors present a first-order perturbation analysis of the Tufts-Kumaresan (TK) (1980) method used to estimate frequencies of complex sinusoids in small additive noise. Several fundamental properties are presented and proved. Further illustrations are provided through numerical examples.<>
Keywords :
harmonics; signal processing; spectral analysis; Tufts-Kumaresan method; additive noise; complex sinusoids; first-order perturbation analysis; frequency estimation; harmonic retrieval; signal processing; spectral analysis; Additive noise; Amplitude estimation; Frequency estimation; Harmonic analysis; Information retrieval; Iterative methods; Maximum likelihood estimation; Phase estimation; Polynomials; Vectors;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on