ESTIMATION THE FREQUENCY VECTOR OF A TWO-DIMENSIONAL HARMONIC SIGNAL USING THREE-POINT INTERPOLATION ALGORITHMS AND SINGULAR VALUE DECOMPOSITION
I. S. Gruzman
Novosibirsk State Technical University, pr. Karla Marksa 20, Novosibirsk, 630073
Keywords: оценивание частоты, вещественный двумерный сигнал, алгоритмы интерполяции, коэффициенты дискретного преобразования Фурье, сингулярное разложение матриц, frequency estimation, two-dimensional real signal, interpolation algorithms, discrete Fourier transform coefficients, singular value decomposition of matrices
Abstract
Computationally simple algorithms are proposed to estimate the local frequency vector of a real two-dimensional signal with slowly varying parameters in the presence of additive Gaussian noise. The rough most likely estimate of the frequency vector is refined using three-point interpolation algorithms and the singular value decomposition of a $3\times 3$ matrix of discrete Fourier transform coefficients. The results of computer simulation are presented showing the efficiency of the algorithms for analyzed fragments of small size.
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