WSEAS Transactions on Signal Processing
Print ISSN: 1790-5052, E-ISSN: 2224-3488
Volume 10, 2014
Algorithm for Signal Parameters Estimation based on the Differential Samples
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Abstract: This paper is concerned with the estimation of amplitude and phase of an analog multi-harmonic signal based on a series of differential values of the signal. To this end, assuming the signal fundamental frequency is known before hand (i.e., estimated in an independent stage), a complexity-reduced scheme is proposed here. The reduction in complexity is achieved owing to completely new analytical and summarized expressions that enable a quick estimation at a low numerical error. The propose algorithm for the calculation of the unknown parameters requires O((2M)2) flops, while the straightforward solution of the obtained equations takes O((2M)3) flops, where M is number of harmonic coefficients. It is proved that the estimation performance of the proposed algorithm can attain Cramer-Rao lower bound (CRLB) for sufficiently high signal-to-noise ratios. It is applied in signal reconstruction, spectral estimation, system identification, as well as in other important signal processing problems. The paper investigates the errors related to the signal parameter estimation, and there is a computer simulation that demonstrates the accuracy of these algorithms.
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Keywords: Band-limited signals, differential values, analytical solutions, signal reconstruction, simulation
Pages: 263-276
WSEAS Transactions on Signal Processing, ISSN / E-ISSN: 1790-5052 / 2224-3488, Volume 10, 2014, Art. #27