Tytuł pozycji:
Frequency Estimation Algorithms by Fusion Spectra of Multi-section Sinusoids
For achieving a more precise frequency estimation of a short sinusoid at low SNR, a algorithm based on fusion spectra of Multi-section Sinusoids(M-sinusoids) was proposed. In order to solve the discontinuous phases problem of M-sinusoids, the Optimization Weighted-Accumulation (OW-A) spectrum was gained through weighted-accumulation spectra of M-sinusoids by the designed weighted factor. The correlation spectrum, which could inherit the narrow and high main-lobe of the OW-A spectrum, and the good noise immunity of the accumulation spectrum of M-sinusoids, was constructed by correlation OW-A spectrum and the accumulation spectrum. Therefore, higher precision frequency estimation could be obtained through spectral peak searching of the correlation spectrum. Moreover, in order to meet the high real-time demand in some fields, a fast algorithm of the proposed algorithm was put forward. This fast algorithm could reduce most computational cost of the proposed algorithm by the following techniques: design a fast DTFT algorithm, reduction dimensions of the weighted fusion spectrum matrix, 1/3 main-lodes correlation of the OW-A spectrum and the accumulation spectrum. Simulations demonstrate the superior performance of the proposed algorithms; the fast algorithm could reduce most calculation of the proposed algorithm with lowering a little frequency estimation precision, and it works better in very low SNR (SNR≤-13dB).
W artykule zaproponowano algorytm estymacji częstotliwości krótkich fal sinusoidalnych o niskim zaszumieniu (SNR). Rozwiązanie bazuje na widmie fuzji M-częstotliowości sinusoid (M-sinusoids). W celu rozwiązania problemu nieciągłości faz M-sinusoid zastosowano współczynniki wagowe zawartości częstotliwości, co pozwoliło na ich optymalizację (ang. Optimization Weighted-Accumulation). Zastosowanie algorytmu pozwala na zwiększenie precyzji estymacji przy jednoczesnym zwiększeniu szybkości wykonania. Wyniki badań symulacyjnych potwierdzają skuteczność działania.
