This paper proposes a frequency offset correction algorithm for sinusoidal frequency estimation. Combining the high accuracy of the M-Rife algorithm and the small amount of computation of the frequency offset correction algorithm, a recursive algorithm for fast and high-precision sinusoidal signal frequency estimation is studied. First, the M-Rife algorithm is used to perform an initial frequency estimate on a shorter truncated signal sequence. This is used as the initial value to estimate a longer truncated signal sequence using the frequency offset correction algorithm to obtain a more accurate estimated frequency. This is repeated in the last recursive step, and the M-Rife algorithm is used to obtain the final estimated frequency. When the signal sequence is long, the computation of the algorithm is less than that of performing an FFT. Simulation results show that the algorithm has stable performance and the estimated variance is close to the Cramer-Rao Lower Bound (CRLB), which is similar to the M-Rife algorithm. The algorithm is convenient for realizing high-precision frequency estimation in real time.
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