Anticipated Rife Interpolation Algorithm for Frequency Estimation of Sinusoid Signal

Abstract

The precision of Rife interpolation algorithm for frequency estimation of sinusoid signal has a great deviation when the frequency is close to the discrete frequency, and because of the noise, the false of interpolation direction can cause greater deviation, however, the frequency estimate precision is high when the signal frequency is close to the midpoint of two neighboring discrete frequencies. In order to solve the problem, the reason for influencing the precision is analysed in theory, and then anticipated Rife interpolation algorithm is presented, which decides if the direction is right after shifting the frequency. The algorithm can judge the interpolation direction correctly under noise effect, and estimate the frequency of sinusoid signal accurately. The simulation results show that the frequency estimation algorithm based on anticipated Rife interpolation can reduce the restriction that discrete frequency causes. Especially when the signal frequency is close to the discrete frequency, the algorithm can judge the interpolation direction and get the sinusoid signal frequency accurately.