Period estimation of noise-laden signals under non-integer period truncation

In the field of digital signal analysis and processing, discrete spectrum analysis is always an inevitable research topic. Signal period estimation plays an important role in improving the accuracy of spectrum analysis. When we perform truncation analysis on the signal, it is inevitable that the signal will be truncated by non-integral period, resulting in spectrum leakage. In this paper, we study the spectrum leakage law, obtain the leakage law of spectrum leakage attenuating by Gaussian function approximately along the frequency direction, and propose the minimum energy leakage period estimation method based on autocorrelation. The experimental results show that the algorithm is simple and can estimate the period of the signal when the signal-to-noise ratio is -10dB, which has strong anti-noise characteristics.