Frequency Estimation of Non-Equidistant Small Sample Gaussian Noise Based on Mean Square Error and Particle Swarm Optimization

For small sample Gaussian noise with non-equal interval sampling, an adaptive function derived from mean square error is constructed and iteratively solved by particle swarm optimization algorithm. Finally, the frequency of the effective signal is deduced by averaging the multiple solutions. Numerical experiments show that the proposed method can make up for the shortcomings of fast Fourier transform and maximum equal intervals, and obtain higher prediction accuracy than Gaussian deconvolution and Zoom_FFT methods.