Simulation and Analysis of Signal-to-Noise Ratios for Statistics of Speckle Interferometry

In speckle interferometry,random errors affect signal-to-noise ratios of statistical results of a reconstruction algorithm and thus limit the reconstruction accuracy.This paper gives a derivation of a theoretical expression of signal-to-noise ratios of the transfer function in speckle interferometry.We then simulate the signal-to-noise ratios of spectral powers within two-dimensional system frequency ranges under various values of a parameter r。and photon number.The simulation results agree well with the theoretical expression.We finally carry out some processing and analysis of observational data,which validates the overall agreement of the expression with real signal-to-noise ratios.