Bayes estimation of the location of a random-signal source

The scatter of the Bayes estimate of the location of the source of a narrow-band Gaussian signal in the Fresnel zone of a receiving antenna is determined in the case of a quadratic loss function. It is shown that the use of Bayes estimation instead of maximum-likelihood estimation can lead to an appreciable increase of estimation accuracy in the threshold region. It is concluded that the results obtained allow a rational choice to be made between Bayes estimation and maximum-likelihood estimation depending on estimation-accuracy requirements and requirements on the technical simplicity of the estimation algorithm.