Bayesian Interpolation And Deconvolution

. The deconvolution problem is addressed in stages beginning with the interpolation problem when little prior information is available and proceeding to the full deconvolution problem when a great deal of prior information is available. The results of the calculations indicate that good solutions to the deconvolution problem are available even when limited prior information is available and that these results overlap those obtained when a great deal of prior information is available. The difference between them is that the use of uninformative priors causes large uncertainties in the estimated signal, while highly informative priors decreases the uncertainties in the estimated signal. Introduction The deconvolution problem is important in many branches of science and engineering. In this problem the "image" or signal is convolved with a smearing function. This function is also called an impulse response function because the ideal noiseless signal that one would obtain in response to a..