Stabilized solutions and multiparameter optimization technique of deconvolution

The paper investigates deconvolution of transient signals. The problem is ill-conditioned, which means that a small uncertainty in the measurement causes large deviation in the reconstructed signal. This amplified noise has to be suppressed at the price of bias in the estimation. A goal of this paper is to search for a generalized approach to the deconvolution technique. We take the problem of deconvolution as solving stabilized solutions of Fredholm integral equations. According to the principium of solving inverse problems in mathematics, we structure a stabilized method for obtaining deconvolution, and study a kind of multiparameter model. The superiority of the presented method is verified by simulation.