A further analysis for the minimum-variance deconvolution filter performance

Chi and Mendel [1], [9] analyzed the performance of the minimum-variance deconvolution (MVD). In this correspondence, a further analysis of the performance of the MVD filter is presented. We show that the MVD filter performs like an inverse filter and a whitening filter as
SNR \rightarrow \infin
, and like a matched filter as
SNR \rightarrow 0
. The estimation error e (k) of the MVD filter is colored noise, but it becomes white when
SNR \rightarrow 0
. This analysis also connects the error power spectral density of the MVD filter with the spectrum of the causal prediction error filter.