Title :
Consistency of the minimum mean square error estimate
Author :
Trussell, H. Joel ; Civanlar, M. Reha
Author_Institution :
North Carolina State University, Raleigh, NC, USA
Abstract :
The minimum mean square error estimate for the deconvolution problem of a Gaussian signal in Gaussian noise is shown to be feasible in the sense of being inside closed convex sets defined by the noise statistics. It is pointed out that there is some a priori knowledge which is not satisfied by the Wiener solution but the set formed by this information is not convex.
Keywords :
Deconvolution; Error analysis; Fuzzy sets; Gaussian noise; Image restoration; Iterative methods; Mean square error methods; Signal restoration; State estimation; Statistics;
Conference_Titel :
Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP '87.
DOI :
10.1109/ICASSP.1987.1169771
