Article ID Journal Published Year Pages File Type
562818 Signal Processing 2011 9 Pages PDF
Abstract

In the present paper we derive a formula for the geometric minimum mean square error (GMMSE) for one-sided and two-sided finite-length vector linear predictors. This formula is written only in terms of the autocorrelation matrix of the vector process being predicted. We also obtain a formula for the GMMSE for one-sided and two-sided infinite-length vector linear predictors of any wide sense stationary (WSS) vector process. This GMMSE expression for the infinite-length case is derived from the GMMSE expression obtained for the finite-length case.

► We compute the GMMSE for one and two-sided finite-length vector linear predictors. ► We obtain the GMMSE for one and two-sided infinite-length vector linear predictors. ► The infinite-length cases are derived from the finite-length cases.

Related Topics
Physical Sciences and Engineering Computer Science Signal Processing
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