## On the Optimality of Symbol by Symbol Filtering and Denoising (2003)

by
Erik Ordentlich
,
Tsachy Weissman

Citations: | 14 - 3 self |

### BibTeX

@MISC{Ordentlich03onthe,

author = {Erik Ordentlich and Tsachy Weissman},

title = {On the Optimality of Symbol by Symbol Filtering and Denoising},

year = {2003}

}

### OpenURL

### Abstract

We consider the problem of optimally recovering a finite-alphabet discrete-time stochastic process {X t } from its noise-corrupted observation process {Z t }. In general, the optimal estimate of X t will depend on all the components of {Z t } on which it can be based. We characterize non-trivial situations (i.e., beyond the case where (X t , Z t ) are independent) for which optimum performance is attained using "symbol by symbol" operations (a.k.a.