Statistics of a Blind Channel Estimator based on 'Logic Strings'
Conference: SCC'08 - 7th International ITG Conference on Source and Channel Coding
01/14/2008 - 01/16/2008 at Ulm, Germany
Pages: 6Language: englishTyp: PDFPersonal VDE Members are entitled to a 10% discount on this title
Rave, Wolfgang; Santos, André Fonseca dos; Fettweis, Gerhard (Vodafone Chair for Mobile Communications, Dresden University of Technology Helmholtzstrasse 18, Dresden, Germany)
We derive the mean squared error (variance) of a blind channel estimator that exploits constraints imposed on valid combinations of code bits (also called ’logic strings’) and the respective receive symbols by the parity check equations of a channel code. The dependence of the estimation error on the length of the logic strings, their available number as well as on the channel impulse response is quantified for a finite number of observations, i.e. logic strings that are available within one data block. The result explains, why short logic strings perform significantly better than longer ones. This provides a guideline to choose appropriate codes and allows for given typical channel conditions to select the appropriate code or block length to achieve the desired accuracy of the channel estimate.