Su, Borching and Vaidyanathan, P. P. (2007) On the Persistency of Excitation for Blind Channel Estimation in Cyclic Prefix Systems. In: 2007 IEEE International Symposium on Circuits and Systems. IEEE International Symposium on Circuits and Systems . IEEE , Piscataway, NJ, pp. 1899-1902. ISBN 978-1-4244-0920-4 http://resolver.caltech.edu/CaltechAUTHORS:20101105-105109822
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Recently, a new subspace-based blind channel estimation algorithm in cyclic prefix (CP) system was reported. A persistency of excitation (PE) property of the input signal is required for the algorithm to work. In this paper, the probability of fulfilling the PE property under different situations is studied. Four factors in the algorithm affect the PE property of the input signal: 1) signal constellation used; 2) precoder coefficients; 3) number of consecutive blocks; 4) a number called the repetition index. Theoretical derivations as well as numerical simulations are given to demonstrate the main points of this paper. Important conclusions are 1) that the probability of fulfilling the PE property increases and converges to unity when the number of received blocks increases but is always upper-bounded by a value less than unity when the repetition index increases; 2) that the probability of fulfilling the PE property is smaller when the algorithm is applied in orthogonal frequency division multiplexing (OFDM) systems than in single-carrier-cyclic-prefix (SC-CP) systems.
|Item Type:||Book Section|
|Additional Information:||© 2007 IEEE. Date of Current Version : 25 June 2007. Work supported in parts by the NSF grant CCF-0428326, ONR grant N00014-06-1-0011, and the Moore Fellowship of the California Institute of Technology.|
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|Deposited By:||Ruth Sustaita|
|Deposited On:||05 Nov 2010 18:17|
|Last Modified:||26 Dec 2012 12:36|
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