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Browse Journals & Magazines > Information Theory, IEEE Tran ...> Volume:16 Issue:6 Help

An upper bound on the estimation error in the threshold region

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1 Author(s)
Timor, U.

An upper bound on the estimation error in the threshold region (probability of threshold effect and mean-square error) is obtained for nonlinear pulse modulation systems. The problem is viewed in anN-dimensional Euclidean space. The space of all received signals is divided into two regions, corresponding to the two types of error: weak-noise approximation and threshold effect. The threshold region is geometrically upper bounded by a larger region, and the estimation error is obtained as a sum of incompleteGammafunctions. The resulting bound on the mean-square error was found to be quite close for the cases calculated. An extension of the method to PPM system is also presented.

Published in:
Information Theory, IEEE Transactions on  (Volume:16 ,  Issue: 6 )

Date of Publication: Nov 1970

Page(s):
692 - 699
ISSN :
0018-9448
Digital Object Identifier :
10.1109/TIT.1970.1054548
Product Type:
Journals & Magazines
Date of Current Version :
06 January 2003
Issue Date :
Nov 1970
Sponsored by :
IEEE Information Theory Society

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