andrew@trlvlsi.uucp (andrew) (01/25/86)
The following statistical problem arises in data communications, esp in
analysis of equalisation adaptation. So far I have been unable to find any
joy with this problem and there appears to be absolutely no work in the
literature but I may not be looking in the right places. I am convinced that
there is very little residual correlation but this is only an impression.
Problem :
At intervals of T seconds a signal (assume white gaussian noise) is
sampled - call this r(k) at the k'th sampling instant.
This is then corrected as follows y(k) = r(k) - f(k)
and an estimate of received data formed ae(k) = sign ( y(k) )
Coming back to the correction signal f(k), this is formed by the use of prior
ae(k)
f(k) = ( ae(k-1) * d(1) + ae(k-2) * d(2) + ...
+ ae(k-N) * d(N) )
where the d's are constant.
Problem is to determine the correlation between ae(k)'s ie. to
what extent to new ae depend on the prior ae. It sure is HARD.
--
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Andrew Jennings , Telecom Australia Research Laboratories, P.O. Box 249
Clayton, Victoria 3168, AUSTRALIA.
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