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The turbo decoding algorithm and its phase trajectories
Written by:
Dakshi Agrawal
and
Alexander Vardy.
Citation:
Proceedings of IEEE International Symposium on Information Theory,
2000, page 316, June 2000.
Copyright © (2000) by IEEE. Permission to make digital or
hard copies of part or all of this work for personal or classroom use
is granted without fee provided that copies are not made or distributed
for profit. To copy otherwise, to republish, to post on servers, or to
redistribute to lists, requires prior specific permission and/or a fee.
Abstract:
We analyze phase trajectories of the turbo decoding algorithm as a
function of the signal-to-noise ratio (SNR). We prove the existence
of fixed points not only at asymptotically high SNRs but also at
asymptotically low SNRs. Fixed points at practical SNRs are empirically
divided into two classes: indecisive fixed points which usually lead
to numerous erroneous decisions and unequivocal fixed points which
usually correspond to correct decisions. The waterfall region in the
performance curve of turbo decoding is characterized as the region of
transition from convergence to indecisive fixed points to convergence
to unequivocal fixed points.
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