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uniformly in t. Also, from Theorem A.2 and its corollary, $ w-m(Ol = F hw>, (13) both in the stochastic mean [PI] uniformly in t and almost surely [P,] for every t,-T 5 t _< T. Now from (ll), Thus, with the use of (lo), (12), (13), and mutual independence of { $) , = &(t) $ b(t)-ml(t)1 dt + z akl $ [x(t)-ml(t)1 t=tt which proves ii).
— An intuitive shortcut to understanding the maximum a posteriori (MAP) decoder is presented based on an approximation. This is shown to correspond to a dual-maxima computation combined with forward and backward recursions of Viterbi algorithm computations. The logarithmic version of the MAP algorithm can similarly be reduced to the same form by applying(More)
Forward Error Correcting (FEC) coding is a practical technique for increasing the transmission efficiency of virtually all digital communication channels. whatever their power or bandwidth limitations. Efficiency then applies to both the power and the bandwidth required to support a given information rate. or conversely to increase the information rate to(More)