Sentence examples for finite length code from inspiring English sources

Finally, we discuss some finite length code design issues.

In the final example, we show that MMPE together with the famous I-MMSE relationship of Guo-Shamai-Verdu can be used to bound the MMSE of finite length codes improving on previous characterizations of the phase transition phenomenon for capacity-achieving codes of infinite length.

It is known that the error rate can be used as a measure of reliability and security over the wire-tap channel when practical, finite length codes are used for transmission, and the security gap is an error rate based metric able to jointly treat these two aspects.

There are reasons to believe that the code with the best threshold under an appropriate constraint on the allowed number of iterations, that is, a code with fast convergence, yields the best performance for finite-length codes also when the number of iterations is high, [16].

With practical (finite length) channel codes, this implies that the same decoding error probability can be achieved at a higher sum rate.

This is essentially equivalent to allowing only computer programs with finite lengths of code.

While the aforementioned doping technique has been proposed and investigated for infinite length LDPC codes, finite length rootcheck based LDPC codes that get advantage of the doping technique have not been published yet.

Finally, these claims will be verified by means of simulations for finite length and infinite length codes.

Ongoing studies have revealed construction problems with doped finite length Root-LDPC codes, so that their performance cannot be included here.

The ML performance bound evaluated in the previous subsection factors in the finite length of a PA code ensemble, but the assumption of an ML decoder may be optimistic.

We derive several upper and lower bounds both for finite length and for sequences of codes of growing length.