Evaluation of Error-Correction Capability for Two-Dimensional Coding in a Time-Frequency Channel
Abstract
Purpose: To contend with communication channel impairments, the errors typical for a given channel should be specified. This requires a definition of the channel model which would allow to estimate probabilities within it. The simplest classical channel models are inadequate for the description of modern information transmission systems. We have to consider more complex models; this leads to the problem of computations in these models. Results: In this paper, a the two-dimensional (time-frequency) communication channel is discussed. We evaluate the transition probabilities of the channel with finite number of states, allowing to apply the technique of decoding error probability evaluation in a one-dimensional (time or frequency) channel to the estimation of error probability in the twodimensional channel. In many practical cases, the obtained evaluations may require excessive computational resources, so a simplifying technique is proposed for the computations, based on the reduction of the number of states, taking into account the acceptable inaccuracy of the computations. Practical relevance: The obtained results help in choosing a computationally acceptable channel model, for which the satisfactory bounds on erroneous decoding probability can be evaluated.
