One approach on ECC identification problem in a complex telecommunication system

摘要

The task of the definition of an a priori unknown Error Correcting code is one of the major tasks for governmental radio control authorities. In particular, the case of the choice of the most probable ECC from the predefined ECCs set. The SA-method (Syndromes analysis method) is suggested to solve the issue. This method is based on the sequences syndrome analysis. Here are given basic results, which were received by statistic simulation method. It's proposed to replace it with much easier (in terms of algorithmic and computational complexity) and equipotential new method based on syndromes computation. For proposed syndrome ECC identification's method (SA-method) we have stated truth criterion for hypothesis (on received potentially corrupted code words): hypothesis should be truth when the zero syndrome's number is not above decision threshold, that depends on investigated ECC parameters and channel bit error probability. We also have found analytical formulas, which define alpha and beta errors' probabilities. The estimation on computational complexity for SA-method have allowed us to conclude that this method is practice-relevant for solving mentioned above problems (i.e. in case of known possible ECC set), and which is quite acceptable to be realized on modern cheap DSP. The proposed ECC's identification SA-method for solving radio emission monitoring problems has extended application area (in comparison with basic method) and easier implementation. Moreover SA-method may be used in practice on radio channels (including channels with high level if noise) for identification both binary and nonbinary ECCs, as well as modem codec's part for ECC switching tracking purposes, as well as for block synchronization purposes.