The method of correcting error “packs” in channels with pulse-code modulation based on binary multiplication without carry

Fedorechko O.I., Vinogradov Y.N., Ivanov A.N.

In article the method for burst errors correction in channels with pulse-code modulation is proposed. The method is based on the mathematical operation of binary multiplication without carry. The offered method permits accelerated performance with reduced computational complexity as compared to Reed – Solomon codes, as com-pared to known weighed check sum codes while using the same number of bits for error control. The mathematical background of the proposed method is first presented. The procedure for burst errors is then explained. A numerical example for procedure is given. An analytical comparison of the complexity of both the proposed and the known methods is presented, that demonstrates the improvements attained. The proposed method can find wide application in modern real time data transmission.

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