Analog Codes for Gross Error Correction in Signal Transmission
We proposed a novel decoding algorithm for Analog Codes (Reed-Solomon Codes over complex numbers), the syndrome repairing (SR) algorithm, for gross error correction in signal transmission. Simulations show that, if the number of gross errors is not too large and the amplitude of background noise is small enough (compared to the amplitude of gross errors), the SR algorithm recovers the original signal with nearly the same accuracy as if no gross errors occur upon transmission. In particular, if the transmission is background-noise-free, then the recovery is exact.
F. N. Hu et al., "Analog Codes for Gross Error Correction in Signal Transmission", Advanced Materials Research, Vols. 341-342, pp. 514-518, 2012