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Performance bounds for high rate linear codes over partial-response channels

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2 Author(s)
Duman, T.M. ; Dept. of Electr. Eng., Arizona State Univ., Tempe, AZ, USA ; Kurtas, E.M.

We develop union bounds for high-rate linear codes used for partial-response equalized channels with additive white Gaussian noise. The bounds assume uniform interleaving and are based on an approximation which is valid for high-rate linear codes. Furthermore, the derivation of the bounds assumes that maximum-likelihood decoding is employed. One particular application of the present setting is the computation of bounds for magnetic recording systems using turbo codes. The results can be considered as a generalization of the results of M. Oberg and P.H. Siegel (see Proc. Allerton Conf. Communications, Control and Computing, Sept. 1998) which develops the union bound for the dicode channel; however, our approach is completely different. We present several examples of the bounds developed together with the simulation results

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Information Theory, IEEE Transactions on  (Volume:47 ,  Issue: 3 )