Asymptotic performance of a modified Schalkwijk-Barron scheme for channels with noiseless feedback (Corresp.)

A modified Schalkwijk-Barron transmission scheme is presented for channels with noiseless feedback. The modified scheme employs blockwise decision and a fixed length transmission in place of Viterbi´s sequential decision feedback. The reliability functions of the modified scheme are derived for the additive white Gaussian noise (AWGN) channel and discrete memoryless channels (DMC´s). For the AWGN channel the result obtained is asymptotically the same as in the case of the Schalkwijk-Barron scheme. On the other hand, the new result obtained for DMC´s shows that the modified scheme also attains high reliability functions for DMC´s.