Matched spectral null trellis codes for partial response channel

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G06F 1100

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048887790

ABSTRACT:
A method is disclosed for coding input strings for a partial response channel to provide an output having a reliability determined by a preselectable coding gain. This method involves determining each frequency at which there is a zero in the transfer function of the partial response channel, and then encoding an input string into a binary code string having a power spectrum value of zero for each such frequency. A channel output sequence is generated responsively to transmission of the code string through the channel. The most probable sequence among those having a power spectrum value of zero is then calculated from the channel output sequence and decoded to provide the output.

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A. R. Calderbank, C. Heegard and T. A. Lee, "Binary Convolutional Codes with Application to Magnetic Recording", IEEE Trans. Info. Th., vol. IT-32, No. 6, Nov. 1986, pp. 797-815.
H. Thapar and A. Patel, "A Class of Partial Response Systems for Increasing Storage Density in Magnetic Recording", presented at Intermag 1987, Tokyo, Japan.
R. Wood, "Viterbi Reception of Miller-Squared Code on a Tape Channel", Proceedings of IERE Video and Data Recording Conference, Southhampton, England, 1982.
K. Immink and G. Beenker, "Binary Transmission Codes with Higher Order Spectral Zeroes at Zero Frequency", IEEE Trans. Info. Th., vol. 33, No. 3, May 1987, pp. 452-454.

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