Math @ Duke

Publications [#235798] of Robert Calderbank
Papers Published
 Calderbank, AR; Sloane, NJA, FOURDIMENSIONAL MODULATION WITH AN EIGHTSTATE TRELLIS CODE.,
AT&T Technical Journal, vol. 64 no. 5
(1985),
pp. 10051018
(last updated on 2017/12/16)
Abstract: A trellis code is a 'sliding window' method for encoding a binary data stream left brace a**i right brace , a**i equals 0, 1, as a sequence of signal points drawn from R**n. The rule for assigning signal points depends on the state of the encoder. In this paper n equals 4, and the signal points are 4tuples of odd integers. The authors describe an infinite family of eightstate trellis codes. For k equals 3, 4, 5, . . . they construct a trellis encoder with a rate of k bits/fourdimensional signal. They propose that the codes with rates k equals 8 and 12 be considered for use in modems designed to achieve data rates of 9. 6 kb/s and 14. 4 kb/s, respectively.


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