Group codes for phase- and amplitude-modulated signals on a Gaussian channel
- 1 May 1971
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Information Theory
- Vol. 17 (3) , 315-321
- https://doi.org/10.1109/tit.1971.1054639
Abstract
A group code is a set of vectors, generated by a group of orthogonal matrices transforming a starting vector. Ingemarsson [5] has shown that, if the group is commutative, the code is equivalent to a set of phase-modulated signals. Codes generated by noncommutative groups have been described by Slepian [9]. In this paper another class of codes generated by noncommutative groups is described. This class is called group codes for PHAMP signals and can be described as a combination of phase- and amplitude-modulated signals. The performance of these codes, when communicating over the Gaussian channel, is analyzed, and it is shown that some of them have a performance close to the bounds given by Slepian [8].Keywords
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