Random coding applied to multidimensional signal designs
Abstract
Random coding was applied for the first time to the analysis of a general class of multidimensional signal designs. The signal class includes all existing digital modulation techniques and is developed as a frequency and time plane made up of individual frequency/time cells. Each cell is modulated by a discrete amplitude and phase. This model of the signal structure is described in terms of a real vector space, in which the dimensionality depends on the frequency, phase, and time delay of the signal set. The communication channel is the discrete, coherent, additive white Gaussian noise channel. The Mary modulation techniques and analysis are based on a single use of the communication system to send one of M messages. Random coding estimates what maximum information rate is possible if a message is represented as a sequence or combination of Mary symbols. The actual construction of a set of sequences, code words, is not specified by this approach, but the existence of a set which can achieve the maximum rate is guaranteed.
 Publication:

Ph.D. Thesis
 Pub Date:
 1974
 Bibcode:
 1974PhDT........47L
 Keywords:

 Channels (Data Transmission);
 Coding;
 Digital Techniques;
 Mathematical Models;
 Signal Analysis;
 Messages;
 Telecommunication;
 Vector Spaces;
 Communications and Radar