DocumentCode :
1243354
Title :
Signal Design for Totally Phase-Incoherent Communications
Author :
Von Der Embse, Urban A. ; Scholtz, Robert A. ; Weber, Charles L.
Author_Institution :
Hughes Aircraft Company, El Segundo, CA, USA
Volume :
23
Issue :
2
fYear :
1975
fDate :
2/1/1975 12:00:00 AM
Firstpage :
213
Lastpage :
221
Abstract :
A set of M equally-likely equal-energy transmittable signals is considered, each of which consists of a linear combination of tones from D free running oscillators (D \\leq M) . The oscillator tones are assumed sufficiently disjoint to be orthogonal. The design problem consists of finding the optimal receiver and signal set for various M and D . For the additive white Gaussian noise channel, the optimal receiver first forms the sufficient statistic which consists of noncoherently detecting the energy in each of the D tones. Unlike previous designs of digital transmitters based on minimization of the probability of error, when noncoherent oscillations are employed, the optimal receiver and signal set are dependent on the signal-to-noise ratio. The imposed constraints restrict the signal vectors to the all-positive subspace of the surface of a D -dimen sional sphere. The optimal receiver, signal set, and resulting prob ability of error and channel capacity are determined for M \\geq D = 2 for low and high signal-to-noise ratios. Severe performance constraints imposed by using a suboptimal square-law receiver are discussed. Preliminary results have been obtained for the general case M \\geq D > 2 .
Keywords :
Digital modulation; Signal design; Signal detection; Additive white noise; Aerospace electronics; Estimation theory; Oscillators; Physics; Power system control; Power system stability; Radar signal processing; Signal design; Signal to noise ratio;
fLanguage :
English
Journal_Title :
Communications, IEEE Transactions on
Publisher :
ieee
ISSN :
0090-6778
Type :
jour
DOI :
10.1109/TCOM.1975.1092788
Filename :
1092788
Link To Document :
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