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On the Signal Selection Problem for Phase Coherent and Incoherent Communication Channels


Farber, Steven Mark (1968) On the Signal Selection Problem for Phase Coherent and Incoherent Communication Channels. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/2JDG-ST74.


Landau and Slepian [10] have recently obtained a lower bound for the probability of error for any equienergy signal set in the infinite band Gaussian, additive noise channel. They further claim that the regular simplex signal set achieves equality in their lower bound and thereby proves the optimality of this set.

In the following paper it is proven that the simplex signals achieve equality in the lower bound of Landau and Slepian only when the dimension n is less than or equal to three. There is also shown to be an equivalence between certain optimal signal sets for the phase coherent channel described by Landau and Slepian and certain optimal signal sets for the incoherent case which have been recently discovered by Schaffner and Krieger [11] and [12].

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:(Electrical Engineering and Mathematics)
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Electrical Engineering
Minor Option:Mathematics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Grettenberg, Thomas L.
Thesis Committee:
  • Unknown, Unknown
Defense Date:24 May 1968
Record Number:CaltechTHESIS:11052012-151028981
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7254
Deposited By: Benjamin Perez
Deposited On:05 Nov 2012 23:43
Last Modified:02 Apr 2024 17:20

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