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Optimum Linear Coding for Additive Noise Systems Using Information Feedback


Butman, Stanley (1967) Optimum Linear Coding for Additive Noise Systems Using Information Feedback. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/7ZSR-4928.


The feedback coding problem for Gaussian systems in which the noise is neither white nor statistically independent between channels is formulated in terms of arbitrary linear codes at the transmitter and at the receiver. This new formulation is used to determine a number of feedback communication systems. In particular, the optimum linear code that satisfies an average power constraint on the transmitted signals is derived for a system with noiseless feedback and forward noise of arbitrary covariance. The noisy feedback problem is considered and signal sets for the forward and feedback channels are obtained with an average power constraint on each. The general formulation and results are valid for non-Gaussian systems in which the second order statistics are known, the results being applicable to the determination of error bounds via the Chebychev inequality.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:(Electrical Engineering)
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Electrical Engineering
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Grettenberg, Thomas L.
Thesis Committee:
  • Unknown, Unknown
Defense Date:24 May 1967
Funding AgencyGrant Number
Radio Corporation of America FellowshipUNSPECIFIED
Naval Ordnance Test StationN00123-67-C-1188
Record Number:CaltechTHESIS:10262015-143321124
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9249
Deposited On:27 Oct 2015 22:41
Last Modified:15 Mar 2024 18:16

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