scholarly journals Computation of Channel Capacity Based on Self-Concordant Functions

2012 ◽  
Vol 2012 ◽  
pp. 1-9
Author(s):  
Da-gang Tian ◽  
Yi-qun Huang

The computation of channel capacity is a classical issue in information theory. We prove that algorithms based on self-concordant functions can be used to deal with such issues, especially when constrains are included. A new algorithm to compute the channel capacity per unit cost is proposed. The same view is suited to the computation of maximum entropy. All the algorithms are of polynomial time.

2005 ◽  
Vol 128 (3) ◽  
pp. 584-591 ◽  
Author(s):  
Sanghoon Lee ◽  
Michael D. Bryant ◽  
Lalit Karlapalem

Introduced is a model-based diagnostic system for motors, that also employs concepts of information theory as a health metric. From an existing bond graph of a squirrel cage induction motor, state equations were extracted and simulations performed. Simulated were various cases, including the response of an ideal motor, which functions perfectly to designer’s specifications, and motors with shorted stator coils, a bad phase capacitor, and broken rotor bars. By constructing an analogy between the motor and a communication channel, Shannon’s theorems of information theory were applied to assess functional health. The principal health metric is the channel capacity, which is based on integrals of signal-to-noise ratios. The channel capacity monotonically reduces with degradation of the system, and appears to be an effective discriminator of motor health and sickness. The method was tested via simulations of a three-phase motor; and for experimental verification, a two-phase induction motor was modeled and tested. The method was able to predict impending functional failure, significantly in advance.


2007 ◽  
Vol 48 (9) ◽  
pp. 092102 ◽  
Author(s):  
Imre Csiszár ◽  
Fumio Hiai ◽  
Dénes Petz

1987 ◽  
Vol 109 (3) ◽  
pp. 366-371 ◽  
Author(s):  
R. P. Sukhija ◽  
A. C. Rao

The information theory based on probability concept was developed for application in communication engineering. This theory utilizes the concept of “entropy,” a measure of uncertainty. The errors existing in the output of a path-generating linkage and desired path can be taken as random variables. The entropy function is formulated in terms of design parameters. Minimization of maximum entropy leads to the synthesis of a path-generating mechanism. Optimum allocation of tolerances on link lengths is also carried out.


1990 ◽  
Vol 36 (5) ◽  
pp. 1019-1030 ◽  
Author(s):  
S. Verdu
Keyword(s):  

2011 ◽  
Vol 403-408 ◽  
pp. 3140-3143
Author(s):  
Shuang Qiu ◽  
Yi Chao Zhu ◽  
Jun Chao Shi ◽  
Wei Wang

quantization of channel capacity has significant value in information theory, and its concept is described in this paper. It is proved that channel capacity of quantum and classical communication theory has similar properties according to related definition. Channel capacity of optical communication is analyzed and studied. Then, the channel capacities with different parameters are calculated and exhibited. The relationship among the channel capacity C, average thermal photon numbers 〈M〉and average signal photon numbers K are displayed. As a result, by choosing the parameters reasonably, the signal communication efficiency is improved.


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