Capacity Achieving Distributions and Separation Principle for Feedback Gaussian Channels With Memory: the LQG Theory of Directed Information

2018 ◽  
Vol 64 (9) ◽  
pp. 6384-6418 ◽  
Author(s):  
Charalambos D. Charalambous ◽  
Christos K. Kourtellaris ◽  
Sergey Loyka
2011 ◽  
Vol 44 (1) ◽  
pp. 6598-6603
Author(s):  
Charalambos D. Charalambous ◽  
Christos K. Kourtellaris ◽  
Christoforos Hadjicostis

Author(s):  
Rekkal Kahina ◽  
Abdesselam Bassou

An efficient Viterbi decoder is introduced in this paper; it is called Viterbi decoder with window system. The simulation results, over Gaussian channels, are performed from rate 1/2, 1/3 and 2/3 joined to TCM encoder with memory in order of 2, 3. These results show that the proposed scheme outperforms the classical Viterbi by a gain of 1 dB. On the other hand, we propose a function called RSCPOLY2TRELLIS, for recursive systematic convolutional (RSC) encoder which creates the trellis structure of a recursive systematic convolutional encoder from the matrix “H”. Moreover, we present a comparison between the decoding algorithms of the TCM encoder like Viterbi soft and hard, and the variants of the MAP decoder known as BCJR or forward-backward algorithm which is very performant in decoding TCM, but depends on the size of the code, the memory, and the CPU requirements of the application.


2006 ◽  
Vol 04 (03) ◽  
pp. 439-452 ◽  
Author(s):  
NICOLAS J. CERF ◽  
JULIEN CLAVAREAU ◽  
JÉRÉMIE ROLAND ◽  
CHIARA MACCHIAVELLO

Gaussian quantum channels have recently attracted a growing interest, since they may lead to a tractable approach to the generally hard problem of evaluating quantum channel capacities. However, the analysis performed so far has always been restricted to memoryless channels. Here, we consider the case of a bosonic Gaussian channel with memory, and show that the classical capacity can be significantly enhanced by employing entangled input symbols instead of product symbols.


2015 ◽  
Vol 04 (S 01) ◽  
Author(s):  
M. Solomons
Keyword(s):  

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