scholarly journals Capacity bounds and stochastic resonance for binary input binary output channels

2012 ◽  
Author(s):  
Ira S. Moskowitz ◽  
Paul Cotae ◽  
Pedro N. Safier ◽  
Daniel L. Kang
Keyword(s):  
Stochastic Resonance ◽  
Binary Output ◽  
Capacity Bounds ◽  
Binary Input

ON THE EQUIVALENCE OF TWO-LAYERED PERCEPTRONS WITH BINARY NEURONS

1995 ◽  
Vol 06 (03) ◽  
pp. 225-231 ◽  
Author(s):  
MARCELO BLATT ◽  
EYTAN DOMANY ◽  
IDO KANTER
Keyword(s):  
Boolean Function ◽  
Global Symmetries ◽  
Input Output ◽  
Output Unit ◽  
Binary Output ◽  
Linearly Independent ◽  
Input Layer ◽  
Binary Input

We consider two-layered perceptrons consisting of N binary input units, K binary hidden units and one binary output unit, in the limit N≫K≥1. We prove that the weights of a regular irreducible network are uniquely determined by its input-output map up to some obvious global symmetries. A network is regular if its K weight vectors from the input layer to the K hidden units are linearly independent. A (single layered) perceptron is said to be irreducible if its output depends on every one of its input units; and a two-layered perceptron is irreducible if the K+1 perceptrons that constitute such network are irreducible. By global symmetries we mean, for instance, permuting the labels of the hidden units. Hence, two irreducible regular two-layered perceptrons that implement the same Boolean function must have the same number of hidden units, and must be composed of equivalent perceptrons.

scholarly journals Nonlinear Trellis Codes for Binary-Input Binary-Output Multiple-Access Channels with Single-User Decoding

2012 ◽  
Vol 60 (2) ◽  
pp. 364-374 ◽  
Author(s):  
Miguel Griot ◽  
Andres I. Vila Casado ◽  
Wen-Yen Weng ◽  
Herwin Chan ◽  
Jiadong Wang ◽  
...  
Keyword(s):  
Multiple Access ◽  
Trellis Codes ◽  
Binary Output ◽  
Multiple Access Channels ◽  
Single User ◽  
Binary Input

NOISE-INDUCED PHASE SYNCHRONIZATION: THEORETICAL AND EXPERIMENTAL RESULTS

2003 ◽  
Vol 03 (02) ◽  
pp. L195-L204 ◽  
Author(s):  
JAN A. FREUND ◽  
SYLVAIN BARBAY ◽  
STEFANO LEPRI ◽  
ALESSANDRO ZAVATTA ◽  
GIOVANNI GIACOMELLI
Keyword(s):  
Stochastic Resonance ◽  
Phase Synchronization ◽  
Cavity Surface ◽  
Frequency Entrainment ◽  
Input And Output ◽  
Vertical Cavity Surface ◽  
Surface Emitting Laser ◽  
Binary Input ◽  
Vertical Cavity ◽  
Theory And Experiment

The beneficial role fluctuations can play in the process of phase synchronization is analyzed in terms of a model with binary input and output signals. Special attention is paid to the relation between noise-induced phase synchronization and the well-known phenomenon of stochastic resonance. Analytic predictions are compared with experimental data from a vertical cavity surface emitting laser. Various measures for aperiodic stochastic resonance, frequency entrainment and stochastic phase synchronization reveal a satisfactory agreement between theory and experiment.

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