Capacity of Ambient Backscatter Communications with Binary Input and Binary Output Channel

2018 ◽  
Author(s):  
Jing Qian ◽  
Feifei Gao ◽  
Shi Jin ◽  
Ling Xing ◽  
Junhui Zhao
Keyword(s):  
Output Channel ◽  
Binary Output ◽  
Binary Input ◽  
Ambient Backscatter

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
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