Relay channel について

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Relay channel ：ウィキペディア英語版

Relay channel
In information theory, a relay channel is a probability model of the communication between a sender and a receiver aided by one or more intermediate relay nodes.
== General discrete-time memoryless relay channel ==

A discrete memoryless single-relay channel can be modelled as four finite sets,

X_1, X_2, Y_1,

and

Y

, and a conditional probability distribution

p(y,y_1|x_1,x_2)

on these sets. The probability distribution of the choice of symbols selected by the encoder and the relay encoder is represented by

p(x_1,x_2)


               o------------------o
               |   Relay Encoder  |
               o------------------o
                 A              |
                 | y1        x2 |
                 |              V
o---------o x1 o------------------o y  o---------o
| Encoder |--->|   p(y,y1|x1,x2)  |--->| Decoder |
o---------o    o------------------o    o---------o

There exist three main relaying schemes: Decode-and-Forward, Compress-and-Forward and Amplify-and-Forward. The first two schemes were first proposed in the pioneer article by Cover and El-Gamal.
* Decode-and-Forward (DF): In this relaying scheme, the relay decodes the source message in one block and transmits the re-encoded message in the following block. The achievable rate of DF is known as

\max_ \min \left(  I\left( x_1; y_1 | x_2 \right) , I\left( x_1, x_2 ; y \right)  \right)

.
* Compress-and-Forward (CF): In this relaying scheme, the relay quantizes the received signal in one block and transmits the encoded version of the quantized received signal in the following block. The achievable rate of CF is known as

\max_  I\left( x_1; \hat, y | x_2 \right)

subject to

I(x_2;y) \geq I(y_1; \hat y_1 | y)

.
* Amplify-and-Forward (AF): In this relaying scheme, the relay sends an amplified version of the received signal in the last time-slot. Comparing with DF and CF, AF requires much less delay as the relay node operates time-slot by time-slot. Also, AF requires much less computing power as no decoding or quantizing operation is performed at the relay side.

抄文引用元・出典: フリー百科事典『ウィキペディア（Wikipedia）』
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