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In our design, we will take, so that the maximum achievable coding rate can be achieved.
When no common relay is used, the maximum achievable coding rate that allows to achieve full diversity is (according to the blockwise Singleton bound [7, 11]).
The strategy to derive the maximum achievable coding rate is as follows: erase one of the three channels (see Figure 3), and derive the maximum spectral efficiency that allows successful decoding at the destination.
However, when one common relay for two users is used (a Multiple Access Relay Channel MARC), it can be proven that the maximum achievable coding rate yielding full diversity is [12].
In the first part of the paper, we established the channel model, the physical layer network coding framework, the maximum achievable diversity order, and the maximum achievable coding rate yielding full diversity.
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Hence the maximum achievable overall coding rate is.
LDPC codes must be carefully designed to achieve full diversity on this channel and network coding must be applied to increase the achievable coding rate to a maximum rate.
It showed that for any convolutional code and any spatial demultiplexer, the maximum achievable diversity order is related with the product of the code rate and the number of streams.
Recall that the maximum achievable data rate of an -relay repetition-coding network is [12].
To realize network coding, the proposed optimal pairing algorithm exhibits the maximum achievable network throughput, lowest outage probability, and highest fairness among all the proposed schemes.
Moreover optimization was done using response optimizer part of Minitab software and the values of target and allowable minimum responses were defined for the software and finally it calculated the maximum achievable values for both of the responses and also corresponding coded values of mixture components.
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Justyna Jupowicz-Kozak
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