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The maximum coding rate allowing the destination to do so will be derived in Section 3.4.
These two techniques can be combined to achieve a double diversity order for a maximum coding rate on the Multiple-Access Relay Channel (MARC), where two sources share a common relay in their transmission to the destination.
Figure 8 Density evolution of full-diversity LDPC ensembles with maximum coding rate with iterative decoding on a MARC. is the average information bit energy-to-noise ratio on the -, -, and - links.
In a nutshell, if the relay transmits a linear transformation of the information bits from both sources during of the time, a double diversity order can be achieved with one overall error-correcting code with a maximum coding rate.
The increase of the maximum coding rate yielding full diversity from to is achieved through network coding [13] at the physical layer, that is, sends a transformation of its incoming bit packets to (only linear transformations over GF 5) are considered here).
It turns out that splitting information bits in two parts and letting one part to be transmitted on the first fading gain and the other part on the second fading gain is the only way to guarantee full diversity for maximum coding rate [22].
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For every modulation format considered, the minimum and maximum code rate settings of [3] have been included in this simulation.
Although Alamouti's STBC provides full transmit and receive antenna diversity, the maximum code rate of one can be achieved for two transmit antennas only.
The maximum code rate was restricted to 3/4, and the pilot modes 4, 5, 6, 7, and 8 were excluded in consideration of the HD layer under the mobile channel environment.
The table also indicates the maximum code rate achievable (channel capacity) with independent sources 1 2 I ( X 1, X 2, Y | α = 0.5 ) over the same channel (noise level), as well as the actual value of the joint mutual information 1 2 I ( X 1, X 2 ; Y | α = 0.1 ) of the DJSC code.
R c is the code rate, I ind = 1 2 I ( X 1, X 2 ; Y | α = 0.5 ) is the maximum code rate achievable (channel capacity) with independent sources, and I c = 1 2 I ( X 1, X 2 ; Y | α = 0.1 ) is the actual value of the joint mutual information of the DJSC code. Figure 9 JSC rate R JSC (channel uses per source bit) of proposed DJSC codes.
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