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In this paper, we propose a novel network coded non-binary low-density generator matrix (LDGM) code structure for a multi-access relay system, where multiple sources transmit lattice signals to a destination with the help of a relay. Specifically, we first develop a network coded non-binary LDGM code structure by jointly considering lattice-signal transmissions at the sources and the relay. Then we...
We study the design of network codes for -source -relay wireless networks over slow-fading channels. Binary frame-wise network coding (BFNC) based on cyclic-shifting matrices is developed to achieve full diversity and good coding gain. We develop a criterion in the context of BFNC that if satisfied guarantees to achieve full diversity gain. Based on this criterion, we propose...
We study the design of network codes for M-source, N-relay wireless networks over slow fading channels. Specifically, vector-wise binary field network coding (BFNC) schemes are proposed. In the construction of our BFNC schemes, we utilize a diversity achieving criterion which can be expressed in terms of the linear independence of quasi-cyclic matrices. Our codes can be implemented with low-complexity...
Polar code was proposed by Erdal Arikan as an incentive idea splitting input channels to increase its transition performance. The proposed code that is related to the recursive construction of Reed-Muller codes on the basis of 2-order square matrix G2, can achieve the symmetric capacity of arbitrary binary-input discrete memoryless channels. It has already been mentioned that in principle larger matrices...
We consider the iterative decoding of the Turbo-LDPC and Polar code. By using iterative decoding algorithm, we can get good performance and of new research programs. Turbo codes were introduced by Berrou. Polar codes were proposed by Arikan which can achieve the capacity of arbitrary symmetric binary-input channels. LDPC codes could be decoded in a similar manner to Turbo codes and polar codes, and...
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