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1On Multiplicative Matrix Channels over Finite Chain Rings
| Content Provider | CiteSeerX |
|---|---|
| Author | Nóbrega, Roberto W. Feng, Chen Silva, Danilo Uchôa-Filho, Bartolomeu F. |
| Abstract | Motivated by physical-layer network coding, this paper considers communication in multiplicative matrix channels over finite chain rings. Such channels are defined by the law Y = AX, where X and Y are the input and output matrices, respectively, and A is called the transfer matrix. It is assumed a coherent scenario in which the instances of the transfer matrix are unknown to the transmitter, but available to the receiver. It is also assumed that A and X are independent. Besides that, no restrictions on the statistics of A are imposed. As contributions, a closed-form expression for the channel capacity is obtained, and a coding scheme for the channel is proposed. It is then shown that the scheme can achieve the capacity with polynomial time complexity and can provide correcting guarantees under a worst-case channel model. The results in the paper extend the corresponding ones for finite fields. Index Terms Channel capacity, discrete memoryless channel, finite chain ring, multiplicative matrix channel, physical-layer network coding. I. |
| File Format | |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
