Coding scheme for a noisy multiple-access adder channel is proposed. When st T-user delta-decodable affine code C is given a priori, a qT-user lambda delta-decodable affine code C* is produced by using a q x q matrix ...
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Coding scheme for a noisy multiple-access adder channel is proposed. When st T-user delta-decodable affine code C is given a priori, a qT-user lambda delta-decodable affine code C* is produced by using a q x q matrix B satisfying BA = lambda Iq x q e.g., a Hadamard matrix or a conference matrix. In particular, the case of delta = 1 is considered for the practical purposes. A (2n - 1)-user uniquely decodable (6 = 1) affine code Cn with arbitrary code length n is recursively constructed. When Cn plays a role of C, a q(2n - I)-user X-decodable affine code C* is obtained. The code length and the number of users of C* are more flexible than those of the Wilson's code. The total rate of the X-decodable code in this paper tends to be higher than that of the X-decodable code by Wilson as the number of users increases.
multi-user uniquely decodable (UD) k-ary coding for the multiple-access adder channel is investigated. It is shown that a Tf+g+1-user UD k-ary affine code with code length f+g+1 can be obtained from two T-f-user and T...
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multi-user uniquely decodable (UD) k-ary coding for the multiple-access adder channel is investigated. It is shown that a Tf+g+1-user UD k-ary affine code with code length f+g+1 can be obtained from two T-f-user and T-g-user UD k-ary affine codes. This leads to construct recursively a T-n-user UD k-ary affine code with arbitrary code length n. The total rate of the code tends to be higher than those of all the multi-user UD k-ary codes reported previously as the number of users increases.
This paper considers a low-complexity iterative linear minimum mean square error (LMMSE) multiuser detector for the multiple-input and multiple-output system with nonorthogonal multiple access (MIMO-NOMA), where multi...
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This paper considers a low-complexity iterative linear minimum mean square error (LMMSE) multiuser detector for the multiple-input and multiple-output system with nonorthogonal multiple access (MIMO-NOMA), where multiple single-antenna users simultaneously communicate with a multiple-antenna base station (BS). While LMMSE being a linear detector has a low complexity, it has suboptimal performance in multiuser detection scenario due to the mismatch between LMMSE detection and multiuser decoding. Therefore, in this paper, we provide the matching conditions between the detector and decoders for MIMO-NOMA, which are then used to derive the achievable rate of the iterative detection. We prove that a matched iterative LMMSE detector can achieve the optimal capacity of symmetric MIMO-NOMA with any number of users, the optimal sum capacity of asymmetric MIMO-NOMA with any number of users, all the maximal extreme points in the capacity region of asymmetric MIMO-NOMA with any number of users, and all points in the capacity region of two-user and three-user asymmetric MIMO-NOMA systems. In addition, a kind of practical low-complexity error-correcting multiusercode, called irregular repeat-accumulate code, is designed to match the LMMSE detector. Numerical results shows that the bit error rate performance of the proposed iterative LMMSE detection outperforms the state-of-art methods and is within 0.8 dB from the associated capacity limit.
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