7 problems
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Maximal diversity conjecture for transmit antenna selection
Maximal diversity conjecture. For the general case with transmitting antennas, the maximal diversity is , coinciding with the lower bound…
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Subunit diversity-order conjecture for rank-deficient coefficient matrices
Let denote the diversity order associated with the probability that the coefficient matrix constructed during cooperative decoding is rank deficient. Subunit diversity-order co…
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Diversity-order conjecture for the m-th best compute-and-forward equation
Let be the number of transmitters, and consider a compute-and-forward system whose linear equations are ordered from best to worst according to the successive minima of the res…
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Rank criterion conjecture for non-coherent non-unitary ABBA-QOSTBCs
Consider a non-coherent multiple-input single-output (MISO) system using a non-unitary quasi-orthogonal space-time block code (QOSTBC) with an ABBA construction. For each pair of d…
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Rank criterion conjecture for non-coherent non-unitary OSTBCs
A space-time block code (STC) used in a multiple-input single-output (MISO) system has a diversity order determined by the ranks of its distance matrices. An orthogonal space-time…
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The threshold-scaling conjecture for avoiding diversity losses in ARQ-SAF
Let denote the SNR, let be the final ARQ round, let and be the channel-related quantity and threshold used in ARQ-SAF, and let and be t…
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EMI- full-diversity rate conjecture for two channel states
EMI- full-diversity rate conjecture. When , the bound is achieved: full diversity is still achieved at coding rate . This conjecture concerns whether the upper bo…