7 problems
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Properness conjecture for MIMO interference alignment
Properness and feasibility conjecture. A MIMO interference network is IA feasible only if it is proper.
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Linear-beamforming optimal sDoF conjecture for cellular networks
Consider a -cell, -user-per-cell cellular network with antenna ratio , and exclude the two exceptional cases … Let and be the intersection point…
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Piecewise-linear optimal sDoF conjecture for MIMO interference channels
Consider a -user interference channel, with antenna ratio and threshold as defined in the source. Let sDoF denote the normalized degrees of freedom, and let…
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Wang–Jafar–Fakharian conjecture on decomposition-based optimal DoF
Let denote the antenna ratio in the considered MIMO interference channel, and let the decomposition-based approach be the beamforming construction discussed in the source.…
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Constant-channel tightness conjecture for the MIMO interference channel DoF outer bound
Consider the three-user MIMO interference channel and its degrees-of-freedom (DoF) outer bound. In the cases where the outer-bound value is fractional, symbol extensions can make t…
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Successive interference alignment for grouped 3K-user channels
Consider a -user interference channel with ? No: let , and partition the transmitter–receiver pairs into groups , each contai…
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Successive interference alignment conjecture
In a MIMO interference network, let active users and secondary users be separated by pre-aligning the interference caused by the secondary transmitters at the active receivers and…