8 problems
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Lapidoth's finite-precision CSIT conjecture for MISO broadcast channels
Let a MISO broadcast channel be a multiple-input single-output broadcast channel, and suppose that the channel-state information at the transmitter has finite precision. Lapidoth's…
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The conjecture that FDD downlink CSI feedback can be eliminated using uplink–downlink relationships
Let massive multiple-input multiple-output (MIMO) systems operate in frequency-division duplexing (FDD) mode, with uplink (UL) and downlink (DL) channels at different frequencies.…
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Linear DoF regions equal DoF regions for Type II private-message MIMO broadcast channels
Consider a two-user MIMO broadcast channel with private messages, arbitrary antenna configuration, and one of the four Type II hybrid CSIT models, namely the PN, DN, NP, and ND set…
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Linear DoF regions equal DoF regions for Type II hybrid CSIT models
Let the two-user MIMO broadcast channel with common and private messages have arbitrary antenna configuration and one of the four Type II hybrid CSIT models, namely a model in whic…
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Optimality of the pre-coding for broadcast channels with receiver message side information
Consider a two-receiver memoryless broadcast channel with states and receiver message side information (RMSI), together with the corresponding channel without RMSI. Let a transmiss…
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Conjecture that more users decrease the required feedback frequency
Feedback-frequency conjecture. Increasing the number of users should decrease the feedback frequency required to achieve the relevant DoF performance, as suggested by the outer-bou…
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No data-rate gain from full first-hop CSI in distributed orthogonal space-time coding
Full-CSI no-gain conjecture. The data-rate cannot be improved by assuming that the relays have full channel state information of the first hop.
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The conjectured data-rate bound for DOSTBCs with channel phase information
DOSTBC-CPI data-rate conjecture. The upper bound of the data-rate of a DOSTBC-CPI should be smaller than .