7 problems
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Nonexistence conjecture for optimal asynchronous channel-hopping sequences when the channel count is even
Let be an even positive integer. An asynchronous channel-hopping sequence is a channel-hopping sequence without time synchronization, with minimum conditional time to rendezvou…
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Throughput-region containment for the approximated cognitive radio systems
The two approximated systems have throughput regions determined by the feasible operating parameters and their achievable primary and secondary throughputs. Throughput-region conta…
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The optimal spectrum-awareness strategy for cognitive radio systems
Let the action space of the secondary user (SU) be , where TR denotes simultaneous transmission and reception and TS denotes…
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Monotonicity conjecture for transmission probability in opportunistic wireless energy harvesting
Let denote the transmission probability of a secondary transmitter and let denote the transmit power of the secondary transmitter in the case , where is the ba…
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The opportunistic-spectrum-access explanation for robustness to sensing errors
The simulations compare three video-transmission schemes in cognitive-radio networks while varying the sensing-error parameters and , and observe that averag…
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Conjecture that further splitting of the common message is unnecessary for causal cognitive relay channels
Common-message splitting conjecture. Splitting the common (forwarding) message further into two parts is not necessary for the CRC.
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Hybrid D-SVD/P-SVD performance conjecture for multiple primary receivers
Let denote the number of primary-receiver antennas, let be the secondary transmitter's power, and consider the hybrid D-SVD/P-SVD algorithm together with the D-SVD…