2 problems
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The APSK capacity-achieving signaling conjecture for quantized polar receivers
APSK capacity-achieving signaling conjecture. The capacity-achieving signaling scheme for such a channel should be amplitude-phase shift keying (APSK).
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Finite-support conjecture for the average-power constrained AWGN-QO channel
Finite-support conjecture. An input distribution with cardinality not exceeding the number of quantization bins achieves the channel capacity.