1 research outputs found
Capacity bounds for bandlimited Gaussian channels with peak-to-average-power-ratio constraint
We revisit Shannon's problem of bounding the capacity of bandlimited Gaussian
channel (BLGC) with peak power constraint, and extend the problem to the
peak-to-average-power-ratio (PAPR) constrained case. By lower bounding the
achievable information rate of pulse amplitude modulation with independent and
identically distributed input under a PAPR constraint, we obtain a general
capacity lower bound with respect to the shaping pulse. We then evaluate and
optimize the lower bound by employing some parametric pulses, thereby improving
the best existing result. Following Shannon's approach, capacity upper bound
for PAPR constrained BLGC is also obtained. By combining our upper and lower
bounds, the capacity of PAPR constrained BLGC is bounded to within a finite gap
which tends to zero as the PAPR constraint tends to infinity. Using the same
approach, we also improve existing capacity lower bounds for bandlimited
optical intensity channel at high SNR.Comment: 5 pages, 8 figure