Capacity bounds for bandlimited Gaussian channels with peak-to-average-power-ratio constraint

2018/05/30 by Yizhu Wang, Jing Zhou, Wang, Yizhu +3
Engineering · #FOS: Computer and information sciences #Information Theory (cs.IT) #Optical Network Technologies #Optical Wireless Communication Technologies #PAPR reduction in OFDM

paper · pdf · doi:10.48550/arxiv.1805.11898

openalex publication_date 2018/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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