2013/02/01 by Yury Polyanskiy, Yihong Wu, Polyanskiy, Yury +1
Engineering · #Advanced Wireless Communication Techniques #FOS: Computer and information sciences #Information Theory (cs.IT) #PAPR reduction in OFDM #Power Line Communications and Noise
paper · pdf · doi:10.48550/arxiv.1302.0084
openalex publication_date 2013/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Consider a problem of forward error-correction for the additive white Gaussian noise (AWGN) channel. For finite blocklength codes the backoff from the channel capacity is inversely proportional to the square root of the blocklength. In this paper it is shown that codes achieving this tradeoff must necessarily have peak-to-average power ratio (PAPR) proportional to logarithm of the blocklength. This is extended to codes approaching capacity slower, and to PAPR measured at the output of an OFDM modulator. As a by-product the convergence of (Smith's) amplitude-constrained AWGN capacity to Shannon's classical formula is characterized in the regime of large amplitudes. This converse-type result builds upon recent contributions in the study of empirical output distributions of good channel codes.