Peak-to-Average Power Ratio of Good Codes for Gaussian Channel
Name
Polyansky_Peak-to-average.pdf
Size
139 KB
Format
Adobe PDF
Checksum (MD5)
1073dd79149017a8e3d25cbe8857fbc8
Author(s)
Polyanskiy, Yury
Wu, Yihong
Date Issued
November 2014
Journal
IEEE Transactions on Information Theory
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Citation
Polyanskiy, Yury, and Yihong Wu. “Peak-to-Average Power Ratio of Good Codes for Gaussian Channel.” IEEE Transactions on Information Theory 60, no. 12 (December 2014): 7655–7660.
Version
Original manuscript
Abstract
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 the 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 orthogonal frequency division multiplexing 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.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1109/TIT.2014.2364712
