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Constellation Design With Hypercube Graphs

delete2023-01-01
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PRE
AI
K
Kumar Vijay Mishra *
S
Sunder Ram Krishnan
B
Brian M. Sadler
DOI:10.1109/LSP.2023.3308813delete
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摘要

摘要

En 中文
A high peak-to-average power ratio (PAPR) is a major disadvantage of orthogonal frequency division multiplexing (OFDM) communications systems. In this letter, we present a graph-theoretic heuristic to mitigate high PAPR. In particular, we focus on searching for an optimal Gray-coded mapping to encode user messages such that minimum PAPR is obtained for a given message sequence in an $M$-ary quadrature amplitude modulation (QAM). We exploit the bijection between vertex-weighted lattice constellations and hypercube graphs to formulate the OFDM PAPR optimization as a computationally efficient integer linear program (ILP) through the application of Birkhoff's theorem to doubly stochastic matrices. Our numerical experiments show an average PAPR reduction of 9-10 dB using the hypercube-graph-based constellation map over the worst map while still within 0.5 dB of the brute-force method.
Keyword:
Birkhoff's theorem
Gray codes
hypercube graphs
integer linear programming
OFDM PAPR

期刊

IEEE Signal Processing Magazine 封面图
IEEE Signal Processing Magazine
IF:
9.6
论文数:
1.1W
被引数:
1.7W

机构

A
amrita vishwa vidyapeetham amritapuri
学者数:
474
论文数: 433
被引数: 3
A
Amrita Vishwa Vidyapeetham
学者数:
7.0K
论文数: 4.2K
被引数: 3.3K
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