Using Innovative Differential Evolution Algorithm for OFDM Reducing PAPR

In this paper, tone injection (TI) based on differential evolution algorithm (DE) is proposed to reduce the peak-to-average power ratio (PAPR) of orthogonal frequency division multiplexing (OFDM) signals. TI is a distortionless PAPR reduction technique, but its high search complexity for finding optimal TI scheme requires an exhaustive search over all combinations of possible permutations of the expanded constellation, which is a potential problem for practical applications. In this work we present a novel convex optimization approach to numerically determine the near-optimal tone injection (TI) solution based on a differential evolution algorithm (DETI). DETI is compared to different TI schemes for PAPR reduction and search complexity performances. The simulation results show that the proposed DETI method provides good PAPR reduction and bit error-rate (BER) performances. Finally, the DETI algorithm not only reduces the PAPR significantly, but also decreases the computational complexity. The simulation results show that it achieves more or less the same PAPR reduction as that of exhaustive search.

[1]  Chao-Kai Wen,et al.  PAPR Reduction of OFDM Signals Using Cross-Entropy-Based Tone Injection Schemes , 2010, IEEE Signal Processing Letters.

[2]  Farooq Khan LTE for 4G Mobile Broadband: LTE for 4G Mobile Broadband , 2009 .

[3]  Jae Hong Lee,et al.  Tone injection with hexagonal constellation for peak-to-average power ratio reduction in OFDM , 2006, IEEE Communications Letters.

[4]  Tao Jiang,et al.  An Overview: Peak-to-Average Power Ratio Reduction Techniques for OFDM Signals , 2008, IEEE Transactions on Broadcasting.

[5]  J. Huber,et al.  OFDM with reduced peak-to-average power ratio by optimum combination of partial transmit sequences , 1997 .

[6]  Zhi Ding,et al.  A convex optimization approach to reducing peak-to-average-power ratio in OFDM , 2011, 2011 IEEE International Symposium of Circuits and Systems (ISCAS).

[7]  Yung-Fa Huang,et al.  Peak-to-average power ratio reduction in orthogonal frequency division multiplexing system using differential evolution-based partial transmit sequences scheme , 2012, IET Commun..

[8]  Jae Hong Lee,et al.  An overview of peak-to-average power ratio reduction techniques for multicarrier transmission , 2005, IEEE Wireless Communications.

[9]  Kenneth V. Price,et al.  An introduction to differential evolution , 1999 .

[10]  Ponnuthurai N. Suganthan,et al.  An Adaptive Differential Evolution Algorithm With Novel Mutation and Crossover Strategies for Global Numerical Optimization , 2012, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[11]  Seung Hee Han,et al.  An overview of peak-to-average power ratio reduction techniques for multicarrier transmission , 2005, IEEE Wireless Communications.

[12]  Dimitris K. Tasoulis,et al.  Enhancing Differential Evolution Utilizing Proximity-Based Mutation Operators , 2011, IEEE Transactions on Evolutionary Computation.

[13]  R. Storn,et al.  Differential Evolution: A Practical Approach to Global Optimization (Natural Computing Series) , 2005 .

[14]  J. Tellado,et al.  Multicarrier Modulation with Low Par: Applications to DSL and Wireless , 2000 .

[15]  Jose Tellado-Mourelo,et al.  Peak to average power reduction for multicarrier modulation , 1999 .

[16]  Jyh-Horng Wen,et al.  PAPR reduction in OFDM system using differential evolution-based partial transmit sequences scheme , 2011, 2011 International Conference on Machine Learning and Cybernetics.

[17]  Y. Ueda,et al.  A PAPR reduction of OFDM signal using neural networks with tone injection scheme , 2007, 2007 6th International Conference on Information, Communications & Signal Processing.

[18]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[19]  Framing structure , channel coding and modulation for digital terrestrial television , 2022 .