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| The Peak-to-average Power Ratio Reduction Method for Prolate Spheroidal Wave Function Based on Givens Rotation Transformation |
| Chen Zhao-nan Wang Hong-xing Zhong Pei-lin Zhang Xue-jun Liu Chuan-hui |
| Department of Electrical and Information Engineering, Naval Aeronautical and Astronautical University, Yantai 264001, China |
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Abstract To reduce the high Peak-to-Average Power Ratio (PAPR) of modulated signals based on Prolate Spheroidal Wave Function (PSWF) pulse, a novel PAPR reduction method for PSWF pulse based on Givens rotation is proposed. The method represents firstly orthogonal PSWF pulses with weighted eigenvectors, and then uses Givens matrix G(i,j,Θ) to rotate all the two-dimensional planes of coordinate (i,j) with any angle. The rotation matrix which most greatly reduces the PAPR of pulse set is searched and the original PSWF pulse set is transformed with the matrix. To reduce the realizaition complexity, a flipping iteration scheme based on grouping is proposed. It is theoretically proved that the transform can maintenance orthogonality of pulse set and high energy concentration in the given frequency domain. Simulation results show that the method can effectively reduce the PAPR of pulse set and preserve the transmission efficiency, the Power Spectral Density (PSD) and Bit Error Ratio (BER) performance of modulated signals.
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Received: 19 September 2012
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Corresponding Authors:
Chen Zhao-nan
E-mail: chzhnan12@163.com
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2013, Vol. 35 
