[1] [1] LIU Wu, YANG Qi. Carrier phase recovery without pilot sub-carriers in coherent optical OFDM transmission systems［J］. Acta Photonica Sinica, 2011, 40(12): 1893-1898.

[2] [2] ZHANG Li-jia, LIU Bo, XIN Xiang-jun, et al. Theory and performance analyses in secure CO-OFDM transmission system based on two-dimensional permutation［J］. Journal of Lightwave Technology, 2013, 31(1): 74-80.

[3] [3] XIAO Jiang-nan, YU Jian-jun, LI Xin-ying, et al. Handmard transform combined with companding transform technique for PAPR reduction in an optical direct-detection OFDM system［J］. Journal of Optical Communications and Networking, 2012, 4(10): 709-714.

[4] [4] SHIEH W, DJORDJEVIC I. OFDM for optical communications［M］. Access Online via Elsevier, 2009.

[5] [5] JOO H S, HEO S J, JEON H B, et al. A new blind SLM scheme with low decoding complexity for OFDM systems［J］. IEEE Transactions on Broadcasting, 2012, 58(4): 669-676.

[6] [6] SABBAGHIAN M, KWAK Y, SMIDA B, et al. Near Shannon limit and low peak to average power ratio turbo block coded OFDM［J］. IEEE Transactions on Communications, 2011, 59(8): 2042-2045.

[7] [7] SLIMANE S B. Reducing the peak-to-average power ratio of OFDM signals through pre-coding［J］. Vehicular Technology, 2007, 56(2): 686-695.

[8] [8] WANG Y, LUO Z. Optimized iterative clipping and filtering for PAPR reduction of OFDM signals［J］. IEEE Transactions on Communications, 2011, 59(1): 33-37.

[9] [9] MORE A P, SOMANI S B. The reduction of PAPR in OFDM systems using clipping and SLM method［C］. Information Communication and Embedded Systems (ICICES), 2013: 593-597.

[10] [10] LI Li, QU Dai-ming. Joint decoding of LDPC code and phase factors for OFDM systems with PTS PAPR reduction［J］. IEEE Transactions on Vehicular Technology, 2013, 62(1):444-449.

[11] [11] SINGH K, BHARTI M R, JAMWAL S. A modified PAPR reduction scheme based on SLM and PTS techniques［C］. Signal Processing, Computing and Control (ISPCC), 2012: 1-6.

[12] [12] CHEN En-qing, TAO Ran, ZHANG Wei-qiang, et al. The OFDM system and equalization algorithm based on the fractional Fourier transform［J］. Chinese Journal of Electronics, 2007, 35(3): 409-414.

[13] [13] TAO Ran, MENG Xiang-yi, WANG Yue. Image encryption with multiorders of fractional Fourier transforms［J］. Information Forensics and Security, 2010, 5(4): 734-738.

[14] [14] MARTONE M. A multicarrier system based on the fractional Fourier transform for time-frequency-selective channels［J］. IEEE Transactions on Communications, 2001, 49(6): 1011-1020.