基于二元树复小波变换的多载波调制系统

Multicarrier Modulation Based on Dual-tree Complex Wavelet Transform

通过对复小波变换理论深入研究，提出了一种新的多载波调制系统，称之为二元树复小波变换正交复用多载波调制系统（ODTCWDM）。该系统用二元树复小波变换（DTCWT）取代OFDM中的DFr变换，能够使得运算更加简单、灵活。该系统通过高斯信道和瑞利衰落信道对其误比特率（BER）进行详细的分析及系统仿真，结果表明ODTCWDM在高斯信道和瑞利衰落信道下性能优于传统的正交频分复用（OFDM）系统以及正交波分复用（OWDM）系统；尤其对于高斯信道，误码率能够降低4～7dB。

With the research of complex wavelet, a new muhicarrier modulation is presented based on complex wavelet transform called Orthogonal Dual-Tree Complex Wavelet Division Multiplex （ODTCWDM）. An alternative is offered by the system to DFT called Dual-Tree Complex Wavelet Transform to have a lower computational complexity and increased flexibility. The simulation results show that the system outperforms Orthogonal Frequency Division Multiplex system and Orthogonal Wavelet Division Multiplex in fading channels and in Gauss channels. The BER of Orthogonal Complex Wavelet Division Multiplex system could reduce 4 -7 dB compared with others.