M(o)bius变换在模拟通信中的应用与仿真

应用Mobius变换对各种常用数字信号的傅里叶级数进行逆变换运算，所得到的结果应用于模拟通信系统中，并提出一种新型的模拟通信系统Chen-Mobius模拟通信系统．在此新型通信系统中，应用数定信号的Chen-Mobius逆变换函数族作为调制波信号，将欲传送的模拟信号调制其上并进行传输；在接收端，用与调制波对应正交的数字信号进行同步相干解调，从而得到原始信号．计算机仿真表明，系统具有抗强噪声的优越性能．能在强噪声中很好地恢复原信号．

Application of M(o)bius Transformation to Analog Communication and Its Simulation

The inverse transform operation of Mobius on Fourier series of some often-used digital signals were used. The results were applied in the analog communication systems and a new analog communication system, the Chen-Mobius analog communication system, was presented. In this new system, the Chen-Mobius inverse transform function was served as the modulation waveforms, on which the analog signals wanted to transfer were modulated and transmitted. At the receiving end the received streams were synchronized and coherently demodulated by the often-used digital waveforms, and the original signals were obtained. Simulated results show that the new system has a potential on anti-intensity-noise and the original signals can be restored from intense noise.