M (o | ¡§) Bius Transform In The Digital Baseband Communication System Simulation

Recent years, the famous scholar of our country—the Professor Chen nanxian—applied the Mo|¨bius inversion formula in infinite series form to solve a series important inverse problems in applied physics,and get a lot of success.His works were highly evaluated by the top scientific magazine <>. Under the guidance of professor Chennanxian, professor suwuxun applied the methods of Mo|¨bius transform to the evaluations of the inverse transforms of the Fourier series of several often-used waveforms, and derived the expanded formula of the sine ,cosine and general periodic functions on various often-used waveforms; meanwhile we also derived the very important functions which are orthogonal to the corresponding waveforms. These can be applied to the new modulation-demodulation system. Based on these results,professor Suwuxun proposed several application.In this paper we applied the results to the digital base-band communication system design. We proposed a new system—the Chen-Mo|¨bius digital base-band communication system .In this system, the new coherent modulation-demodulation systems by two classes of the oblique-orthogonal function set as the modulation and demodulation set were applied to the digital baseband communication systems, and the system is simpler than the conventional system. This system was simulated by the MATLAB software on the computer and the results...