Chen-Mobius voice communication system

Abstract

The result of cycle quadratic function waveform Chen-Mobius transformation is applied to voice communication system. We compute the two classes of mutually orthogonal sets of functions, then we took them as a new type of modulation and demodulation function, and we found itself these two functions are orthogonal, but the function groups to which they belong are not orthogonal. A new voice communication system is constituted by them. In this paper, we use cycle quadratic function waveform to modulate and demodulate the voice communication systems, and the system was simulated by use matlab platform. We made the corresponding tables, in which there are effects of different periods demodulation signal for the voice communication system. And the calculated results were compared. Chen-Mobius voice signal to the system is a useful complement, and it complements modulation and demodulation function group too. A famous scholar, now Chinese Academy of Sciences, Tsinghua University, professor Chen Nanxian uses infinite series Mobius inversion formula to solve a number of important applications of inverse problems in physics. This kind of work in 1990 got the whole version in famous NATURE magazine, it also got special assessment and highly valued. Su Wuxun, Zhang Weibin of Huaqiao University Professor put the method of Mobius transformation into several common waveform(periodic rectangular pulse,parity symmetry square wave and triangular wave) inverse Fourier transform operation Series, got expansions of Sine function, cosine function and various common signal waveforms, they obtained function family that is orthogonal to function family of various common waveform signal, last used them to calculate the various coefficient of expansion and demodulate the information. Then they applied them to the communication system, proposed a new communication system. That is the new Chen-Mobius communication systems. This paper is an extension of signal modulation and demodulation, we added quadratic function and makes Chen-Mobius system more perfect, and you can use more modem signal.