Speech Signal Processing And Image Transmission Based On Chen-mobius Ransform

Since the Mobius Inversion formula was discovered in 1857,many scholars have used it to promote it.The most prominent result is the use of Mobius inversion formula derived Chen-mobius transformation.used the feature of Chen-mobius transform function and its original function are orthogonal to each other but the family of them are non-orthogonal to solve a series of important physics in the inverse problem,For example,the inverse problem of boson system,lattice specific heat inverse problem,lattice binding energy inverse problem,Fermi system inverse problem,blackbody inverse problem,material simulation calculation,Creating a clever method of solving the various inverse problems in physics by Mobius transformations in number theory.At the same time Chen-mobius transform is also applied to the signal processing,creating Chen-mobius new communication system.Chen-mobius communication system is that used mobius transformation to common signals' Fourier series and get the common signals' inverse transformation.We can see that the Chen-mobius transform function is orthogonal to the original signal,but the family of functions belongs to non-orthogonal,and the two functions are superior in the modulation and demodulation of the communication system.Chen-mobius transform is often used for simple signal transformation,under normal circumstances it is mainly used for general cosine signal and square wave signal.This paper attempts to make Chen-mobius more general and more specific,Chen-mobius transformation of the special signal to be derived,then get some useful value of conclusions,and take these resultsinto the voice signal processing and picture transmission.This article mainly completed three aspects of the work.Firstly,the derivation of Chen-mobius transform of two special signals(quadratic function periodic waveform and quadratic function sawtooth waveform)is carried out.Then,the derivation result is applied to the process of speech signal processing and picture transmission.proved those process is Secure and stable.Secondly,Chen-mobius transform of quadratic function periodic waveform and quadratic function sawtooth waveform is used in the nesting process of speech signal and picture transmission,and it is found that it ismore adaptive than non-nested system.Finally,the waveforms and parameters of the signal processing are analyzed.The results show that Chen-mobius is feasible and superior in speech signal processing and picture transmission.