Research On Parameter Estimation Method Of Frequency Hopping Signal Based On Atomic Decomposition

Because of good anti-interference and low intercept probability,frequency hopping communication has been widely used in the field of secure communication,especially in the field of military communication.In the communication electronic countermeasure environment,the application of frequency hopping technology to short-wave communication can not only effectively overcome multipath interference,but also have a good inhibitory effect on adjacent interference and human-induced interference.Therefore,it has become the most effective measure to improve the anti-interference of communication.For the communication confrontation,how to quickly and effectively obtain the other's frequency hopping information is related to the trend of the war situation,which is crucial for the ultimate victory of the war.The frequency hopping signal in frequency hopping communication is a time-varying and non-stationary signal,which can be regarded as a linear combination of multiple small sinusoidal signals.In this paper,by using this feature of frequency hopping signals,the problem of blind estimation of parameters for unconventional frequency hopping signals is studied by improving the method of rectangular atomic construction.And based on the rectangular atomic decomposition algorithm,the effects of Gaussian noise and impulse noise on the blind estimation performance of conventional frequency hopping and unconventional frequency hopping signal parameters are studied.Firstly,based on the analysis of the research status of blind estimation of frequency hopping signal parameters at home and abroad,the representation of frequency hopping signals,and expounds the related theories of redundant time-frequency atom,matching pursuit algorithm and iterative stop condition of matching pursuit algorithm is described in this thesis.Then,the blind estimation algorithm of conventional frequency hopping signal parameters based on three-parameter and four-parameter Gabor atomic decomposition is studied respectively,and the simulation experiment analysis of conventional frequency hopping signals is carried out in Matlab environment.Then,in order to apply the atomic decomposition algorithm to the blind estimation field of parameters of unconventional frequency hopping signals,based on the analysis of the characteristics of unconventional frequency hopping signals,the rectangular atomic decomposition algorithm is applied to parameter blind estimation field for unconventional frequency hopping signals by improving the rectangular function.And in the Matlab environment,the simulation analysis of the blind estimation of conventional frequency hopping signals and unconventional frequency hopping signals are carried out.Finally,in the case of different SNR,the four-parameter rectangular atomic decomposition algorithm is used to study the parameters of the frequency hopping signals with Gaussian white noise and alpha stable distribution noise,and The effects of Gaussian white noise and impulse noise on the blind estimation performance of the frequency hopping signal parameters are analyzed by Matlab simulation experiments.The experimental results shown that compared with the Gabor atom and the rectangular atom before improvement,the improved three-parameter rectangular atom can not only accurately estimate the parameters of conventional frequency hopping signals,but also accurately estimate the parameters of unconventional frequency hopping signals.The parameter rectangular atom has higher precision and smaller relative error than the three-parameter rectangular atom.The experiment also shows that the four-parameter rectangular atomic decomposition algorithm can accurately estimate the relevant parameters of the frequency hopping signal for the frequency hopping signal with Gaussian white noise and impulse noise in the case of low SNR.