Various types of interference signals limit the practi-cal application of transform domain communication systems(TDCSs)in the severe electromagnetic field,an orthogonal basis learning method of transformation analysis(OBL-TA)is pro-posed to effectively address the problem of obtaining an opti-mal transform domain based on sparse representation.Then,the sparse availability is utilized to obtain the optimal transformation analysis by the iterative methods,which yields the sparse repre-sentation for transform domain(SRTD)in unrestricted form.In addition,the iterative version of SRTD(I-SRTD)in unrestricted form is obtained by decomposing the SRTD problem into three sub-problems and each sub-problem is iteratively solved by learning the best orthogonal basis.Furthermore,orthogonal basis learning via cost function minimization process is con-ducted by stochastic descent,which is assured to converge to a local minimum at least.Finally,the optimal transformation analy-sis is developed by the effectiveness of different transform domains according to the accuracy of the sparse representation and an optimal transformation analysis separately(OPTAS)is applied to the synthesized signal forms with conic alternatives,dualization,and smoothing.Simulation results demonstrate that the superiorities of the proposed methods achieve the optimal recovery and separation more rapidly and accurately than con-ventional methods.

WANG Guisheng;WANG Yequn;DONG Shufu;HUANG Guoce

Information and Navigation College,Air Force Engineering University,Xi'an 710077,China;National Key Laboratory of Airspace Technology Beijing 100192,China;The 30th Research Institute of China Electronics Technology Corporation,Chengdu 610054,China

系统工程与电子技术（英文版）

[1]WANG Guisheng;WANG Yequn;DONG Shufu;HUANG Guoce-.Multiple transformation analysis for interference separation in TDCS)[J].系统工程与电子技术（英文版）,2022(05):1064-1078

TDCSs,SRTD,OPTAS,dualization

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