From Allan Variance to Phase Noise:A New Conversion Approach

作     者：张升康 王学运 王宏博 杨军 

作者机构：Beijing Institute of Radio Metrology and Measurement Beijing 100039 China National Key Laboratory of Metrology and Calibration Technology Beijing 100039 China 

出 版 物：《Journal of Measurement Science and Instrumentation》 (测试科学与仪器（英文版）)

年 卷 期：2011年第2卷第4期

页      面：358-363页

学科分类：11[军事学] 0810[工学-信息与通信工程] 1105[军事学-军队指挥学] 08[工学] 081002[工学-信号与信息处理] 110503[军事学-军事通信学] 

主　　题：oscillator instability Allan variance phasenoise Spectrum Density of Phase Fluctuation( SDPF ) regularization 

摘      要：A new mathematical method is proposed to convert the oscillator instability parameters from Allan variance to Spectrum Density(SD)of random phase fluctuations,which is the inversion of the classic transformation formula from SD to Allan *** to the fact that Allan variance does not always determine a unique SD function,power-law model of the SD of oscillator phase fluctuations is introduced to the translating algorithm and a constrained maximum likelihood solution is *** that the inversion is an ill-posed problem,a regularization method is brought forward in the *** results show that the converted SD of phase fluctuations from Allan variance parameters agrees well with the real SD ***,the effects of the selected regularization factors and the input Allan variances are analyzed in detail.