A Structure Function Representation Theorem with Applications to Frequency Stability Estimation

Charles A. Greenhall
1983 IEEE Transactions on Instrumentation and Measurement  
Random pmcesses with statiorqv nth d$'jkences stwe as models for osciuatorphase mike. The theorem proved here allows one to obtain the structure function (comriances of the nth diffmnces) of such a process m terms of the differens of a single fslnctdon of one time VmFirhle. In turn. this function cun easily be obtained from the spectral d e d y of the pr0ces.x m e rheorem is used for computing the viuiunce of two estimators of frequency stabdify.
doi:10.1109/tim.1983.4315080 fatcat:36qs3ziqwrhsfjkxqlbjhjapvu