NIST Technical Note 1337: Characterization of Clocks and Oscillators

SCM)4-M-R(O) - 4-M-R(r) - 2 oMoG(MT)M-l+ 2 I (M-n)[2 o G(nT) - G«M+n)T) - G«M-n)T)] 0n=1Following the work of Barnes and Allan [2,3], we can define the function U(r)by the relation,U(r) = 2 oR(O) - 2-R(r),and also defineF(nr) = G(nT)/U(r),where r = T/r_the form,The function U(r) for power-law power spectral densities hasU(r)which yieldsF(nr)Finally, the working relation can be written asB 3 (2,M,r,p)20M + M-F(Mr)M-l-I (M-n) [2 oF(nr) - F«M+n)r)n=1[2 + F(r)] 0MJL+2- F«M-n)r)]18TN-313