Consider a random process X = {X:0
Posted: Thu Apr 28, 2022 7:11 am
Consider a random process X = {X:0 <t<1} with mean function ux(t) = 0.1 auto-correlation function Rx(s, t) = 1 + cos(27(8 - t)). (a) Specify a set of orthonormal functions that can be used for a KL expansion of X. (b) Find the expected values and the variances of the random variables (the Cns) in the KL expansion
Posted: Thu Apr 28, 2022 7:11 am
Consider a random process X = {X:0 <t<1} with mean function ux(t) = 0.1 auto-correlation function Rx(s, t) = 1 + cos(27(8 - t)). (a) Specify a set of orthonormal functions that can be used for a KL expansion of X. (b) Find the expected values and the variances of the random variables (the Cns) in the KL expansion