Erratum for “Fast Bayesian FFT Method for Ambient Modal Identification with Separated Modes” by Siu-Kui Au

Eq. (62) should be corrected asThis can be readily verified by differentiating Eq. (59) with respect to $S$ and using the fact that $\partial {\gamma }_k/\partial S={\gamma }_k{S}^{-1}$. Dimension analysis also provides a quick check. This equation is used for evaluating $L_Q^{\left(SS\right)}$ via Eq. (71).

Eq. (80) should be corrected asThis can be verified by direct differentiation of Eq. (54) with respect to ${\sigma }^2$ and $\Phi$, and applying Eq. (83) for derivatives involving the Rayleigh quotient. Dimension analysis also provides a quick check.