'''Bayesian operational modal analysis (BAYOMA)''' adopts a [[Bayesian inference|Bayesian]] [[system identification]] approach for [[Operationaloperational Modalmodal Analysisanalysis]] (OMA). [[Operational Modalmodal Analysis]] (OMA)analysis aims at identifying the modal properties ([[natural frequency|natural frequencies]], [[damping ratio]]s, [[mode shape]]s, etc.) of a constructed structure using only its (output) vibration response (e.g., velocity, acceleration) measured under operating conditions. The (input) excitations to the structure are not measured but are assumed to be '[[Ambient vibrations|ambient]]' ('broadband random'). In a Bayesian context, the set of modal parameters are viewed as uncertain parameters or random variables whose probability distribution is updated from the prior distribution (before data) to the posterior distribution (after data). The peak(s) of the posterior distribution represents the most probable value(s) ('''MPV''') suggested by the data, while the spread of the distribution around the MPV reflects the remaining uncertainty of the parameters.
