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Polyreference Frequency-Domain Least-Squares Estimation with Confidence Intervals 

The PolyMAX estimator is used intensively in modal analysis applications nowadays. The main advantages are its
speed and the very clear stabilization diagrams it yields. Recently, an algorithm allowing a fast calculation of confidence intervals has been derived for frequency-domain least-squares estimators based on a common-denominator model. In this contribution, the approach is extended to the PolyMAX estimator, i.e. a polyreference frequency-domain least-squares estimator, based on a right matrix-fraction description. If the coherences of the measured frequency response functions (FRFs) are available, the covariance matrix of the estimated model parameters can be obtained without major additional calculations. The confidence intervals can then be calculated in a second step. The correctness of the approach is verified by means of Monte Carlo simulations.

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