In the rational fraction polynomial method [1] the identification of m
odal parameters is obtained through a direct linear least-square optim
ization technique but a particular form of fitting error is minimized.
An iterative algorithm has been recently developed which uses the tru
e fitting error [2]. In this paper a statistical analysis is developed
to estimate the bias effects on the identified parameters when the da
ta are polluted with noise. Both the direct and iterative procedures a
re considered. Numerical simulations are used to validate the results
predicted by the theoretical analysis, which shows that the iterative
approach is by far more efficient than the direct method.