A class of consistent frequency‐wavenumber spectral estimators of the ambient noise field from the output of a totally randomn‐dimensional array is introduced. The performance of these spectral estimators is established. In particular, precise asymptotic expressions for the bias, variance, and covariance of the estimators are obtained together with exact rates of quadratic‐mean convergence. It is shown that the results hold for any positive value of the density of the number of sensors per unit volume and are thus valid even for sparse arrays. An application to a representative planar array is given.