Estimation of frequencies of vibration using lattices

A collapsed version of the lattice form recursive linear least-squares algorithm (the vibration lattice, for short) has been derived for the unforced or white noise forcing case. Under these conditions, the vibration lattice is demonstrated to be as accurate as and quicker to converge than the usual lattice. Problems with extension of the vibration lattice to more general cases are discussed. Methods of adapting the usual lattice to forced vibration are suggested. The multiple-input, multiple-output inverse lattice is derived.