The present work aims to propose a new technique for harmonic and inter-harmonic estimation using the rotational invariance technique (ESPRIT) associated with a filter bank used to split the input signal in sub-bands, named here as ESPRIT-FB. This approach aims to improve both the performance and the computational cost of the ESPRIT standalone. The performance and computational cost of the ESPRIT-FB were evaluated in simulations, showing that both were improved with respect to the standard ESPRIT.