This investigation project consist in the emergence of a novel technique for continuous spectrum estimation based on a recursive approach in which the spectrum estimation will be continuously corrected implementing an Extended-Kalman Filter. In order to investigate a bond between the control theory and oceanography, enhancing and modernize the wave spectrum estimation. It was used the Extended-Kalman Filter (EKF) cyclical procedure, after had have analyzed the results. In this path was considered the stochastic behaviour of the ocean based on JONSWAP spectrum and also implementing a linearization to the model that allowed to obtain a narrow band spectra evaluating each frequency at the time on the basis of the contributing to reduce the complexity of the state-space model at the time, because it was used constant frequencies.