Abstract In this paper we present a full-band Adaptive Harmonic Model (aHM) that is able to accurately reconstruct stationary and non stationary parts of speech. The model does not require any voiced/unvoiced decision, neither an accurate estimation of the pitch contour. Its robustness is based on the previously suggested adaptive Quasi-Harmonic model (aQHM), which provides a mechanism for frequency correction and adaptivity of its basis functions to the characteristics of the input signal. The suggested method overcomes limitations of the initial method based on aQHM in detecting frequency tracks over time, especially at mid and high frequencies, by employing a bandlimited iterative procedure for the re-estimation of the fundamental frequency. Listening tests show that reconstructed speech using aHM is mainly indistinguishable from the original signal, outperforming standard sinusoidal models (SM) and the aQHMbased method, while it uses less parameters for the reconstruction than SM.