In this paper solutions aiming at achieving a Phasor Measurement Unit that is simultaneously compliant with both M and P classes of the standard IEEE C37.118.1, for synchrophasor estimation at a fixed reporting rate, are presented. In particular, a new version of the Taylor-Fourier Transform (TFT) based adaptive algorithm previously proposed by the authors is used for synchrophasor estimation, while frequency and Rate of Change of Frequency (ROCOF) are estimated using the higher derivatives outputs of the adaptive TFT. Frequency estimation feedback is used to tune the algorithm and achieve better performance. The proposed approaches are validated by means of simulations in all the static and dynamic conditions defined in the Standard.