Extensive studies of the quadrupole-moment gravitational radiation under the assumption of 'weak stress', 'slow motion' and 'non-self-gravity' have been made. However, by taking into account of the self-gravity, internal stress and internal motion of the source and making relevant assumptions, we obtain the post-Newtonian multipole 'wobble' radiation formula by means of the general multipole-moment radiation formula put forward by Epstein and Wagoner. Furthermore, we use our formula to calculate the Crab pulsar (PSR 0531 + 21), the Vela pulsar (PSR 0833 - 45), and obtain the power to be 1.8 ti...
