A Study of the Gravitational Wave Pulsar Signal with orbital and   spindown Effects
  In this work we present analytic and numerical treatments of the gravitational wave signal from a pulsar which includes spindown. We consider phase corrections to a received monochromatic signal due to rotational and elliptical orbital motion of the Earth, as well as perturbations due to Jupiter and the Moon. We discuss the Fourier transform of such a signal, which is expressed in terms of well known special functions and lends itself to a tractable numerical analysis. 
S. R. Valluri, K. M. Rao, P. Wiegert, F. A. Chishtie