An analytic study of the gravitational wave pulsar signal with spin down effects

Abstract

In this work, we present the analytic treatment of the Fourier Transform (FT) of the Gravitational Wave (GW) signal from a pulsar including spin down corrections in a parametrized model discussed by Brady et. al. The formalism lends itself to a development of the FT in terms of well known special functions and integrals defining the spin down moments.