  One of the most important sources for future space-borne gravitational wave
detectors such as TianQin and LISA is EMRI. It happens when a stellar orgin
compact object orbiting around a massive black hole(MBH) in the center of
galaxies and has many benefits in the study of astrophysics and fundamental
theories. One of the most important objectives is to test the no-hair theorem
by measuring the quadrupole moment of the MBH. This requires us to estimate the
parameters of an EMRI system accurately enough, which means we also need an
accurate waveform templet for this process. Based on the fast and fiducial
augmented analytic kludge (AAK) waveform for the standard Kerr black hole, we
develop a waveform model for a metric with non-Kerr quadrupole moment. We also
analyze the accuracy of parameter estimation for different sources and
detectors.
