Modeling gravitational wave signals from compact binaries

LIGO Scientific Collaboration plans to employ computationally efficient Inspiral-Merger-Ringdown waveform families to detect gravitational waves from compact binaries coalescing along quasi-eccentric orbits in the upcoming observational runs. Ready-to-use Fourier domain eccentric inspiral templates is a crucial ingredient while constructing such families. I present the on-going effort to compute amplitude corrected analytic Fourier domain gravitational waveforms that incorporates effects of periastron advance and gravitational wave emission. I will also report our nascent effort to distinguish neutron star-neutron star binaries from black hole-neutron star binaries from their inspiral gravitational waves.