Gravitational waves (GWs) are one of the key predictions of Einstein’s theory of general relativity (GR). Scientists have been looking for evidence of GWs since their prediction by Einstein in 1916. The first direct detection was achieved by LIGO in 2015, 100 years after their prediction, from merging of two black holes in a binary into one. According to GR gravitational waves have two independent polarization states. In this paper, we study the power radiated and the strain of GW along the two polarization states from a compact binary system with its general orbital properties.