Data analysis of continuous gravitational wave: all-sky search and study of templates

We have studied the problem of an all-sky search in reference to a continuous gravitational wave particularly for such sources whose wave-form are known in advance. We have made an analysis of the number of templates required for matched-filter analysis as applicable to these sources. We have employed the concept of fitting factor (FF); treating the source location as the parameters of the signal manifold and have studied the matching of the signal with templates corresponding to different source locations. We have investigated the variation of FF with source location and have noticed a symmetry in template parameters,  θ_T  and  φ_T  . It has been found that the two different template values in source location, each in  θ_T  and  φ_T  , have the same FF. We have also computed the number of templates required assuming the noise power spectral density   S _n ( f )  to be flat. It is observed that higher FF requires an exponentially increasing, large number of templates.