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

Abstract

We have studied the problem of all sky search in reference to 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 {\it fitting factor} {\it (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, ${\theta }_T$ and ${\varphi }_T$. It has been found that the two different template values in source location, each in ${\theta }_T$ and ${\varphi }_T$, have same {\it 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 {\it FF} requires exponentially increasing large number of templates.

Accepted in MNRAS, 14 pages, 5 figures

References in corpus (10)

• Data analysis of gravitational-wave signals from spinning neutron stars. I. The signal and its detection
• Search templates for gravitational waves from inspiraling binaries: Choice of template spacing
• Matched filtering of gravitational waves from inspiraling compact binaries: Computational cost and template placement
• Searching for periodic sources with LIGO
• Searching for periodic sources with LIGO. II: Hierarchical searches
• Gravitational Wave Astronomy: in Anticipation of First Sources to be Detected
• Hierarchical search strategy for the detection of gravitational waves from coalescing binaries: Extension to post-Newtonian wave forms
• Data analysis of gravitational-wave signals from spinning neutron stars. III. Detection statistics and computational requirements
• Data analysis of continuous gravitational wave: Fourier transform-I
• Data analysis of continuous gravitational wave: Fourier transform-II

Cited by in corpus (4)

• Data analysis of continuous gravitational wave: Fourier transform-II
• Identifying and Mitigating Machine Learning Biases for the Gravitational Wave Detection Problem
• Matching of the continuous gravitational wave in an all sky search
• Earth azimuth effect in the bank of search templates for an all sky search of the continuous gravitational wave