  We discuss a method to analyze data from interferometric gravitational wave
detectors focusing on the technique of hierarchical search to detect
gravitational waves from inspiraling binaries. For this purpose, we propose new
coordinates to parameterize the template space. Using our new coordinates, we
develop several new techniques for two step search, which would reduce the
computation cost by large amount. These techniques become more important when
we need to implement a $\chi^2$-test as a detection criterion.
