Tanaka-Tagoshi parametrization of post-first-post-Newtonian spin-free gravitational wave chirps: Equispaced and cardinal interpolated lattices for first generation interferometric antennas

The spin-free binary-inspiral parameter-space introduced by Tanaka and Tagoshi to construct a uniformly spaced lattice of post-first-post Newtonian (PN) templates is shown to work for all first generation interferometric gravitational wave antennas. This allows us to extend the minimum-redundant cardinal interpolation techniques of the correlator bank developed by the authors to the highest available order PN templates. The total number of templates to be computed for a minimal match Gamma = 0.97 is reduced by a factor 4, as in the I PN case.