The F-statistic and its implementation in ComputeFstatistic_v2

Document #:

LIGO-T0900149-v6

Document type:

T - Technical notes

Abstract:

These notes represent a somewhat high-level documentation of ComputeFstatistic_v2, starting from the derivation of the F-statistic, down to expressions that very closely resemble what is actually implemented in the code.

Files in Document:

• CFSv2-T0900149-v6.pdf (380.1 kB)

Topics:

• Continuous Wave

Author Groups:

• LSC

Keywords:

continuous-waves F-statistic

Notes and Changes:

*) fixed incorrect sky-averaged antenna-pattern expressions for averaged-SNR^2 terms

*) extended antenna-pattern expressions for RAA approximation (extending long-wavelength limit)

https://gitlab.aei.uni-hannover.de/repr-public/ComputeFstatistic-notes