Adapting time-delay interferometry for LISA data in frequency

Time-delay interferometry (TDI) is a post-processing technique used to reduce laser noise in heterodyne interferometric measurements with unequal armlengths, situation characteristic of space gravitational detectors such as the Laser Interferometer Space Antenna (LISA). This consists properly time-shifting and linearly combining order by several orders magnitude detect waves. In this communication, we show that Doppler shift due time evolution armlengths leads an unacceptably large residual when using expressed units frequency standard expressions TDI variables. We also present mitigate effect including scaling addition usual operation constructing demonstrate analytically numerical simulations allows one recover suppression which necessary measure