Characterizing instrumental noise and stochastic gravitational wave signals from combined time-delay interferometry

LISA will detect gravitational waves (GWs) in the milli-Hz frequency band space. Time-delay interferometry (TDI) is developed to suppress laser noise beneath acceleration and optical metrology noise. To identify stochastic GW signals, it would be required characterize these components entangled TDI data streams. In this work, we investigate noises characterization by combining first-generation channels from Michelson Relay configurations. The are helpful lower band, configuration could effectively resolve path higher frequencies. Synergy achieved their combination determine instrumental noises. Based on characterized noises, further reconstruct power spectrum of selected channel. Two cases performed shape a signal. For modeled signal, its parameter(s) directly estimated data, recovered inferred values. And for an unexpected may recognized retrieved noise-subtracted residual which spectral density surpasses level.