Tomographic reconstruction method and application to MLDC data challenges 2.1

The figure below shows a schematic of the basic steps involved. Actual details are available in reference 1 above. A. The time series of a TDI variable (duration 1 year) is split into ∆ sec long segments (overlapping is optional). B. The FFT of each segment is arranged on a cone in a three dimensional space. This is the space of wave vectors corresponding to a particular choice of coordinates for representing the spatio-temporal signal density function. C. A three dimensional inverse FFT is applied to yield sky-maps: x and y are position coordinates on the sky and Ω is the source frequency. The quantity plotted as a function of position is, loosely speaking, the magnitude of the density function of monochromatic (in the barycenter frame) sources. D. Not shown in the figure above are steps that account for the rotating antenna pattern of LISA. There are several possible approaches here and one method has