Towards simulating and quantifying the light-cone EoR 21-cm signal

Understand

The light-cone (LC) effect causes the Epoch of Reionization (EoR) 21-cm signal $T_{\rm b} (\hat{\bf{n}}, \nu)$ to evolve significantly along the line of sight (LoS) direction $\nu$.

• In the first part of this paper, we present a method to properly incorporate the LC effect in simulations of the EoR 21-cm signal that include peculiar velocities.
• Subsequently, we discuss how to quantify the second order statistics of the EoR 21-cm signal in the presence of the LC effect.
• We demonstrate that the 3D power spectrum $P({\bf{k}})$ fails to quantify the entire information because it assumes the signal to be ergodic and periodic, whereas the LC effect breaks these conditions along the LoS.