Why is the received signal=information+RF signal+noise,not just information+noise? In this paper: https://www.researchgate.net/publication/325008791_Beamforming_Design_for_Max-Min_Fair_SWIPT_in_Green_Cloud-RAN_with_Wireless_Fronthaul

Here is its system model



In this model,it said the received signal in each DR is

$y_k=\mathbf h_k^H \mathbf w_k s_k^D+\sum\limits_{i=1,i \neq k}^{K}\mathbf h_k^H \mathbf w_i s_i^D+\sum\limits_{j=1}^{J}\mathbf h_k^H \mathbf v_j s_j^E+n_k$, Notice that due to the energy symbol $s^E_j$ is randomly generated, which carries no information but only satisﬁes the RF regulations;$s_k^D$ is data symbol for DR k .

Honestly,i don't understand about $s^E_j$,i mean i know the received signal of DR1,

$y_{DR1}=$(signal from RRH1) + (signal from RRH2 and RRH3,etc)+(noise),that is

$y_k=\mathbf h_k^H \mathbf w_k s_k^D+\sum\limits_{i=1,i \neq k}^{K}\mathbf h_k^H \mathbf w_i s_i^D+n_k$

but i don't know where does  $\sum\limits_{j=1}^{J}\mathbf h_k^H \mathbf v_j s_j^E$ come from

I have a thinking before,the signal RRH transmit is information+RF signal,that is $s_k^D+s_j^E$,but in the other paper,they will only mention the $s_k^D$,like this paper: https://arxiv.org/pdf/1805.08898.pdf ,it just said $y_k=\mathbf h_k^H \sum\limits_{j=1}^K \mathbf f_j s_j+n_{a_k}$,so does anyone know about what the $s_j^E$ is?
Well, it seems the authors assume a setup where there are separate data receivers (DR) and energy receivers (ER) ("To achieve a balanced user experience for separately located datareceivers (DRs) and energy receivers (ERs) in the network, joint transmit beamforming vectors are optimized [...]"). In that setup, $s_k^E$ would be symbols that are used for sending energy to the ERs whereas $s_k^D$ are data symbols for the DRs.

Therefore, if you are a DR and want to receive data, you care about two types of interferences: data symbols for other DRs and energy symbols for the ERs. Note that you didn't copy equation (1) exactly: the second term should be $s_i^D$ (data symbol interference). Then you have the third term with interference of energy symbols for the ERs and the fourth term for the noise.

As an ER, you wouldn't care about interference, it's actually additional power, if you like.

Other papers use other models where one node may want to receive data and harvest energy at the same time. As they say: "all models are wrong, but some are useful..."