Table 1 Symbol definition

\(G_{i}^{k}\)

Channel gain between the ith FU of the femtocell network k

and MBS.

\(p_{i}^{k}\)

transmit power of the ith FU in the femtocell network k.

I _th

Maximum interference power that the MBS can tolerate.

\(\gamma _{i}^{k}\)

QoS requirement of the ith FU in kth femtocell.

\(h_{i}^{k}\)

Channel gain between ith FU-Tx and kth FBS.

\(h_{j}^{k}\)

Channel gain between jth FU-Tx and kth FBS.

\(g_{l}^{k}\)

Interference channel gain from the lth MU-Tx to the kth FBS.

p _l

Transmit power of the lth MU.

\(\sigma _{i}^{k}\)

Background noise received at each FBS.