Table 1 Summary of notations

l

Leader at the origin in the uplink

l _i

Leader i

m

Typical member in the downlink

m _i

Member i

m _c

Set of covered members

Φ _l

PPP of leaders

Φ _m

PPP of members

\(\Phi _{m_{c}}\)

Set of locations of covered members

h _x,y

Channel effect from x to y

λ _l

Intensity of leaders

λ _m

Intensity of members

P _l

Transmission power of leaders

P _m

Transmission power of members

α

Pathloss exponent

p _d,u

Downlink, uplink joint probability

p _u

Uplink coverage probability

p _d

Downlink coverage probability

T _d

Downlink threshold

T _u

Uplink threshold

p _a

Access control probability

r

Distance between m and its nearest leader

r _d,i

Distance between a leader i and a typical member

r _u,i

Distance between a member i and a typical leader

r _{d u,i}

Distance between a covered member i and a typical leader

r _tar

Target distance

\(\bar {r}_{max}\)

Average maximum distance between l and its m _c

I _l

Cumulative interference from the leaders

I _m

Cumulative interference from the members

\(I_{m_{c}}\)

Cumulative interference from the covered members

τ

Transmission probability (TP)

τ ^dyn

TP of the dynamic framed SA-AC

τ ^fix

TP of the fixed framed SA-AC

K

Frame size

K ^dyn

Frame size of the dynamic framed SA-AC

K ^fix

Frame size of the fixed framed SA-AC

S I R _d

SIR at a typical member in the downlink

S I R _u

SIR at a typical leader in the uplink

S I R _d,u

SIR at a typical leader in the joint DL/UL transmission

\(\bar {N}_{m}\)

Average number of the covered members per leader

E _ar

Average achievable rate of covered members