Table 1 Evolution of the state for three receivers

Initial state

${\mathit{P}}_{\mathbf{1}}^{\mathbf{1}}$ received

${\mathit{P}}_{\mathbf{1}}^{\mathbf{2}}$ received

${\mathit{P}}_{\mathbf{1}}^{\mathbf{1}}+{\mathit{P}}_{\mathbf{1}}^{\mathbf{2}}$ received

by users 2, 3

by user 1

by users 1, 2

$\left(\begin{array}{lll}0& 0& 0\\ 0& 0& 0\\ 0& 0& 0\end{array}\right)$

$\left(\begin{array}{lll}0& 1& 1\\ 0& 0& 0\\ 0& 0& 0\end{array}\right)$

$\left(\begin{array}{lll}0& 1& 1\\ 1& 0& 0\\ 0& 0& 0\end{array}\right)$

$\left(\begin{array}{lll}0& 0& 0\\ 0& 0& 0\\ 0& 0& 0\end{array}\right)$

t +4

t +5

t +6

t +7

${\mathit{P}}_{\mathbf{2}}^{\mathbf{2}}$ received

${\mathit{P}}_{\mathbf{2}}^{\mathbf{2}}$ received

${\mathit{P}}_{\mathbf{1}}^{\mathbf{3}}$ received

${\mathit{P}}_{\mathbf{3}}^{\mathbf{2}}$ received

by user 3

by users 1,2

by users 1,2

by users 1,2

$\left(\begin{array}{lll}0& 0& 0\\ 0& 0& 1\\ 0& 0& 0\end{array}\right)$

$\left(\begin{array}{lll}0& 0& 0\\ 0& 0& 0\\ 0& 0& 0\end{array}\right)$

$\left(\begin{array}{lll}0& 0& 0\\ 0& 0& 0\\ 1& 1& 0\end{array}\right)$

$\left(\begin{array}{lll}0& 0& 0\\ 0& 0& 0\\ 1& 1& 0\end{array}\right)$