Table 1 Average GDoF gain per subchannel
From: Joint coding in parallel symmetric interference channels with deterministic model
\(\Delta \overline d(\alpha _{1},\alpha _{2}) \) | α 2∈(1,2) | α 2∈(2,+∞) |
|---|---|---|
\({\alpha _{1}}\in (0,\frac {1}{2})\) | \({\frac {\alpha _{1}\alpha _{2}}{2(\alpha _{1}+\alpha _{2})}}\in (0,\frac {1}{5})\) | \(\frac {{({\alpha _{2}} - 1){\alpha _{1}}}}{{{\alpha _{2}} + {\alpha _{1}}}} \in (0,\frac {1}{2})\) |
\({\alpha _{1}} \in (\frac {1}{2},\frac {2}{3})\) | \(\frac {{2{\alpha _{2}} - 3{\alpha _{1}}{\alpha _{2}}}}{{2{\alpha _{1}} + 2{\alpha _{2}}}} \in (0,\frac {1}{5})\) | \(\frac {{{\alpha _{2}} - {\alpha _{2}}{\alpha _{1}} - {\alpha _{1}}}}{{{\alpha _{2}} + {\alpha _{1}}}} \in (0,\frac {1}{2})\) |
\({\alpha _{1}} \in (\frac {2}{3},1)\) | 0 | \(\frac {{{\alpha _{1}}({\alpha _{2}} - 2)}}{{2({\alpha _{2}} + {\alpha _{1}})}} \in (0,\frac {1}{2})\) |
α 1∈(1,2) | – | \(\frac {{{\alpha _{1}}(2{\alpha _{2}} - {\alpha _{1}}{\alpha _{2}} - 2{\alpha _{1}})}}{{2({\alpha _{2}} + {\alpha _{1}})}} \in (- \frac {4}{3},\frac {1}{2})^{*}\) |