SCIENTIA SINICA Informationis, Volume 49 , Issue 10 : 1353-1368(2019) https://doi.org/10.1360/N112018-00330

## An online power-control algorithm for energy harvesting and secure transmission systems

• AcceptedApr 15, 2019
• PublishedOct 15, 2019
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### References

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• Figure 1

System model

• Figure 2

(Color online) Algorithm performance comparison

• Figure 3

(Color online) Battery power time track

• Figure 4

(Color online) Data queue backlog difference time track

• Figure 5

(Color online) Relationship between system performance and energy arrival rate. (a) Average security rate vs. energy arrival rate; (b) average battery power vs. energy arrival rate; (c) RMS value of data queue difference vs. energy arrival rate

• Figure 6

(Color online) The effect of $\delta~$ on system performance. (a) Average battery power vs. $\delta~$; (b) average security rate vs. $\delta~$; (c) RMS value of data queue difference vs. $\delta~$

• Figure 7

(Color online) Relationship between system performance and weight $U$ and $V$. (a) Average security rate vs. $U$ and $V$; (b) RMS value of data queue difference vs. $U$ and $V$

• Figure 8

(Color online) The influence of the upper and lower limits of weight on system performance. (a) Average security rate vs. ${{V}_{\max~}}$ and ${{V}_{\min~}}$; (b) RMS value of data queue difference vs. ${{V}_{\max~}}$ and ${{V}_{\min~}}$

•

Algorithm 1 Online power control algorithm based on Lyapunov

Set weights $V$ $(V\!\ge\!~0)$, $U$ $(U\!\ge\!~0)$, weight limits ${{V}_{\max~}}$, ${{V}_{\min~}}$, initial battery energy ${{E}_{\text{b}}}(0)$, and time-independent constant $\delta~$.

At time slot $t$:

1: Observe system status ${{E}_{\text{a}}}(t)$, ${{h}_{1}}(t)$, ${{h}_{2}}(t)$, ${{Q}_{1}}(t)$, ${{Q}_{2}}(t)$, and $X(t)$.

2: Observe channel states of two users:

(1) if $|~{{h}_{1}}(t)~|>|~{{h}_{2}}(t)~|$, send confidential information to destination node 1.

(i) if $X(t)\le~-\frac{\Delta~\gamma~(t)\tilde{V}(t)}{\ln~2\cdot~\Delta~t}$, the optimal transmission power is ${{P}^{\text{opt}}}(t)=0$.

(ii) if $-\frac{\Delta~\gamma~(t)\widetilde{V}(t)}{\ln~2\cdot~\Delta~t}<X(t)<0$, the optimal transmission power is text ${{P}^{\text{opt}}}(t)=\min~({{P}^{*}}(t),{{P}_{\max~}},\frac{{{E}_{\text{b}}}(t)}{\Delta~t})$, ${{P}^{\text{*}}}(t)$ in it can be obtained by Eq. (37).

(iii) if $X(t)\ge~0$, the optimal transmission power is ${{P}^{\text{opt}}}(t)=\min~({{P}_{\max~}},\frac{{{E}_{\text{b}}}(t)}{\Delta~t})$.

(2) if $|~{{h}_{1}}(t)~|<|~{{h}_{2}}(t)~|$, send confidential information to destination node 2.

(i) if $X(t)\le~-\frac{\Delta~\gamma~(t)\tilde{V}(t)}{\ln~2\cdot~\Delta~t}$, the optimal transmission power is ${{P}^{\text{opt}}}(t)=0$.

(ii) if $-\frac{\Delta~\gamma~(t)\tilde{V}(t)}{\ln~2\cdot~\Delta~t}<X(t)<0$, the optimal transmission power is text ${{P}^{\text{opt}}}(t)=\min~({{P}^{*}}(t),{{P}_{\max~}},\frac{{{E}_{\text{b}}}(t)}{\Delta~t})$, ${{P}^{\text{*}}}(t)$ in it can obtain by Eq. (39).

(iii) if $X(t)\ge~0$, the optimal transmission power is ${{P}^{\text{opt}}}(t)=\min~({{P}_{\max~}},\frac{{{E}_{\text{b}}}(t)}{\Delta~t})$. $\text{~}$3: Calculate the secrecy rate ${{R}_{\text{s}}}(t)$ according to Eq. (7)

3: Calculate the secrecy rate ${{R}_{\text{s}}}(t)$ according to Eq. (7)

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