Skip to main content

Table 3 Averaged optimal set \(\left \{\text {E}\{{x^{o}_{r}}\}, \text {E}\{{y^{o}_{r}}\}, \text {E}\{{P^{o}_{1}}\}, \text {E}\{{P^{o}_{2}}\}\right \}\) for in-body transmissions

From: Joint optimal relay location and power allocation for ultra-wideband-based wireless body area networks

In-body scenario with d r =5 cm and d SD =0 . 2 m

\(\text {E}\{{x^{o}_{r}}\}\)

0.033

0.033

0.033

0.033

0.038

0.055

\(\text {E}\{{y^{o}_{r}}\} \)

0

0

0

0

0

0

\(\text {E}\{{P^{o}_{1}}\}\)

0.28 P s

0.28 P s

0.28 P s

0.28 P s

\(P_{s}-P^{o}_{\text {max}}\)

\(P_{s}-P^{o}_{\text {max}}\)

\(\text {E}\{{P^{o}_{2}}\}\)

0.72 P s

0.72 P s

0.72 P s

0.72 P s

\(P^{o}_{\text {max}}\)

\(P^{o}_{\text {max}}\)

In-body scenario with d r =5 cm and d SD =0 . 3 m

P s

−10 dBm

−6 dBm

−2 dBm

2 dBm

6 dBm

10 dBm

\(\text {E}\{{x^{o}_{r}}\}\)

0.038

0.038

0.038

0.038

0.050

0.67

\(\text {E}\{{y^{o}_{r}}\} \)

0

0

0

0

0

0

\(\text {E}\{{P^{o}_{1}}\}\)

0.18 P s

0.18 P s

0.18 P s

0.18 P s

\(P_{s}-P^{o}_{\text {max}}\)

\(P_{s}-P^{o}_{\text {max}}\)

\(\text {E}\{{P^{o}_{2}}\}\)

0.82 P s

0.82 P s

0.82 P s

0.82 P s

\(P^{o}_{\text {max}}\)

\(P^{o}_{\text {max}}\)