## 3 Proposed Quality of Service Routing Protocol (QoSRP) in UWSNs
### Underwater Acoustic Channel Detection (UWCD) Algorithm
#### 3.2.1 Decision Rules for the Fused Information in Distributed Cooperative Sensing (DCoS)
\begin{table}
\begin{tabular}{c l} \hline \hline
**Notation** & **Description** \\ \hline \(\mathcal{C}_{u}\) & is the utilization of a channel \(\mathcal{C}_{i}\) in UWSNs \\ \(\mathcal{T}_{\rho}\) & is the transmission power of a channel \(\mathcal{C}_{i}\) in UWSNs \\ \(\mathcal{I}_{n\varepsilon\mathcal{f}}\) & is the interference in UWSNs \\ \(\mathcal{P}_{\sigma\varepsilon}\) & is the packet error rate in UWSNs \\ \(\mathcal{C}_{\ell}\) & is the channel management cost \\ \(\mathcal{P}_{\rho(m.a.x)}(\mathcal{C}_{i})\) & is the maximum transmission power for a channel \(\mathcal{C}_{\ell}\) in UWSNs \\ \(\mathcal{T}_{\rho(m.\varepsilon)}(\mathcal{C}_{\ell})\) & is the minimum transmission power for a channel \(\mathcal{C}_{\ell}\) in UWSNs \\ \(\mathcal{P}_{\rho(\mathcal{M}\varepsilon)}(\mathcal{H}_{\ell}\varepsilon\delta \delta\delta)\) & is the threshold value for transmission powerin UWSNs \\ \(\mathcal{G}_{\mathcal{SU}_{f}}(\mathcal{G}_{\mathcal{SU}_{f}},\mathcal{P}_{S_{f}})\) & is the gain for a channel \(\mathcal{C}_{\ell}\) from \(\mathcal{SU}_{f}\) to \(\mathcal{PS}_{\mathcal{L}}\) in the network \\ \(\mathcal{R}_{\mathcal{M}\varepsilon\mathcal{U}}(\mathcal{SU}_{f})\) & Is the interference range of a secondary user \(\mathcal{SU}_{f}\) in the network \\ \(\mathcal{P}_{\ell eds}(\mathcal{A}_{max})\) & is the path loss over a maximum distance between a transmitter and receiver (i.e., coverage radius) \\ \(\mathcal{P}_{\ell eds}(\mathcal{A})\) & is the total path loss at a distance \(d\) from the transmitter measured using log-normal shadowing model \\ \(\mathcal{B}_{\mathcal{I}_{n\varepsilon\mathcal{f}}\ \rho((m.a.x))}(\mathcal{C}_{i})\) & is the maximum background interference power at the receiver over a channel \(\mathcal{C}_{i}\) in the network \\ \(\mathcal{I}_{n\varepsilon\mathcal{f}}(\mathcal{e}\mathcal{e}\mathcal{n})\) & is the interference constraint in the UWSNs \\ \(\mathcal{T}_{\delta_{\rho}}(\mathcal{C}_{i})\) & is the throughput of a channel \(i\) in the network \\ \(\mathcal{G}\) & is the constant factors with a value less than 1 and greater than 0 \\ \(\mathcal{U}_{\ell}\) & is the utility function with maximum value 1 \\ \(\mathcal{N}_{o}\) & is the noise factor with maximum value 1 and minimum value 0 \\ \(\mathcal{PS}_{\mathcal{L}}^{a(\ell)}\) & is the number of channels stored by a \(\mathcal{PU}_{\ell}\) or \(\mathcal{SU}_{f}\) in time \(\tau_{i}\) with decreasing priority \\  & in the channel table \\ \(p_{\mathcal{L}\text{equalities}}^{\mathcal{C}_{i}}(\mathcal{SU}_{f})\) & is the probability of a secondary user \(\mathcal{L}\) for the channel \(\mathcal{C}_{\ell}\) in the network \\ \(\rho_{\mathcal{U}_{\tau e-n\omega\mathcal{f}}}^{\mathcal{C}_{i}}(\mathcal{PU}_{ \ell})\) & is on and off the probability of a primary user \(\mathcal{L}\) on a channel \(\mathcal{C}_{\ell}\) in the network \\ \(\rho\ \mathcal{SU}_{f}(\mathcal{C}_{i})\) & is the collision probability \(\rho\) of a secondary user \(\mathcal{L}\) for the channel \(\mathcal{C}_{\ell}\) in the network \\ \(\rho\ \mathcal{PU}_{\ell}(\mathcal{C}_{i})\) & is the collision probability \(\rho\) of a primary user \(\mathcal{L}\) for the channel \(\mathcal{C}_{\ell}\) in the network \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Notations used in QoSRP. signal.