\subsection{Barometer} If available, the Smartphone's barometer is used to infer the likeliness of the current $z$-location% % As ambient pressure readings are highly influenced by environmental conditions like the weather, time-of-day and others \cite{Muralidharan14-BPS}, we use relative pressure instead of absolute ones.% % Due to noisy sensors, more than one reading is used to estimate this relative base. The usual setup time of a navigation-system (route calculation, etc.) is used to average all barometer readings during this timeframe. This average $\overline{\mObsPressure}$ serves as relative base. Furthermore, we estimate the sensor's uncertainty $\sigma_\text{baro}$ for later use within the evaluation step.% % During each transition from $\mStateVec_{t-1}$ to $\mStateVec_t$, we need a corresponding, relative pressure prediction $\mStatePressure$ which is adjusted whenever a $z$-change happens within the transition. % % \begin{equation} % \mState_{t}^{\mStatePressure} = \mState_{t-1}^{\mStatePressure} + \Delta z \cdot b % ,\enskip % \Delta z = \mState_{t-1}^{z} - \mState_{t}^z % ,\enskip % b \in \R % \enspace . % \label{eq:baroTransition} % \end{equation}