<h3>3.3. Orientation Computation Based on Driving System</h3>
+<p>The sensor data obtained from the driving system (gyroscope) given by (Gx, Gy, Gz)
+represents the calibrated angular rotation rate of the device in the 3-axes. Since
+the calibrated gyroscope data provides the rate of change of angle in each axis,
+the integration of the data acquired in each axis provides the orientation measure
+of the device. During integration of the gyroscope data the noise present in each
+instance of the measured data gets added up resulting in measured orientation
+affected by drift. First the measured gyroscope data is converted to a quaternion
+equivalent Qdriv [14, 15]. The initial value for the Qdriv is assigned based on the
+computed Qaid initial value (15). The quaternion differential which denotes the
+increment in rotation is computed by quaternion based multiplication [7, 9] of Qdriv
+with gyroscope sensor data as shown in (16). The symbol ⊙ denotes quaternion
+based multiplication in the following equations.</p>
+
<FIGURE>
<center>
<img src="./equation/equation_15.png" width="35%" height="3.5%">
</center>
</FIGURE>
+<p>Equation (17) represents the integration of the quaternion difference value with
+the driving system quaternion to yield the measured quaternion value for that time
+instant [1]. The value 'dt' represents the sampling interval for the gyroscope sensor
+and 'Π' denotes the mathematical constant and denotes the ratio of a circle's
+circumference to its diameter and is approximately equal to 3.14159. The driving
+system quaternion is then normalized as shown in equation (18).</p>
+
<FIGURE>
<center>
<img src="./equation/equation_17.png" width="35%" height="4%">