b The cylindrical radial component of our preferred estimate of the flow inside Earth's core at the same epoch.
The altitude of the averaged value was taken as the average of altitudes of individual values in the bin recorded at the same epoch.
These smoothing algorithms require the use of carrier phase measurements at epoch (k) in order to smooth the pseudoranges at the same epoch (k).
We averaged data recorded at the same epoch (within 1 day) in each bin, which provided values at the same geographic location at different epochs and different altitudes.
Considering all used bins, the average scatter values between data values in the same bin recorded at the same epoch are 14.5, 5.9 and 3.8 nT for X, Y and Z components, respectively.
The altitudes of the values in the same bin recorded at the same epoch were found to be very close (with an average scatter value of less than 10 m) so that no altitude correction was necessary before averaging.
To test the effectiveness of this algorithm under the existence of large pseudorange errors, artificial cycle slips are also added to carrier phase measurements L1 and L2 at the same epoch.
