This method consists of using several observation equations on the observations data and subsequently adjusting the result with the least squares method of the result. See the Least Squares section for more detailed information.
Each observation between traverse stations can generate several equations, depending on their data. If planimetric adjustment has been selected, a distance equation (as long as it is not null) and an azimuth equation (as long as the horizontal angle is not null) are created. If height adjustment is used, a vertical equation or slope equation is created (as long as the distance and vertical angle are not null). Lastly, an angle equation is created for all intermediate stations that helps to enhance the system’s accuracy.
Each equation involves coefficients that depend on the specific observation values. These are assigned to the system coefficient matrix. Likewise, each equation has an independent term, which depends on the residual or the difference between the observed and calculated values. These values are stored in an independent term vector.
Additionally, in order to consider the effect of each observation on the system, a weighting matrix is created. Each observation has a weighting factor that depends on the each observation’s standard deviation, or the a priori error. These in turn depend on the characteristics of the equipment used, as set in the configuration.
The matrix equation is:
where:
X =Coordinate increments vector
A = Coefficient matrix
P = Weighting matrix
K = Independent term matrix
Once these matrices have been built, the calculation process for each increment in mobile station coordinates can begin. This ends when the system converges and the coordinates become definitive.
It is important to set the configuration values for the convergence and the maximum number of iterations correctly. Consult the Customization Manual for further details.
TcpMDT
