Generate a (possibly discontinuous) signal by linear interpolation in a table
This block generates an output signal by linear interpolation in a table. The time points and function values are stored in a matrix table[i,j], where the first column table[:,1] contains the time points and the second column contains the data to be interpolated. The table interpolation has the following proporties:
- The time points need to be monotonically increasing.
- Discontinuities are allowed, by providing the same time point twice in the table.
- Values outside of the table range, are computed by extrapolation through the last or first two points of the table.
- If the table has only one row, no interpolation is performed and the function value is just returned independantly of the actual time instant.
- Via parameters startTime and offset the curve defined by the table can be shifted both in time and in the ordinate value.
- The table is implemented in a numerically sound way by generating time events at interval boundaries, in order to not integrate over a discontinuous or not differentiable points.
table = [0 0 1 0 1 1 2 4 3 9 4 16] If, e.g., time = 1.0, the output y = 0.0 (before event), 1.0 (after event) e.g., time = 1.5, the output y = 2.5, e.g., time = 2.0, the output y = 4.0, e.g., time = 5.0, the output y = 23.0 (i.e. extrapolation).
|y||RealOutput||Connector of Real output signal|
|table||Real||Table matrix (time = first column; e.g. table=[0, 0; 1, 1; 2, 4])|
|offset||Real||0||Offset of output signal|
|startTime||Time||0||Output = offset for time < startTime|