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Signal Processing Main
Integrating a signal.
Four functions have been provided to integrate a signal. These all use the trapezium rule to perform the integration and all require two input arguments. The routines are described in the table below.
| Function | Description | Signal Types |
| JETINT_T(SIGNAL,TIME) | Integral of the signal with respect to the first axis (T). Only the total integral is returned. This is performed for each point in the second axis (X) when appropriate. | 2D,3D |
| JETINT_ALLT(SIGNAL,TIME) | Integral of the signal with respect to the first axis (T). The integral at each point is returned. This is performed for each point in the second axis (X) when appropriate. | 2D,3D |
| JETINT_X(SIGNAL,X) | Integral of the signal with respect to the second axis (X). Only the total integral is returned. This is performed for each point in the first axis (T). | 3D |
| JETINT_ALLX(SIGNAL,X) | Integral of the signal with respect to the second axis (X). The integral at each point is returned. This is performed for each point in the first axis (T). | 3D |
The routines work for signals of all axis types and also for multigraphs.
Example, for a signal defined as 'signal=cos(findgen(4,3))', 'time=findgen(4)+40' and 'x=findgen(3)/10+3' the following results are given
| Function | Result |
| JETINT_T(SIGNAL,TIME) | 0.129159 1.29396 -1.82074 |
| JETINT_ALLT(SIGNAL,TIME) | 0.00000 0.770151 0.832229 0.129159
0.00000 -0.184991 0.436926 1.29396
0.00000 -0.528315 -1.40342 -1.82074 |
| JETINT_X(SIGNAL,X) | -0.0226394 0.00982473 0.0332561 0.0261120 |
| JETINT_ALLX(SIGNAL,X) | 0.00000 0.00000 0.00000 0.00000
0.0173178 0.0411982 0.0272011 -0.0118045
-0.0226394 0.00982473 0.0332561 0.0261120 |
Note care must be taken when using the '_T' and '_X' functions to use the correct 'Time' axis for the result.
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JETDSP Signal Processing