Convolution Example: A Simple
Filter
This example shows how a simple input signal can be filtered to alter its shape. In this example, the input signal is a square "boxcar" function:
Mathematically, this can be expressed in GoldSim as follows:
If(ETime < 5 days OR ETime > 10 days, 0, 1)
The Transfer function is also a square "boxcar" function, in which any impulse is delayed for 10 days, and then spread out evenly over 5 days:
Mathematically, this can be expressed in GoldSim as follows:
If(~Lag < 10 days OR ~Lag > 15 days, 0, 0.2)
This input signal and transfer function produce the following output signal:
Note that the output signal in this case has dimensions An output attribute for an element that defines the dimensionality (in terms of Length, Time and other fundamental dimensions) of the output. of time (since the input signal and the transfer function were defined as being dimensionless).