&SIGNAL: CONVOLUTE-SIGNALS
The transfer function, which can be specified in either of
two ways:
- As a function that depends on the time T, in \μsec.
- As a set of two matrices separated by the word 'VS',
the first is the values of the transfer function for
the times listed in the second matrix.
There is no default transfer function, but the transfer
function is remembered from one call to the next.
Some transfer functions contain, in the time domain, a \δ-distribution term.
This is for instance the case of pole/zero filters which have as transfer functions
(modulo overall constant factors):
s + 1/t1
F(s) = -------- , F(t) = (1/t1 - 1/t2) * exp(-t/t2) + \δ(t)
s + 1/t2
To simulate such a filter, one would convolute with exp(-t/t2)
and add the original signal on top.
The function to be added is allowed to be a function of the time,
written as T, and of the signal, written as SIGNAL. In the case
of the example, one would therefore type
convolute transfer-function 0.2*exp(-t/0.012) add signal
[By default, no function is added.]
The range over which the transfer function is valid, beyond this
range the transfer function is set to 0.
[By default, the range extends from 0 to 10\<SUP\>10\</SUP\>\ \μsec.]
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Formatted on 21/01/18 at 16:55.