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&SIGNAL: CONVOLUTE-SIGNALS


TRANSFER-FUNCTION

The transfer function, which can be specified in either of two ways:

There is no default transfer function, but the transfer function is remembered from one call to the next.


ADD-ON-FUNCTION

Some transfer functions contain, in the time domain, a delta 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) + delta(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.]


RANGE

The range over which the transfer function is valid, beyond this range the transfer function is set to 0.

[By default, the range is set to [0, 1E10] microsec.]


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Formatted on 0100-08-24 at 22:37.