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I want LTSPICE or otherwise to put out a spice deck like netlist as shown in the photo inset and the video embedded below.
I have not yet found a way to get this type of output. All the output formats you can select for export in LTSPICE have the form:
RefDes1.Pin1, RefDes2.Pin1 …….
Which of course is suited to pcb layout programs but not what I am trying to do. See ExpressPCB Netlist format.
Notice the coefficients of the multiplied polynomials are equal to the signal output values at times 0 through 4.
If instead of using X as our variable we could use Z and we would see that all this is the Z transform. The following principle is true for the above signal and filter. It is true in general.
Signal convolved with Filter Transform of signal Transform of filter
Notice that the powers of X perform the function of place holding for location in time. They keep track of what we can tally and these tallies correspond in power of X to time. Time=4 corresponds to powers of 4 of X.