SIM10 tables as embedded spreadsheets

Interactive version of tables 1 through 4 in the SIM10 post, plus an implementation of equations (i) through (iv) in tables 5 through 7. Compare tables 5 through 7 with changing the sample period (Ts) via the method in post SIM6 (they look to be the same ... if you make Ts equal in both that is).

I put this up as a separate page because when I tried adding this embedded spreadsheet to SIM10 I kept having problems with some script stopping on the page and momentarily halting my web browser. I don't know why, but I suspected moving it to a separate page would solve the problem, which seems to be the case (for me anyway).

The main point of this page is the set of spreadsheet tables. The transfer function related items (magnitude and phase response plots (Bode plots), impulse response plots, pole-zero plots (and associated tables near the end)), are "nice-to-knows" about SIMc (the continuous time version of SIM discussed in the SIM10 post) maybe, but aren't directly related to the bulk of SIM10. BTW, in the impulse response plot, the upward pointing arrows represent scaled δ(t) (Dirac delta functions), which are a component of the impulse responses of y(t), τ(t), yD(t) and c(t) [but not H(t)]). The impulse response of course is the time-domain output to a unit scaled Dirac delta input function, i.e. the response of the system when g(t) = δ(t). δ(t) of course is zero for all t ≠ 0, yet it still has unit area under it (thus those arrows are really "infinitely high": their height in the plot indicates the area under them).

[To do: a description of what's going on with the poles and zeros and transfer function frequency responses, and also show impulse responses, and perhaps the results of a simple proportional feedback system]

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