Sample

96e72976-c0c3-4986-8d2c-93d8aaf6e709 8 7 10 false true 0 decimal

&[DATE] &[TIME] - &[FILENAME]

Defining function F(s)

s F 1 s + s 2^+ 1 s + (12 s 2^* + (* / :

Using maple plugin solve function. This requires installation of maple plugin. Could also use maxima solve. the built-in SMath symbolic engine solver is not mature enough to work for this example.

z z F z solve maple : 1 - i 3 sqrt * + 2 / 1 i 3 sqrt * + 2 / - 21 mat

symbolic evaluation "ctrl + ."

p 1 p F / p solve maple : 1 - i 2 sqrt / i 2 sqrt / - 31 mat

symbolic evaluation "ctrl + ."

Will use Maxima Draw2D to create plots. Could also use another plotting solution e.g, X-Y plot, ZedGraph, Smath Plot2d.

plotz z Re z Im augment (: 0.5 - 0.8660254 0.5 - 0.8660254 - 22 mat

plotp p Re p Im augment : 1 - 00 0.7071068 0 0.7071068 - 32 mat

PZPlot xaxis true ≡ xaxis_type solid ≡ xrange 1 - 121 sys ≡ yaxis true ≡ yaxis_type solid ≡ yrange 1 - 121 sys ≡ color blue ≡ point_type 6 ≡ points_joined false ≡ plotz points color red ≡ point_type 2 ≡ plotp points title Pole Zero Plot ≡ xlabel Real Axis ≡ ylabel Imaginary Axis ≡ 161 sys :

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terminal=pngcairo file_name="C:/Program Files (x86)/SMath Studio/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/GnuPlot/ch553ifp" dimensions=[337,307] font="Arial" font_size=8 xu_grid=40 yv_grid=40 xlabel="x" ylabel="y" zlabel="z" yrange=[-4.96,5.04] zrange=[-5,5] "set term pngcairo font ',8' enhanced size 337, 307" "set encoding utf8" plot2D SAMPLE PLOT Sample Disable Default 4095 8 Default Arial Custom 5 Custom [blue,red,green] 40 40 Custom 337 307 Interactive C:/Program Files (x86)/SMath Studio/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/GnuPlot/ch553ifp png Disable x y z Default Default Default -5 5 -4.96 5.04 -5 5 Disable Interactive Interactive Disable Disable Disable Disable Disable Disable 10 10 10 60 60 1 1 Interactive Disable MouseX1 MouseY1 MouseW1 Disable Azimuth1 Zenith1 Disable MinX1 MaxX1 Disable MinY1 MaxY1 Disable MinZ1 MaxZ1 PZPlot

ω 02 π * (0.05 range : 0 0.05 21 mat

gain 20 i ω * F abs log10 * vectorize : 0 0.02185083 21 mat

phase i ω * F arg vectorize :

gainplot ω gain augment :

phaseplot ω phase augment :

bode xrange 0221 sys ≡ xlabel ω ≡ yrange 25 - 6021 sys ≡ ylabel gain ≡ point_type 0 ≡ points_joined true ≡ key gain (dB) ≡ gainplot points color red ≡ key phase ≡ yaxis_secondary true ≡ ylabel_secondary phase (degrees) ≡ ytics_secondary auto ≡ yrange_secondary 3 - 121 sys ≡ phaseplot points title Bode Plot ≡ 161 sys :

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