7bd36444-d8c0-4129-90ce-f4c138d3085d 5 15 12 decimal

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

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

Z_InverseTransform over translucent background

data char size clr plot k 1 data rows range r3 k el char : r4 k el size : r5 k el clr : 13 mat for data r3 r4 r5 augment 21 line :

3 appVersion 0.98.6179 ≡

x c 11 x ≤ (x 16 ≤ (& cases :

x ch 10 x ≤ (x 16 ≤ (& cases :

n 116 range :

r 2 :

Experiment [0.125, 0.25, 0.5, 0.625, 0.75] α 0.5 :

z H z α + z 2^z - α + / :

H(z) impulse perturbation
Y(z) algo input to  ... Inv(n,Y) z Y z α + z 2^z - α + / (z z 1 - / (* :

0 H 1

The inverse Z_transform in the discrete domain n Y Inv r n^2 π * / r i θ * exp * Y n θ * i * exp * θ 02 π * int * :

j 1 n rows range y j el n j el Y Inv : for

R n y abs vectorize augment : Z R . 14 red plot : 21 sys

1/1 sanity Mathcad source code

x H x ch * Z 2 1 sys

Z_system for inverse transform

x H x Y x c * 2 1 sys

R 112 2.5 3 3.5 4 3.75 5 3.5 6 3.125 7 2.875 8 2.813 9 2.875 10 2.969 11 3.031 12 3.047 13 3.031 14 3.008 15 2.992 16 2.988 162 mat

1. Insert Image empty argument 2. size for convenience 3. switch border ON/OFF 4. capture a region,crop image 5. save as *PNG 6. Insert Background 7. Browse from file 8. double click ... done ........................ 9. addtionally to native PNG transparency: you can add/remove luminosity ... How ? 10. copy the captured_cropped image ... paste in IrfanView. At this point in Irfanview 11. increase/decrease Gamma. 12. save that new version *.PNG