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| Keywords: Dirac function approximation.gif Illustration of approximating the Dirac delta function by gaussians self-made with MATLAB 22 22 12 January 2008 UTC Oleg Alexandrov Source code MATLAB <source lang matlab > Illustration of approximating the Dirac delta function with gaussians function main r 3; the power in the Bernoulli inequality KSmrq's colors red 0 867 0 06 0 14; blue 0 129 205/256; green 0 200 70/256; yellow 254 194 0/256; white 0 99 1 1 1; Set up the grid and other parameters N 300; A -2; B 2; C -1; D 6; X linspace A B N ; Set up the figure lw 3; linewidth fs 18; font size for p 1 10 a 1/p; gaussian Y 1/ a sqrt pi exp -X 2/a 2 ; figure 1 ; clf; set gca 'fontsize' fs ; set gca 'linewidth' 0 4 lw hold on; plot_axes A B C D lw/1 5 ; plot X Y 'color' blue 'linewidth' lw ; axis equal; axis A B C D ; set gca 'XTick' -2 -1 0 1 2 text labels on the x axis grid on; H text B-1 5 D-0 5 sprintf 'a 1/ d' p 'fontsize' fs ; save to disk file sprintf 'Frame d eps' 1000+p ; disp file ; saveas gcf file 'psc2' pause 0 1 ; end Converted to gif with the command convert -antialias -density 100 -delay 20 -loop 10000 Frame10 Dirac_function_approximation gif then scaled in Gimp function plot_axes A B C D lw gray 0 5 1 1 1; plot A B 0 0 'linewidth' lw 'color' gray ; plot 0 0 C D 'linewidth' lw 'color' gray ; </source> Files by User Oleg Alexandrov from en wikipedia Animated GIF Dirac distribution Images with Matlab source code Mathematical animations | ||||
