complete with MATLAB

The Dirac Delta Function 2.1 Here's a way to develop intuition for the Dirac delta function using your favorite pro- gramming language or spreadsheet program. Model the delta function by a rectangular function of height a and width 1/a; note that it has an area of 1. Let the initial width of the rectangular function be from -0.5 to 0.5. Thus the pseudo-delta function is now defined as: 8(x) = { 1 -a/2