convolutions
Contents
rect * rect
do_convolve(@rect,@rect);
shift one of the functions
do_convolve(@rect,@(x) rect(x-1));
rect * tri
do_convolve(@rect,@tri);
tri * tri
do_convolve(@tri,@tri);
no symmetry
f = @(x) tri(x).*rect(x-0.5);
g = do_convolve(f,f);
x = linspace(-2,2,length(g));
dx = x(2)-x(1);
y = f(x);
farea = trapz(x,f(x));
fprintf('area under f(x): %g\n',farea);
garea = trapz(x,g);
fprintf('area under convolution: %g\n',garea);
area under f(x): 0.5
area under convolution: 0.25
flip second function
do_convolve(f, @(x) f(-x));
