The impulse response

satisfies the difference equation

with zero boundary conditions. By definition

(a) Use the difference equation to show that

(b) Show that for m ≥ 0; n > 0

determine the values of h[m; 0] form ≥ 0, and use these equations to compute the impulse response h[m; n]. Plot the resulting h[m; n]. Is the system with this impulse response BIBO stable? Explain.

hm, п] 3 т +n т h[m, n] = h[m – 1, n] + [m,n – 1] + ő[m, n]