1. is sin(pi/4) causal?
2. is sin(pi/4) stable?
3. is delta(n+1) causal?
4. = ?
5. If function w [ n ] is convolved with , what will the result
6. if a system with signal length 4 is convolved with its own
system response, what will the length of that signal be?
7. In an LTI system, x[n] * h[n]= y[n]. What is x[n-3] * h[n-2]
S(x) is a cubic spline for the function f(x) = sin(pi x/2) +
cos(pi x/2) at the nodes x0 = 0 ,
x1 = 1 , x2 = 2
and satisfies the clamped boundary conditions. Determine the
coefficient of x3 in S(x) on [0,1] ans. pi/2 -3/2
Find the Fourier Series for the function defined over -5 < x
f(x) = -2 when -5<x<0 and f(x) = 3 when 0<x<5
You can use either the real or complex form but must show
Plot on Desmos the first 10 terms of the series along with the