Find the unit-pulse response h[n] of the filter. Compute the output y[n\\ when the input is x[n] = cos(pi n/5). Compute the output y[n\\ when the input is x[n] = -2 sin(pi n/16) - 2 cos(pi n/2) + cos(7 pi/8). Compute the output y[n]when the input is x[n] = sinc(n/3). Solution 1) unit step response = integration of impulse response = jw= n 2) x[n] = cos(n*pi/5) y[n] = n*cos(n*pi/5) 3) x[n] = sinc(n/3) y[n] = n*sinc(n/3).

1. Find the unit-pulse response h[n] of the filter. Compute the output y[n when the input is x[n]
= cos(pi n/5). Compute the output y[n when the input is x[n] = -2 sin(pi n/16) - 2 cos(pi n/2) +
cos(7 pi/8). Compute the output y[n]when the input is x[n] = sinc(n/3).
Solution
1) unit step response = integration of impulse response
= jw= n
2) x[n] = cos(n*pi/5)
y[n] = n*cos(n*pi/5)
3) x[n] = sinc(n/3)
y[n] = n*sinc(n/3)