FIR Filter

An FIR filter is described by the difference equation

y[n] = 3x[n] + 2x[n-3] - 3x[n-5].

1.

Find the impulse repsonse h[n] of this filter and plot versus n.

2.

Let x[n] be the complex exponential signal

$$x[n] = 3 \exp(j0.4\pi n - \pi/2) \;\; \mbox{for all $n$ }.$$

Then it is possible to express the output in the form

$$y[n] = A \exp(j 2\pi f n + \phi) \;\; \mbox{for all $n$ }.$$

Determine numerical values for the parameters A, f, and $\phi$.