Exercise 4: Let x[n] be the complex exponential
x[n]=11e^(j(0.3\pi n+0.5\pi ))
If we define a new signal y[n] to be the output of the difference equation:
y[n]=2x[n]+4x[n-1]+2x[n-2]
it is possible to express y[n] in the form
y[n]=Ae^(j(\omega _(0)n+\phi ))
Determine the numerical values of A,\phi , and \omega _(0).