4. A discrete-time system has a transfer function (the z transform of its impulse response)

H(z) = z/z²+z+0.24

If a unit sequence u[n] is applied as an excitation to this system, what is the numerical value of the response y[1]?

FInd the numerical value of y[1].

5.The z transform of a discrete-time signal x[n] is

X(z) = z⁴/z⁴+z²+1

What is the numerical value of x[1]?

Find the numerical value of x[1] .

6.Consider the transfer function

H(z) = z²(z?1/2)(z+1/4) , |z|>1/2

The inverse of H(z) is

h[n] = ?[n]+(C(1/2)^n-1+D(?1/4)^n-1)u[n?1]

Find the numerical value of C and D