(a) (i) What is the relationship between DTFT (Discrete Fourier Transform) and the z- Transform? (ii) x[n] = u[n - M + 1]. u[-n] 1. Sketch x[n]. 2. Find the z- transform X(z) of x[n]. 3. Find the DTFT X(@) of x[n]. 4. Sketch |X(@)| vs w. Indicate all the important values on your diagram. (b) The impulse response of a low-pass filter is given by h, [n]. A new filter is designed with the the impulse response h[n] = (-1)"h,[n]. (i) Find the frequency response H(@) of the new filter. (ii) Show that filter given in (i) is a high pass filter.