When a group of musicians play the same piece in unison, they are (hopefully) synchronized with each other, except for small variations in timing and how loud they play. These variations produce the chorus effect. A chorus of three musicians can be created from a recording of a single musician by the following filter: y[n] = x[n] +ajx[n di[n]] + a2[n dz[n]] (4) a) Explain why this filter can be used to generate a chorus. Consider now the filter in (4) with a = a, ag = a, d1[n] = D, and da[n] = 2D (D is a fixed integer). b) What is the transfer function of this filter? c) Find the expressions for both the frequency response and the impulse response of the filter. d) Determine the zeros of the transfer function. e) How many peaks and dips of the magnitude response occur in the frequency range 0