8.14 The squared magnitude response of a linear channel, denoted by \H($)l2, is shown in Figure P8.14. Assuming that the gap I = 1 and the noise variance o = 1 for all subchannels, do the following: a. Derive the formulas for the optimum powers P1, P2, and P3, allocated to the three subchannels of frequency bands (0,W), (W, W2), and (W2, W). b. Given that the total transmit power P = 10, 11 = 2/3, and 12 = 1/3, calculate the corresponding values of P1, P2, and P3. = IH)2 1 1 1 1 1 I -W -W2 -W 0 Figure P8.14 W W2 W 8.14 The squared magnitude response of a linear channel, denoted by \H($)l2, is shown in Figure P8.14. Assuming that the gap I = 1 and the noise variance o = 1 for all subchannels, do the following: a. Derive the formulas for the optimum powers P1, P2, and P3, allocated to the three subchannels of frequency bands (0,W), (W, W2), and (W2, W). b. Given that the total transmit power P = 10, 11 = 2/3, and 12 = 1/3, calculate the corresponding values of P1, P2, and P3. = IH)2 1 1 1 1 1 I -W -W2 -W 0 Figure P8.14 W W2 W