1x BI 4 Prob 5.3 A continuous-time signal is sampled and then transmitted as a PCM signal. The random variable at the input of the decision device in the receiver has a variance of 0.01 volts². (a) Assuming the use of polar NRZ signaling, determine the pulse amplitude that must be transmitted for the average error rate not to exceed 1 bit in 10 bits. (b) If the added presence of interference causes the error rate to increase to 1 bit in 10 bits, what is the variance of the interference? Prob 5.4 A binary PCM wave uses unipolar NRZ signaling to transmit symbols 1 and 0; symbol 1 is represented by a rectangular pulse of amplitude A and duration Tb. The channel noise is modeled as additive, white and Gaussian, with zero mean and power spectral density No/2. Assuming that symbols 1 and 0 occur with equal probability, find an expression for the average probability of error at the receiver output, using a matched filter. Prob 5.5 Consider a baseband M-ary system using M discrete amplitude levels. The receiver model is as shown in Figure 6, the operation of which is governed by the following assumptions: (a) The signal component in the received wave is m(t)=Σa, sin c(-n) where 1/T is the signaling rate in bauds. (b) The amplitude levels are a±A/2, ±34/2,... (M-1)4/2if M is given, and