# If the noise component n is AWGN with zero mean and PSD (power spectral density) N./2, derive the theoretical expression of bit-error rate (BER) of this system as a function of the parameters A and N.

###### alkes chem
September 15, 2021
###### Using the ERD you drew in Problem 2, create the equivalent object representation and UML class diagram. (Use Figure 2.4 as your guide.)
September 15, 2021

3. (40 points) A binary communication system transmits signals s (0) (i = 1, 2). The receiver samples the received signal r(t) = s(t)+ n(t) at T and obtain the decision statistic r =r(T) = S(T) + n(T) = a, un, where the signal component is either a = + A or a, = -A with A >0 and n is the noise component. Assume that s (6) and s(l) are equally likely to be transmitted and the decision threshold is chosen as zero. a) If the noise component n is AWGN with zero mean and PSD (power spectral density) N./2, derive the theoretical expression of bit-error rate (BER) of this system as a function of the parameters A and N.. b) If the noise component n is uniformly distributed over [-1, +1] and A=0.8, derive the expression of BER of this system.

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