Consider the detection, using a matched-filter receiver, of the BPSK signals s,(t) = A cos w,t and s2(t) = A cos(@,t + 1) in additive white Gaussian noise with a received E, /N, = 6.8 dB, where A = /2E/T ; E and T denote the symbol energy and period, respectively. Assume that the signals have the same probability of occurrence and that the mean value of the sampled matched-filtered output is equal to ±VE. For this system: a) Detemine the minimum probability of bit error b) Detemine the minimum probability of bit error given that the threshold yopt = 0.1VE c) Now consider that Yopt = 0.1vE is optimum for a particular set of a prior probabilities, P(s,) and P(s2). Determine the values of these probabilities.

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Distribution System

The final stage in the delivery of the electric power is the electric power distribution system. From the transmission system to the individual customers it carries electricity. The distribution system is connected with the transmission system and is used to lower the voltage of the transmission to medium voltage in the range of 2 kV to 35 kV with the help of transformers. This medium voltage to the distribution transformers located near the customer's premises is carried by the primary distribution system lines. These distribution transformers in turn lower the voltage to utilization voltage used in lightings, household appliances, industrial equipments etc. Through secondary distribution lines often several customers are supplied from one transformer. It is through service drops, the commercial and residential customers are connected to the secondary distribution system lines. Customers who demand a larger amount of power can be connected directly to the primary distribution system level or the sub-transmission level.