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Unformatted text preview: EE 7615 Problem Set # 5 Due: 11,5,10 1) Please attempt each problem on a new page. 2) Show all your work clearly. 1. Binary Data of rate R b = 500 bits/sec. is to be transmitted across an AWGN channel with noise power spectral density S N W ( f ) = 10- 5 watts/Hz. The available frequency band is (2500 , 3500) Hz. Find the smallest power P with which bit error probability of P b ( E ) = 10- 5 can be achieved using (a) i. Any PSK system (Binary, 4-ary, 8-ary, etc.). ii. Any FSK system (Binary, 4-ary, 8-ary, etc.). iii. Any ASK system (Binary, 4-ary, 8-ary, etc.). iv. Any QASK system (Binary, 4-ary, 16-ary, etc.). v. Any system whatsoever. (b) Repeat the above assuming that the data rate is R b = 3500 bits/sec. 2. The following signal set is used to transmit binary equiprobable data of rate R b = 1000 bits/sec. across an AWGN channel with power spectral density of N 2 Watts/Hz. (a) Find an orthonormal basis for the signal set and plot the vector representation of the signals....
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- Fall '11