4- 72 watts/sec. Also Consider the following 16-QAM modulation. The channel is A

Question

4- 72 watts/sec. Also Consider the following 16-QAM modulation. The channel is AWGN and the noise power is assume that all symbols are equally likely (P(%) = 1/ 16). [60 points] a) Find A if the average bit energy is Eb-36? [10 pts] b) What is the distance between Siand s2? (10pts] c) What is the probability of error if s1 is sent? [10 pts] d) What is the probability of error if s2 is sent? [5 pts e) What is the probability of error if s6 is sent? [5 pts] f) Which symbol is the more robust symbol to the noise (the symbol with the lowest symbol error probability)? 2 Why? [S pts] Which is the more sensitive symbol to the noise (the symbol with the highest symbol error probability). Why? g) S pts Is the following mapping between the symbols optimal? If not, make a suggestion to minimize bit error probability. [10 pts] h) 1110 s3 0010 . 0111 $10 s12 0000 13 0100 . .3A1 1100. s15 1000 . s16 14 5- Consider the following BPSK modulation system with the following parameters: [60 points 1(t)-./2/Ts cos 2 × 106t ,0

Explanation / Answer

4

5.

6. The output bits are 0100011001101011

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