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Assignment6-Solutions

Assignment6-Solutions - S/N=100 Then with Shannon’s...

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Answers to the questions in Assignment 6 1. The correct statements are: 1.1 and 1.2 1.4: A sine signal has only one frequency. 2. The correct statements are: 2.1 and 2.3 2.2: The signal can be represented by a Fourier series that has infinite number of frequency components. 3. The correct answer is: 3.4 4. The correct choice is: 4.4 5. The correct choice is: 5.5 From 300=2*30 log 2 V , we obtain V=2 5 =32 . 6. The correct choice is: 6.4 7. The correct statements are: 7.1 and 7.4 8. The correct choices are: 8.1 and 8.2 To get all the correct choices, we also need to apply the Nyquist theorem in addition to the Shannon’s theorem. Since the signal-to-noise ratio is 20 dB, we get
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Unformatted text preview: S/N=100 . Then, with Shannon’s theorem, we get the maximum achievable rate R Shannon max = Hlog 2 (1+S/N)=3* log 2 101 that is larger than 3*log 2 64=18 kbits/sec, but smaller than 3*log 2 128=32 kbits/sec. From this, all 8.1, 8.2 and 8.3 could be correct choices. However, from Nyquist theorem, we know the maximum achievable rate R Nyquist max =2Hlog 2 V, where V=2 since the signal is binary . So we further have R Nyquist max =6 kbits/sec , for which only 8.1 and 8.2 are satisfactory . Taking both into account, we can conclude that only 8.1 and 8.2 are correct choices. Page 1 of 1 1...
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