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HW 04 - rate of 14 kHz c take a rate of 62 kHz d if...

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ME360 homework assignments, Spring 2010 HW4, Feb. 15, due Feb. 22 Reading Text 1: Sect. 3.5, 3.6, 14.1.1, 14.2, 14.3, 14.4, 14.5, Text 3: Ch. 6, Ch. 8, Sect. 10.2. Problems 1. a) x[n]=cos(n/27), b) x[n]=cos(3n /10)- 2sin(4n /11) , c) x[n]= 2-3sin(4n /9) , d) x[n]=cos(n /6)+cos(n /7), e) x[n]=e -j0.1n , f) x[n]= e -j0.1n , g) x[n]= 4e -j0.3n + 4e j 0.7n , h) x[n]= (-j) n/9 . 2. a) x[n]=cos(6n /11), b) x[n]=cos(8n /9)+sin(10n /9). 3. Take sampling rate S=400 Hz, a) x(t)=sin(700 t+ /5), b) x(t)=sin(400 t), c) x(t)=cos(40 t). 4. Let the analog signal x(t)=sin(26000 t+ /6) be sampled at a sampling rate of 30 kHz; a) can the signal be reconstructed exactly? Why or why not? Solve the rest of a); b) take a
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Unformatted text preview: rate of 14 kHz; c) take a rate of 62 kHz; d) if x(t)=sin(26000 t+ /6) is sampled at a sampling rate of 8 kHz, what reconstruction rate would ensure that the frequency of the reconstructed signal matches the frequency of the original signal before its sampling? 5. Rework the problem for maximum difference output voltage under full load = 14mV and calibration accurate to 0.004 N. Draw schematics. Indicate the composition of the signal at the output of the strain gauge in terms of common mode, normal mode, and parasitic (noise) signal voltages, indicate analytically how instrumentation amp extracts normal mode signal....
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