quiz1 - (2[3 pts What is the maximum sampling period of a...

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Quiz 1, MATH 464, 6 April 2010 Your Name: _____________________________________ (1) [3 pts] A band-limited signal is sampled at its critical (Nyquist) sampling rate of 100 KHz . Thus in one-second interval 100,000 samples are collected. If only 1000 samples are used to compute the signal at some time in the middle of that one- second interval, the reconstruction error is 10 -4 . Are there enough samples to guarantee a reconstruction error 20 times smaller?
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Unformatted text preview: (2) [3 pts] What is the maximum sampling period of a 50 KHz band-limited signal so that we can perfectly compute the signal at any time t ? (Recall 1 KHz = 1,000 Hz = 1,000 s-1 ) (3) [4pts] A 10 KHz band-limited signal is sampled at its Nyquist rate. The only nonzero samples are: ⎩ ⎨ ⎧ = − = − = ms t ms t t x 2 . 1 2 . 1 2 ) ( Compute x(0) (that is, x(t) for t=0 ms ). Recall 1 ms = 10-3 s ....
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quiz1 - (2[3 pts What is the maximum sampling period of a...

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