3. An 8-bit bipolar (+2.5 V) A/D will be used to take samples of a triangular wa

Question

3. An 8-bit bipolar (+2.5 V) A/D will be used to take samples of a triangular waveform that varies linearly between t2 V. What is the maximum frequency of the triangular wave if the A/D conversion time is 12 us. 4. An A/D is used to encode pressure data. The input voltage is conditioned such that 1 V represents 1.5 psi. a. If the digital output of the A/D is to resolve pressure to the nearest of 0.5 psi, determine the number of bits necessary for the A/D. Assume Vps 10.0 V b. Determine the maximum measurable pressure. e Pages 1of z

Explanation / Answer

Solution:

3) Let fm is the frequency of the triangular wave to be sampled.

Based on sampling theory,

Signal is reconstructed if it is sampled more than 2fm.

Sampling period 1/2fm > 12microsec

So fm < 1/24microsec= 41.67KHz

The frequency of triangular wave should be less than 41.67KHz.

4) 10V full scale voltage represents = 10*1.5=15psi

Minimum step size reqrired as per data is 0.5psi

Let n be number of bits required

FS/2n < 0.5psi

2n > 15/0.5 = 30

n > 4.9

So the number of bits required is 5 bits

b)

Maximum measurable pressure = 10*1.5=15psi

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