## Related questions with answers

We need to use the signal from a piezoelectric vibration sensor in a computer-aided instrumentation system. The signal is known to contain components with frequencies up to 30 kHz. What is the minimum sampling rate that should be specified? Suppose that we want the resolution of the sampled values to be 0.1 percent (or better) of the full range of the ADC. What is the fewest number of bits that should be specified for the ADC?

Solution

VerifiedThe sampling rate should be at least two times higher than the highest frequency of sampled signal:

$\boxed{f_s\ge 2f_H=2\cdot 30=60\ \text{kHz}}$

To achieve resolution of 0.1 percent or better of the full range of the ADC, the fewest number of bits that should be specified for the ADC is ($N=1/0.001$):

$N=2^k$

$k=\log_2(N)=\log_2(1000)=9.96$

Since $k$ is an integer (number of bits), it should be $\textbf{at least 10-bit ADC}$.

## Create a free account to view solutions

## Create a free account to view solutions

## Recommended textbook solutions

#### Fundamentals of Electric Circuits

6th Edition•ISBN: 9780078028229 (2 more)Charles Alexander, Matthew Sadiku#### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

4th Edition•ISBN: 9780133942651 (8 more)Randall D. Knight#### Electrical Engineering: Principles and Applications

7th Edition•ISBN: 9780134484143 (2 more)Allan R. Hambley#### Advanced Engineering Mathematics

10th Edition•ISBN: 9780470458365 (5 more)Erwin Kreyszig## More related questions

1/4

1/7