How many bits would an ADC require to measure....

In summary: So a 16 bit ADC is more than enough.In summary, to accurately measure a 4KHz signal with a hydrophone with a sensitivity of -186dB re 1V/uPa, a capacitance of 12 nF, and a dissipation factor of 0.015, an ADC with at least 16 bits and a minimum sampling frequency of 8kHz would be sufficient. The data rate from the ADC would depend on the desired precision, but cannot exceed 8000 samples/s. It is recommended to purchase a 16 or 24 bit USB ADC with a sample rate of 44kHz to 96kHz for high quality measurements.
  • #1
lcr2139
62
1

Homework Statement


How many bits would an ADC require to measure the output of the preamp?
What minimum frequency would the ADC need to sample at to measure the 4KHz signal accurately?
What would the data rate from the ADC need to be at the minimum sample rate?
Given a hydrophone with the following characteristics:
Sensitivity -186dB re 1V/uPa
Capacitance 12 nF
Dissipation factor (AKA Tan Delta, Loss Angle) 0.015

Homework Equations


I am not very familiar with ADC's, numbers of bits, sample rates and data rates. Could someone put me in the right direction by teaching me a little about digital circuits, ADC's, sample and data rates, and bits?

The Attempt at a Solution

 
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  • #2
lcr2139 said:
How many bits would an ADC require to measure the output of the preamp?
This is a bit like asking "How high is up?". As many bits as you want!
lcr2139 said:
What minimum frequency would the ADC need to sample at to measure the 4KHz signal accurately?
As per Nyquist theorem: 8k samples/s.
lcr2139 said:
What would the data rate from the ADC need to be at the minimum sample rate?
Again: Whatever you want. You cannot get more than 8000 samples/s, but it is up to you how often you read the ADC.

Check out http://www.ti.com/product/ads1291. You can choose between a 16 and a 24 bit ADC - which means a resolution of 15.2ppm or 0.06ppm (parts per million). Consider yourself lucky if your analog part has a precision of 1%.
 
  • #3
You can buy 16 or 24bit USB ADC intended for capturing music. Sample rates 44kHz -96kHz. Companies like Behringer or Focusrite perhaps. Beware some very cheap ADC may say they are 24 but won't really be 24 bit quality.
 
  • #4
CWatters said:
Beware some very cheap ADC may say they are 24 but won't really be 24 bit quality.
As I said - the analog part probably won't be better than 1% - which is the equivalent of 7 bits.
 

1. How many bits would an ADC require to measure a voltage?

An ADC would require at least 8 bits to measure a voltage accurately. This number of bits corresponds to 256 possible values, which is sufficient for most voltage measurements.

2. How does the frequency of the signal affect the number of bits needed for an ADC?

The frequency of the signal does not directly affect the number of bits needed for an ADC. However, if the signal has a high frequency, a higher sampling rate may be required to accurately capture the signal, which in turn may require a higher number of bits for the ADC.

3. Can an ADC with fewer bits measure a higher voltage?

No, the number of bits in an ADC is directly related to its resolution, not its maximum voltage range. An ADC with fewer bits will have a lower resolution and may not be able to accurately measure a higher voltage.

4. What is the relationship between the number of bits and the accuracy of an ADC?

The number of bits in an ADC determines its resolution, which in turn affects its accuracy. A higher number of bits allows for a finer resolution and therefore a more accurate measurement.

5. How does the number of bits in an ADC affect its cost?

In general, a higher number of bits in an ADC will result in a higher cost. This is because a higher resolution requires more complex circuitry and components, making the ADC more expensive to produce.

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