Nyquist Frequency
- Page ID
- 283115
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Note
The LabVIEW run-time engine needs to be installed on the computer (Windows only), and can be obtained for free from here (user registration required, also free): http://www.ni.com/download/labview-run-time-engine-2010-sp1/2292/en/
Simulations themselves can be obtained here: https://sites.google.com/a/cord.edu/labview-for-analytical-chemistry/
Run the application called Nyquist.exe. Set the analog signal frequency to 10 and signal amplitude to 5. Set the Noise Standard Deviation at 0.
- Describe the Nyquist Sampling Theorem. Your textbook or other resources on the internet will be helpful for this.
- Describe what your digitally sampled signal looks like if the sampling frequency is the same as the analog signal frequency.
- Based upon the Nyquist sampling theorem, what is the minimum sampling rate you should use for this analog signal?
- Using the minimum sampling rate, what are the differences between the analog and the digital signals?
- What happens as the sampling rate drops below the Nyquist frequency?
- With no noise on the analog signal, at what sampling frequency does the shape of the digital signal begin to differ significantly from the analog signal?
- Increase the noise standard deviation from 0 to 1 to 2 to 3. How does the analog signal change as the noise standard deviation increases? How does your answer to the previous question change?
Contributors and Attributions
- An-Phong Le, Florida Southern University (ale@flsouthern.edu)
- Sourced from the Analytical Sciences Digital Library