MEEN 260
Introduction to Engineering Experimentation
Homework 8: Sampling Theory and the Nyquist Frequency
Assigned:
Thursday, 26 Mar. 2009
Due:
Thursday, 2 Apr. 2009, 5:00pm
Learning Objectives:
After completing this homework assignment, you should be able to:
1)
Determine the Nyquist Frequency based on a sampling frequency
2)
Determine if a harmonic signal will be aliased, and the aliased (apparent) frequency of the
reconstructed signal
3)
Determine the digital signal after sampling an analog signal, including the digital frequencies
4)
Reconstruct an analog signal from a digital signal
Homework Problems:
Problem 1)
Nyquist Frequncy
a)
What sampling frequency produces a Nyquist Frequency of 256 Hz?
b)
A waveform contains harmonics of 75 Hz. Which of these can be accurately measured
assuming the sampling frequency from part a)? (definition: a harmonic is based on integer
multipliers of a fundamental frequency)
c)
An engineer wants to measure vibration effects in a motorcycle engine that redlines at 9500
rpm. Assuming this is also the limit of the frequencies present, what is the minimum
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 Fall '08
 LANGARI
 Digital Signal Processing, Signal Processing, sampling rate, sampling frequency

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