Math Problem Statement
Multifunction data acquisition boards usually have the following sub systems Group of answer choices
Pulse generation only
Digital input and output only
Analog output only
All of the other systems mentioned
Analog input only
Flag question: Question 2 Question 21 pts You are given a signal that contains frequencies up to 100 Hz. To properly acquire this signal, the sampling frequency should be Group of answer choices
100 Hz
Above 200 Hz
Below 50 Hz
Any value I choose
Flag question: Question 3 Question 31 pts When the sampling frequency is too low to avoid aliasing and no-anti aliasing filter is used Group of answer choices
Only certain high frequencies will not be seen in the spectrum
Certain high frequencies will alias (will show up in a spectrum but at a lower frequency)
Certain high frequencies will alias (will show up in the spectrum but at a higher frequency)
Only certain high frequencies will be absent in spectrum
Flag question: Question 4 Question 41 pts Aliasing can be easily removed after it has already occurred during data acquisition Group of answer choices
True
False
Flag question: Question 5 Question 51 pts The Nyquist frequency equals Group of answer choices
Any value I can choose
2 * Sampling frequency
Sampling frequency
½ Sampling frequency
Solution
Here are the correct answers and explanations for each question:
- Multifunction data acquisition boards usually have the following subsystems:
- Correct Answer: All of the other systems mentioned
- Explanation: Multifunction data acquisition boards typically integrate pulse generation, analog input/output, and digital input/output capabilities to support various signal acquisition and generation tasks.
- To properly acquire a signal containing frequencies up to 100 Hz, the sampling frequency should be:
- Correct Answer: Above 200 Hz
- Explanation: According to the Nyquist theorem, the sampling frequency must be at least twice the highest frequency of the signal to avoid aliasing, so a sampling frequency greater than 200 Hz is required.
- When the sampling frequency is too low and no anti-aliasing filter is used:
- Correct Answer: Certain high frequencies will alias (will show up in a spectrum but at a lower frequency)
- Explanation: Aliasing occurs when higher frequency components of a signal appear as lower frequency components due to undersampling.
- Aliasing can be easily removed after it has already occurred during data acquisition:
- Correct Answer: False
- Explanation: Once aliasing has occurred, it is impossible to distinguish between true signal components and aliased components, making post-acquisition correction unfeasible.
- The Nyquist frequency equals:
- Correct Answer: ½ Sampling frequency
- Explanation: The Nyquist frequency is defined as half of the sampling frequency and represents the highest frequency that can be accurately sampled without aliasing.
Do you need more clarification on any specific topic or calculation?
Here are 5 questions for deeper exploration:
- What is the role of anti-aliasing filters in data acquisition systems?
- How does oversampling improve signal quality in data acquisition?
- Can you explain the relationship between Nyquist frequency and signal bandwidth?
- How does pulse generation benefit data acquisition systems in real-world applications?
- What are the consequences of incorrect sampling rates for digital systems?
Tip: Always apply an anti-aliasing filter before sampling to ensure accurate signal acquisition.
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Math Problem Analysis
Mathematical Concepts
Signal Processing
Nyquist Theorem
Aliasing
Sampling Rate
Formulas
Nyquist Frequency = Sampling Frequency / 2
Minimum Sampling Frequency = 2 * Maximum Signal Frequency
Theorems
Nyquist-Shannon Sampling Theorem
Suitable Grade Level
Undergraduate Engineering
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