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What is the Nyquist rate for a signal with a maximum frequency of 1 kHz? (2000)
What is the Nyquist rate for a signal with a maximum frequency of 1 kHz? (2000)
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What is the Nyquist rate for a signal with a maximum frequency of 1 kHz? (2000)
1 kHz
2 kHz
500 Hz
4 kHz
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Nyquist rate = 2 * f_max = 2 * 1000 Hz = 2000 Hz = 2 kHz.
Questions & Step-by-step Solutions
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Q
Q: What is the Nyquist rate for a signal with a maximum frequency of 1 kHz? (2000)
Solution:
Nyquist rate = 2 * f_max = 2 * 1000 Hz = 2000 Hz = 2 kHz.
Steps: 6
Show Steps
Step 1: Identify the maximum frequency of the signal. In this case, it is given as 1 kHz.
Step 2: Convert the maximum frequency from kHz to Hz if necessary. 1 kHz is equal to 1000 Hz.
Step 3: Use the Nyquist rate formula, which is Nyquist rate = 2 * f_max.
Step 4: Substitute the maximum frequency into the formula: Nyquist rate = 2 * 1000 Hz.
Step 5: Calculate the result: 2 * 1000 Hz = 2000 Hz.
Step 6: Convert the result back to kHz if needed. 2000 Hz is equal to 2 kHz.
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