A signal generator produces a 3 V amplitude, 250 Hz sinusoidal signal. The signa
ID: 2248936 • Letter: A
Question
A signal generator produces a 3 V amplitude, 250 Hz sinusoidal signal. The signal is displayed on an analog oscilloscope and digitized in a DAQ connected to a computer.
a) What minimum sampling frequency could detect the sinusoid?
What sampling frequency wil capture 5 samples per cycle of the signal?
Which sampling frequency above is a better choice for measuring the actual signal frequency?
b) What is the time interval (dt) between each sample for (1) a sample rate of 10,000 Hz? (2) the minimum sampling frequency (from a)? (3) the sampling frequency capturing 5 samples per cycle (from a)?
Please explain findings. Thank you.
Explanation / Answer
minimumum detectable frequency is niquest frequency
niquest frequency=2*f
=2*250 Hz
=500 Hz
The Nyquist frequency should not be confused with the Nyquist rate, which is the minimum sampling rate that satisfies the Nyquist sampling criterion for a given signal or family of signals. The Nyquist rate is twice the maximum component frequency of the function being sampled. For example, the Nyquist rate for the sinusoid at 0.6 fs is 1.2 fs, which means that at the fs rate, it is being undersampled. Thus, Nyquist rate is a property of a continuous-time signal, whereas Nyquist frequency is a property of a discrete-time system
it is not dependent on samples per frequency is same
sampling frequency 0.5 KHz above is a better choice for measuring the actual signal frequency
B)
time interval between is =1/1000 Hz
= 1ms
dt=1ms
time interval between is =1/500 Hz ( from a)
= 2ms
dt=2ms
If 5 smples taken then
2/5=0.4 ms
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