00:01
Hi, in this question, you're saying that if the fastest sample rate of an existing data acquisition device is f equals to 8 kilohertz, then which of the following signals can be measured without severe distortion? in a, we have a 20 hertz vibration measurement.
00:23
So let's see for this one.
00:26
Now, we know that for distortion -less measurement, the condition that must be satisfied is that ff should be greater than or equals to twice of fm, where fs is the sampling frequency, and it is given as 8 kilohertz.
00:44
So we have this value as fs, and fm is the frequency of the given signal.
00:52
So we have the value of fm as 20 hertz.
00:57
So here, the value of twice of fm will be 40 hertz.
01:02
And as we can see that 8 kilohertz is greater than 40 hertz, so condition given by this equation is satisfied.
01:15
So this signal is distortion -free.
01:18
Hence, option a is correct.
01:26
Now, moving on to the next option, that is option b, in which they're saying 10 kilohertz square wave.
01:35
So now, for this, we have the value of fm as 10 kilohertz, which makes the value of twice of fm as 20 kilohertz.
01:47
And we know that 20 kilohertz is greater than 8 kilohertz.
01:53
So the condition is not satisfied...