I never got around to making the model "in metal" in a week... There were many distractions. But I've got it all in my head - all that's left is to "put it on paper" ;)
I think it would be useful to demonstrate the effect of the input signal frequency on the recorded readings:
Since your samples are with period dT=1, there is no point in considering frequencies w > 1/2 * 2*pi/dT = (2*pi)/(2*1) = pi, they are all cut off by the Nyquist limit.
As the samples you have are with period dT=1, there is no point in considering frequencies w > 1/2 * 2*pi/dT = (2*pi)/(2*1) = pi, they are all cut off by the Nyquist limit.
I know that, believe me. But for so many people this frequency doesn't mean anything. And they haven't heard about Kotelnikov's tereum. But the given pictures give a visual representation, which is quite understandable in general.
Oleg, have you discovered anything new yet?
Are you suggesting that the above is long out of date and of no interest?
I never got around to making the model "in metal" in a week... There were many distractions. But I've got it all in my head - all that's left is to "put it on paper" ;)
Yusuf, let's take it from here.
Let's start with a sine wave
Select the countdowns.
.
.
The countdown is the bar number.
I think it would be useful to demonstrate the effect of the input signal frequency on the recorded readings:
.
.
.
.
.
.
And here's what happens...
.
..
.
It's no good...
Have I done everything right, Yusuf?
I think it would be useful to demonstrate the effect of the input signal frequency on the recorded readings:
Since your samples are with period dT=1, there is no point in considering frequencies w > 1/2 * 2*pi/dT = (2*pi)/(2*1) = pi, they are all cut off by the Nyquist limit.
As the samples you have are with period dT=1, there is no point in considering frequencies w > 1/2 * 2*pi/dT = (2*pi)/(2*1) = pi, they are all cut off by the Nyquist limit.
I know that, believe me. But for so many people this frequency doesn't mean anything. And they haven't heard about Kotelnikov's tereum. But the given pictures give a visual representation, which is quite understandable in general.
And here's what happens...
.
..
.
It's no good...
Have I done everything right, Yusuf?