[CST-2] IT&C Nyquist

Matthew Richards mwr22@cam.ac.uk
Thu, 24 May 2001 09:07:05 +0100


> Ok, Nyquist Rate: minimum sample with twice highest frequency (in
> Hertz) and that'll somehow work.
>
> Example: y = sin x.
> nyquist samples: x=0, pi, 2pi, 3pi, ...
>
> thing is: all of these samples have the same value of y: zero. So you're
> blatantly not going to be able to reconstruct the signal.

You know the frequency W (1/(2pi) in this case).  There's only one function
with a period of 2pi that has y=0 at at x=0, pi, ... - and that's y = sin x
!  You're right that if you didn't know what W was, you'd be stuck - he
didn't stress that you still need it in the lectures, but in the notes he's
got the equation for reconstructing the original signal from the samples,
and that uses W several times.


Hope this helps (and is right...),

Matthew