- #1
electronic engineer
- 145
- 3
Homework Statement
We have the following signal frequencies:
f1=18 Hz, f2=510 Hz, f3=1100 Hz
when using the sampling frequency fs=1000 Hz.
how would these signals be like?
my question is if I could use the same formula stated below for all the frequencies f1,f2,f3.. because the second and third ones are above the Nyquist Frequency fc=fs/2=500 Hz so there would be aliasing in this case.
and what about the graphs for these samplings?
Homework Equations
when using another sampling frequency fs=1002 Hz
and here also would be the same questions.
The Attempt at a Solution
I used the formula:
$$ S_{\Delta }(v)= f_{s}\sum_{n=-\infty}^{+\infty}(S(v-n*f_{s})) $$
for the first frequency f1= 18 Hz I had:
$$ S_{\Delta}(18)=1000\sum(S(18-n*1000)) $$
where $$ n=-\infty $$ to $$ +\infty $$