Sampling frequencies

  • #1

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 $$ +\infty $$
 

Answers and Replies

  • #2
haruspex
Science Advisor
Homework Helper
Insights Author
Gold Member
2020 Award
35,992
6,691
how would these signals be like?
Do you mean, for each actual frequency, what is the lowest frequency that could yield the same sampling results?
 
  • #3
Do you mean, for each actual frequency, what is the lowest frequency that could yield the same sampling results?
No i mean for each actual frequency wha are the sampling results for fs=1000 Hz and then for fs=1002 Hz.
 

Related Threads on Sampling frequencies

Replies
11
Views
2K
  • Last Post
Replies
5
Views
668
  • Last Post
Replies
2
Views
183
  • Last Post
Replies
4
Views
1K
Replies
1
Views
2K
Replies
2
Views
16K
  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
1
Views
12K
  • Last Post
Replies
1
Views
593
Top