What Frequency Appears as 1 Hz When Sampled at 0.2 Seconds Due to Aliasing?

Click For Summary

Discussion Overview

The discussion revolves around the concept of aliasing in signal processing, specifically how different frequencies appear when sampled at a specific rate. Participants explore the implications of sampling a 1 Hz signal at a sampling interval of 0.2 seconds, and they seek to identify other frequencies that would also appear as 1 Hz due to aliasing effects.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant asks how to determine the next higher frequency that would appear as a 1 Hz wave when sampled at 0.2 seconds.
  • Another participant clarifies whether the sampling refers to a duration of 0.2 seconds or one sample taken every 0.2 seconds, indicating a sampling frequency of 5 Hz.
  • A participant states that to accurately sample a signal, at least two samples per cycle are needed, referencing the Nyquist theorem, which suggests that the minimum sampling frequency should be twice the frequency of the signal being sampled.
  • It is noted that while sampling a 1 Hz signal at 5 Hz is feasible, sampling higher frequencies like 4 Hz and 11 Hz would not yield distinguishable results.

Areas of Agreement / Disagreement

Participants express varying interpretations of the sampling scenario, and while there is some agreement on the implications of the Nyquist theorem, the specific frequencies that would alias to 1 Hz remain unresolved.

Contextual Notes

Participants have not fully clarified the assumptions regarding the sampling method, and the discussion does not resolve the specific frequencies that would appear as 1 Hz under the given sampling conditions.

kakolukia786
Messages
9
Reaction score
0
Hi. I have been given a plot for 1 Hz, sampled at 0.2 sec. And, 4 Hz and 11 Hz has also been plotted. So, from the plot, I can see that its really hard to distinguish between the signals after digitalization. My question is how do I find the next higher frequency which, when sampled at 0.2 secs, will look like a 1 Hz wave ?
 
Engineering news on Phys.org
kakolukia786 said:
Hi. I have been given a plot for 1 Hz, sampled at 0.2 sec. And, 4 Hz and 11 Hz has also been plotted. So, from the plot, I can see that its really hard to distinguish between the signals after digitalization. My question is how do I find the next higher frequency which, when sampled at 0.2 secs, will look like a 1 Hz wave ?
Do you mean 0.2s duration of sampling (with a given sampling frequency), or do you mean one sample every 0.2s (5Hz sampling frequency)?

Vidar
 
I mean one sample every 0.2 seconds
 
kakolukia786 said:
I mean one sample every 0.2 seconds

In general you need at least two samples per cycle. You have a sampling frequency of 5Hz. Sampling 1Hz with this is not a problem - however very coarse plot. Using the same sampling frequency when you have 4 and 11Hz input would not provide any results at all.
According to Nyquist theorem, the minimum sampling frequency is twice the frequency you are trying to sample. Below you see a link to a PDF explaining this.

http://redwood.berkeley.edu/bruno/npb261/aliasing.pdf


Vidar
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
2K
Replies
10
Views
3K
  • · Replies 4 ·
Replies
4
Views
24K
Replies
6
Views
5K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 19 ·
Replies
19
Views
5K
Replies
10
Views
3K
Replies
7
Views
4K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 4 ·
Replies
4
Views
3K