Why sampling a periodic signal doesn't yield a periodic discrete signal?Main differences to take into account between continuous and discrete time signalsWhy is my bode plot showing periodic behavior?properties of SystemDoes the hold part in sample and hold turns the signal from discrete to continuous?$2pi$ periodicity of discrete-time Fourier transformWhy do we use discrete-time sampling?What is the difference between continuous, discrete, analog and digital signal?Why DTFT coefficients are periodic and why continuous Fourier transform coefficients are not periodic?Minimum possible sampling frequency for continuous time signalFourier Series Representation of Continuous-Time Periodic Signals
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Why sampling a periodic signal doesn't yield a periodic discrete signal?
Main differences to take into account between continuous and discrete time signalsWhy is my bode plot showing periodic behavior?properties of SystemDoes the hold part in sample and hold turns the signal from discrete to continuous?$2pi$ periodicity of discrete-time Fourier transformWhy do we use discrete-time sampling?What is the difference between continuous, discrete, analog and digital signal?Why DTFT coefficients are periodic and why continuous Fourier transform coefficients are not periodic?Minimum possible sampling frequency for continuous time signalFourier Series Representation of Continuous-Time Periodic Signals
$begingroup$
I've been studying Signals and systems lately and I've came across a bullet point in a slide that claims "The uniform sampling of a periodic continuous-time signal may not be periodic!".
Can someone explain why is this statement true?
discrete-signals signal-analysis sampling continuous-signals
asked 10 hours ago
Ahmed WessamAhmed Wessam
1134
New contributor
Ahmed Wessam is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
I've been studying Signals and systems lately and I've came across a bullet point in a slide that claims "The uniform sampling of a periodic continuous-time signal may not be periodic!".
Can someone explain why is this statement true?
discrete-signals signal-analysis sampling continuous-signals
asked 10 hours ago
Ahmed WessamAhmed Wessam
1134
New contributor
Ahmed Wessam is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
I've been studying Signals and systems lately and I've came across a bullet point in a slide that claims "The uniform sampling of a periodic continuous-time signal may not be periodic!".
Can someone explain why is this statement true?
discrete-signals signal-analysis sampling continuous-signals
asked 10 hours ago
Ahmed WessamAhmed Wessam
1134
New contributor
Ahmed Wessam is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
I've been studying Signals and systems lately and I've came across a bullet point in a slide that claims "The uniform sampling of a periodic continuous-time signal may not be periodic!".
Can someone explain why is this statement true?
discrete-signals signal-analysis sampling continuous-signals
discrete-signals signal-analysis sampling continuous-signals
asked 10 hours ago
Ahmed WessamAhmed Wessam
1134
New contributor
Ahmed Wessam is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 10 hours ago
Ahmed WessamAhmed Wessam
1134
New contributor
Ahmed Wessam is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 10 hours ago
Ahmed WessamAhmed Wessam
1134
New contributor
Ahmed Wessam is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 10 hours ago
Ahmed WessamAhmed Wessam
1134
asked 10 hours ago
Ahmed WessamAhmed Wessam
1134
1134
New contributor
Ahmed Wessam is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Ahmed Wessam is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
add a comment |
add a comment |
1 Answer
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If the ratio between your sampling frequency and the frequency of your signal is irrational, you will not have a periodic discrete signal.
Assuming you have a 1-kHz sine wave and you sample at 3000*sqrt(2) Hz. You will have approximately 4.2 samples per period. However you will not be able to sample the sine wave exactly at the same place. Hence your digital signal will not be periodic.
However, if you sampled the same 1-kHz signal at 4 kHz, you would get a periodic discrete signal. The period would be 4 samples.
edited 5 hours ago
Dilip Sarwate
13.7k12563
answered 10 hours ago
BenBen
793411
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$begingroup$
If the ratio between your sampling frequency and the frequency of your signal is irrational, you will not have a periodic discrete signal.
Assuming you have a 1-kHz sine wave and you sample at 3000*sqrt(2) Hz. You will have approximately 4.2 samples per period. However you will not be able to sample the sine wave exactly at the same place. Hence your digital signal will not be periodic.
However, if you sampled the same 1-kHz signal at 4 kHz, you would get a periodic discrete signal. The period would be 4 samples.
edited 5 hours ago
Dilip Sarwate
13.7k12563
answered 10 hours ago
BenBen
793411
$endgroup$
add a comment |
$begingroup$
If the ratio between your sampling frequency and the frequency of your signal is irrational, you will not have a periodic discrete signal.
Assuming you have a 1-kHz sine wave and you sample at 3000*sqrt(2) Hz. You will have approximately 4.2 samples per period. However you will not be able to sample the sine wave exactly at the same place. Hence your digital signal will not be periodic.
However, if you sampled the same 1-kHz signal at 4 kHz, you would get a periodic discrete signal. The period would be 4 samples.
edited 5 hours ago
Dilip Sarwate
13.7k12563
answered 10 hours ago
BenBen
793411
$endgroup$
add a comment |
$begingroup$
If the ratio between your sampling frequency and the frequency of your signal is irrational, you will not have a periodic discrete signal.
Assuming you have a 1-kHz sine wave and you sample at 3000*sqrt(2) Hz. You will have approximately 4.2 samples per period. However you will not be able to sample the sine wave exactly at the same place. Hence your digital signal will not be periodic.
However, if you sampled the same 1-kHz signal at 4 kHz, you would get a periodic discrete signal. The period would be 4 samples.
edited 5 hours ago
Dilip Sarwate
13.7k12563
answered 10 hours ago
BenBen
793411
$endgroup$
If the ratio between your sampling frequency and the frequency of your signal is irrational, you will not have a periodic discrete signal.
Assuming you have a 1-kHz sine wave and you sample at 3000*sqrt(2) Hz. You will have approximately 4.2 samples per period. However you will not be able to sample the sine wave exactly at the same place. Hence your digital signal will not be periodic.
However, if you sampled the same 1-kHz signal at 4 kHz, you would get a periodic discrete signal. The period would be 4 samples.
edited 5 hours ago
Dilip Sarwate
13.7k12563
answered 10 hours ago
BenBen
793411
edited 5 hours ago
Dilip Sarwate
13.7k12563
edited 5 hours ago
Dilip Sarwate
13.7k12563
edited 5 hours ago
Dilip Sarwate
13.7k12563
13.7k12563
answered 10 hours ago
BenBen
793411
answered 10 hours ago
BenBen
793411
answered 10 hours ago
BenBen
793411
793411
add a comment |
add a comment |
Ahmed Wessam is a new contributor. Be nice, and check out our Code of Conduct.
Ahmed Wessam is a new contributor. Be nice, and check out our Code of Conduct.
Ahmed Wessam is a new contributor. Be nice, and check out our Code of Conduct.
Ahmed Wessam is a new contributor. Be nice, and check out our Code of Conduct.
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