Fourier transform using table [closed]
$begingroup$
I have no understanding of performing Fourier transform on $te^{-|t|}$. In the question it says that I should use a table to perform it.
I also have a problem to solve, another Fourier transform $sin te^{-|t|}$.
Any help would be welcome.
fourier-transform
edited Jan 5 at 15:39
amWhy
192k28225439
asked Jan 5 at 14:23
Arnold PetterssonArnold Pettersson
1
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closed as off-topic by amWhy, Nosrati, Yanko, max_zorn, José Carlos Santos Jan 5 at 18:18
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – amWhy, Nosrati, Yanko, max_zorn, José Carlos Santos
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
$begingroup$
I have no understanding of performing Fourier transform on $te^{-|t|}$. In the question it says that I should use a table to perform it.
I also have a problem to solve, another Fourier transform $sin te^{-|t|}$.
Any help would be welcome.
fourier-transform
edited Jan 5 at 15:39
amWhy
192k28225439
asked Jan 5 at 14:23
Arnold PetterssonArnold Pettersson
1
$endgroup$
closed as off-topic by amWhy, Nosrati, Yanko, max_zorn, José Carlos Santos Jan 5 at 18:18
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – amWhy, Nosrati, Yanko, max_zorn, José Carlos Santos
If this question can be reworded to fit the rules in the help center, please edit the question.
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Your question was put on hold, the message above (and possibly comments) should give an explanation why. (In particular, this link might be useful.) You might try to edit your question to address these issues. Note that the next edit puts your post in the review queue, where users can vote whether to reopen it or leave it closed. (Therefore it would be good to avoid minor edits and improve your question as much as possible with the next edit.)
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– Martin Sleziak
Jan 7 at 18:52
add a comment |
$begingroup$
I have no understanding of performing Fourier transform on $te^{-|t|}$. In the question it says that I should use a table to perform it.
I also have a problem to solve, another Fourier transform $sin te^{-|t|}$.
Any help would be welcome.
fourier-transform
edited Jan 5 at 15:39
amWhy
192k28225439
asked Jan 5 at 14:23
Arnold PetterssonArnold Pettersson
1
$endgroup$
I have no understanding of performing Fourier transform on $te^{-|t|}$. In the question it says that I should use a table to perform it.
I also have a problem to solve, another Fourier transform $sin te^{-|t|}$.
Any help would be welcome.
fourier-transform
fourier-transform
edited Jan 5 at 15:39
amWhy
192k28225439
asked Jan 5 at 14:23
Arnold PetterssonArnold Pettersson
1
edited Jan 5 at 15:39
amWhy
192k28225439
asked Jan 5 at 14:23
Arnold PetterssonArnold Pettersson
1
edited Jan 5 at 15:39
amWhy
192k28225439
edited Jan 5 at 15:39
amWhy
192k28225439
edited Jan 5 at 15:39
amWhy
192k28225439
192k28225439
asked Jan 5 at 14:23
Arnold PetterssonArnold Pettersson
1
asked Jan 5 at 14:23
Arnold PetterssonArnold Pettersson
1
asked Jan 5 at 14:23
Arnold PetterssonArnold Pettersson
1
1
closed as off-topic by amWhy, Nosrati, Yanko, max_zorn, José Carlos Santos Jan 5 at 18:18
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – amWhy, Nosrati, Yanko, max_zorn, José Carlos Santos
If this question can be reworded to fit the rules in the help center, please edit the question.
closed as off-topic by amWhy, Nosrati, Yanko, max_zorn, José Carlos Santos Jan 5 at 18:18
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – amWhy, Nosrati, Yanko, max_zorn, José Carlos Santos
If this question can be reworded to fit the rules in the help center, please edit the question.
$begingroup$
Your question was put on hold, the message above (and possibly comments) should give an explanation why. (In particular, this link might be useful.) You might try to edit your question to address these issues. Note that the next edit puts your post in the review queue, where users can vote whether to reopen it or leave it closed. (Therefore it would be good to avoid minor edits and improve your question as much as possible with the next edit.)
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– Martin Sleziak
Jan 7 at 18:52
add a comment |
$begingroup$
Your question was put on hold, the message above (and possibly comments) should give an explanation why. (In particular, this link might be useful.) You might try to edit your question to address these issues. Note that the next edit puts your post in the review queue, where users can vote whether to reopen it or leave it closed. (Therefore it would be good to avoid minor edits and improve your question as much as possible with the next edit.)
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– Martin Sleziak
Jan 7 at 18:52
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Your question was put on hold, the message above (and possibly comments) should give an explanation why. (In particular, this link might be useful.) You might try to edit your question to address these issues. Note that the next edit puts your post in the review queue, where users can vote whether to reopen it or leave it closed. (Therefore it would be good to avoid minor edits and improve your question as much as possible with the next edit.)
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– Martin Sleziak
Jan 7 at 18:52
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Your question was put on hold, the message above (and possibly comments) should give an explanation why. (In particular, this link might be useful.) You might try to edit your question to address these issues. Note that the next edit puts your post in the review queue, where users can vote whether to reopen it or leave it closed. (Therefore it would be good to avoid minor edits and improve your question as much as possible with the next edit.)
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– Martin Sleziak
Jan 7 at 18:52
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2 Answers
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You could just compute the Fourier transform by $$mathcal F[ t e^{-t}]=int_{-infty}^infty te^{ikt-|t|}mathrm dt=int_0^{infty}t e^{-(ik+1)t}mathrm dt+int_0^infty te^{(ik-1)t}mathrm dt$$ which can be computed by integration by parts. A similar method should also work for $sin t e^{-|t|}$.
answered Jan 5 at 14:42
John DoeJohn Doe
11.1k11238
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add a comment |
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"Use a table"? Presumably they specify which table...
You could first find the FT of $e^{-|t|}$; that's much easier. Then presumably one of the entries in that table shows how to get the FT of $te^{-|t|}$ from the FT of $e^{-|t|}$.
answered Jan 5 at 15:59
David C. UllrichDavid C. Ullrich
59.4k43893
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add a comment |
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
You could just compute the Fourier transform by $$mathcal F[ t e^{-t}]=int_{-infty}^infty te^{ikt-|t|}mathrm dt=int_0^{infty}t e^{-(ik+1)t}mathrm dt+int_0^infty te^{(ik-1)t}mathrm dt$$ which can be computed by integration by parts. A similar method should also work for $sin t e^{-|t|}$.
answered Jan 5 at 14:42
John DoeJohn Doe
11.1k11238
$endgroup$
add a comment |
$begingroup$
You could just compute the Fourier transform by $$mathcal F[ t e^{-t}]=int_{-infty}^infty te^{ikt-|t|}mathrm dt=int_0^{infty}t e^{-(ik+1)t}mathrm dt+int_0^infty te^{(ik-1)t}mathrm dt$$ which can be computed by integration by parts. A similar method should also work for $sin t e^{-|t|}$.
answered Jan 5 at 14:42
John DoeJohn Doe
11.1k11238
$endgroup$
add a comment |
$begingroup$
You could just compute the Fourier transform by $$mathcal F[ t e^{-t}]=int_{-infty}^infty te^{ikt-|t|}mathrm dt=int_0^{infty}t e^{-(ik+1)t}mathrm dt+int_0^infty te^{(ik-1)t}mathrm dt$$ which can be computed by integration by parts. A similar method should also work for $sin t e^{-|t|}$.
answered Jan 5 at 14:42
John DoeJohn Doe
11.1k11238
$endgroup$
You could just compute the Fourier transform by $$mathcal F[ t e^{-t}]=int_{-infty}^infty te^{ikt-|t|}mathrm dt=int_0^{infty}t e^{-(ik+1)t}mathrm dt+int_0^infty te^{(ik-1)t}mathrm dt$$ which can be computed by integration by parts. A similar method should also work for $sin t e^{-|t|}$.
answered Jan 5 at 14:42
John DoeJohn Doe
11.1k11238
answered Jan 5 at 14:42
John DoeJohn Doe
11.1k11238
answered Jan 5 at 14:42
John DoeJohn Doe
11.1k11238
answered Jan 5 at 14:42
John DoeJohn Doe
11.1k11238
11.1k11238
add a comment |
add a comment |
$begingroup$
"Use a table"? Presumably they specify which table...
You could first find the FT of $e^{-|t|}$; that's much easier. Then presumably one of the entries in that table shows how to get the FT of $te^{-|t|}$ from the FT of $e^{-|t|}$.
answered Jan 5 at 15:59
David C. UllrichDavid C. Ullrich
59.4k43893
$endgroup$
add a comment |
$begingroup$
"Use a table"? Presumably they specify which table...
You could first find the FT of $e^{-|t|}$; that's much easier. Then presumably one of the entries in that table shows how to get the FT of $te^{-|t|}$ from the FT of $e^{-|t|}$.
answered Jan 5 at 15:59
David C. UllrichDavid C. Ullrich
59.4k43893
$endgroup$
add a comment |
$begingroup$
"Use a table"? Presumably they specify which table...
You could first find the FT of $e^{-|t|}$; that's much easier. Then presumably one of the entries in that table shows how to get the FT of $te^{-|t|}$ from the FT of $e^{-|t|}$.
answered Jan 5 at 15:59
David C. UllrichDavid C. Ullrich
59.4k43893
$endgroup$
"Use a table"? Presumably they specify which table...
You could first find the FT of $e^{-|t|}$; that's much easier. Then presumably one of the entries in that table shows how to get the FT of $te^{-|t|}$ from the FT of $e^{-|t|}$.
answered Jan 5 at 15:59
David C. UllrichDavid C. Ullrich
59.4k43893
answered Jan 5 at 15:59
David C. UllrichDavid C. Ullrich
59.4k43893
answered Jan 5 at 15:59
David C. UllrichDavid C. Ullrich
59.4k43893
answered Jan 5 at 15:59
David C. UllrichDavid C. Ullrich
59.4k43893
59.4k43893
add a comment |
add a comment |
$begingroup$
Your question was put on hold, the message above (and possibly comments) should give an explanation why. (In particular, this link might be useful.) You might try to edit your question to address these issues. Note that the next edit puts your post in the review queue, where users can vote whether to reopen it or leave it closed. (Therefore it would be good to avoid minor edits and improve your question as much as possible with the next edit.)
$endgroup$
– Martin Sleziak
Jan 7 at 18:52