- published: 19 Mar 2023
- views: 13221
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remove the playlistDiscrete-time Fourier Transform
- remove the playlistDiscrete-time Fourier Transform
Discrete-time Fourier transform
In mathematics, the discrete-time Fourier transform (DTFT) is a form of Fourier analysis that is applicable to the uniformly-spaced samples of a continuous function. The term discrete-time refers to the fact that the transform operates on discrete data (samples) whose interval often has units of time. From only the samples, it produces a function of frequency that is a periodic summation of the continuous Fourier transform of the original continuous function. Under certain theoretical conditions, described by the sampling theorem, the original continuous function can be recovered perfectly from the DTFT and thus from the original discrete samples. The DTFT itself is a continuous function of frequency, but discrete samples of it can be readily calculated via the discrete Fourier transform (DFT) (see Sampling the DTFT), which is by far the most common method of modern Fourier analysis.
Both transforms are invertible. The inverse DTFT is the original sampled data sequence. The inverse DFT is a periodic summation of the original sequence. The fast Fourier transform (FFT) is an algorithm for computing one cycle of the DFT, and its inverse produces one cycle of the inverse DFT.
This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Discrete-time_Fourier_transform
Podcasts:
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Discrete Time Fourier Transform (DTFT) explained visually
SUBSCRIBE : https://www.youtube.com/c/TheSiGuyEN?sub_confirmation=1 _________________________________________ Join this channel to get access to perks: https://www.youtube.com/channel/UCcTgnJE_RKa8-Qzx6lB78lg/join _______________ You can support the future videos : patreon: https://www.patreon.com/TheSiGuy0 paypal: paypal.me/TheSiGuy0 ____________________________ visit my website for more tutorials: https://www.thesiguy.com/ join the Reddit community: https://www.reddit.com/r/TheSiliconGuys/ Contact me (Discord) : https://www.discord.com/users/895236925127032852 Reddit: https://www.reddit.com/user/TheSiliconGuy/ facebook page https://www.facebook.com/thesiguyEN/ Discord Server: https://discord.gg/8qT8wNzu Facebook Group: https://www.facebook.com/groups/thesiguys ________________________...
published: 19 Mar 2023 -
(DTFT)Discrete Time Fourier Transform- (BASICS and CONCEPTS)
𝗗𝗢𝗪𝗡𝗟𝗢𝗔𝗗 𝗦𝗵𝗿𝗲𝗻𝗶𝗸 𝗝𝗮𝗶𝗻 - 𝗦𝘁𝘂𝗱𝘆 𝗦𝗶𝗺𝗽𝗹𝗶𝗳𝗶𝗲𝗱 (𝗔𝗽𝗽) : 📱Android app: https://play.google.com/store/apps/details?id=co.kevin.nxpgd&hl;=en_IN≷=US SIGNALS & SYSTEMS Books: Schaum’s: https://amzn.to/3YCXCRv Ramesh Babu: https://amzn.to/3S0mnFn Shrenik Jain Sir Courses: 1) Aptitude : https://nxpgd.courses.store/137934?filterId=1&sortId;=7 2) Engineering Maths: https://nxpgd.courses.store/148278?filterId=1&sortId;=7 3) GATE All in One: https://nxpgd.courses.store/153807?filterId=1&sortId;=7 4) Resume: https://nxpgd.courses.store/223126?filterId=1&sortId;=7 5) Job Updates Community: https://nxpgd.courses.store/356259?filterId=1&sortId;=7 6) Signals and System PYQs : https://nxpgd.courses.store/301422?filterId=1&sortId;=7
published: 11 Jan 2018 -
How are the Fourier Series, Fourier Transform, DTFT, DFT, FFT, LT and ZT Related?
Explains how the Fourier Series (FS), Fourier Transform (FT), Discrete Time Fourier Transform (DTFT), Discrete Fourier Transform (DFT), Fast Fourier Transform (FFT), Laplace Transform (LT) and Z-Transform (ZT) are all Related? (* Note that for the DFT, unfortunately I forgot to say the last part of the explanation. I made the point that the DFT effectively assumes that the finite-length sampled signal is actually one period of an infinitely long periodic signal. I then drew the Fourier transform for the infinitely long discrete time signal. What I forgot to do, was to then say that the output of the DFT is only the finite part of that Fourier transform between omega=0 and omega=2pi. And that it is a discrete sequence with the same number of elements as the number of samples in the time do...
published: 30 Mar 2021 -
Discrete Fourier Transform - Simple Step by Step
Easy explanation of the Fourier transform and the Discrete Fourier transform, which takes any signal measured in time and extracts the frequencies in that signal. This is a work in progress, let me know if anything doesn't make sense, and I will update the video to make that clearer. Thanks for watching!
published: 03 Aug 2015 -
The Discrete Fourier Transform: Sampling the DTFT
The relationship between the discrete Fourier transform (DFT) and the discrete-time Fourier transform (DTFT).
published: 30 Dec 2012 -
Definition of DTFT | Discrete Time Fourier Transform (DTFT) | Signals and Systems
Discover the essence of Discrete Time Fourier Transform (DTFT) with our comprehensive breakdown. Dive into the core definition of DTFT in Signals and Systems, unraveling its significance in signal processing. Explore the fundamental concepts, understand its application, and grasp its role in analyzing discrete-time signals. Join us in unraveling the complexities, simplifying DTFT for an enriched understanding. Elevate your knowledge and gain clarity on this pivotal aspect of signal analysis. Delve into this tutorial for a clear, concise exploration of DTFT's role in understanding the world of Signals and Systems. Welcome to Ekeeda Academic Subscription, your one-stop solution for Engineering Academic preparation. We will cover the entire syllabus, strategy, updates, and notifications w...
published: 06 Apr 2022 -
Lecture 11, Discrete-Time Fourier Transform | MIT RES.6.007 Signals and Systems, Spring 2011
Lecture 11, Discrete-Time Fourier Transform Instructor: Alan V. Oppenheim View the complete course: http://ocw.mit.edu/RES-6.007S11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
published: 23 Aug 2011 -
Continuous Time and Discrete Time Fourier Transforms
This video explains how the discrete time Fourier Transform relates to the continuous time Fourier Transform. * If you would like to support me to make these videos, you can join the Channel Membership, by hitting the "Join" button below the video, and making a contribution to support the cost of a coffee a month. It would be very much appreciated. Check out my 'search for signals in everyday life', by following my social media feeds: Facebook: https://www.facebook.com/profile.php?id=100091651540952 Instagram: https://www.instagram.com/iainexplains/ Website: http://www.iaincollings.com Related videos: (see: http://www.iaincollings.com) • What is the Fourier Transform? https://youtu.be/G74t5az6PLo • What is the Fourier Transform used for? https://youtu.be/VtbRelEnms8 • Fourier Trans...
published: 15 Oct 2019 -
DSP Lecture 7: The Discrete-Time Fourier Transform
ECSE-4530 Digital Signal Processing Rich Radke, Rensselaer Polytechnic Institute Lecture 7: The Discrete-Time Fourier Transform (9/18/14) 0:00:02 The Discrete-Time Fourier Transform (DTFT) 0:00:16 How are the CTFT and DTFT different? 0:03:10 DTFTs are 2pi-periodic 0:07:25 Deriving the inverse DTFT 0:12:56 The DTFT and IDTFT formulas 0:13:39 Relationships between the FS, FT, and DTFT 0:18:39 The 4 kinds of Fourier Transforms 0:20:36 How does the DTFT converge? 0:24:00 Inverse DTFT of a pulse (i.e., an ideal low pass filter) 0:23:59 DTFT examples 0:27:24 Delta function 0:29:55 One-sided exponential 0:35:12 Time-domain pulse 0:42:06 DTFT convolution property 0:45:54 LTI systems and sinusoidal inputs: new frequencies can't be introduced 0:48:49 Response of a real LTI system t...
published: 22 Sep 2014 -
#1 (DTFT)Discrete Time Fourier Transform- (examples and solutions)
𝗗𝗢𝗪𝗡𝗟𝗢𝗔𝗗 𝗦𝗵𝗿𝗲𝗻𝗶𝗸 𝗝𝗮𝗶𝗻 - 𝗦𝘁𝘂𝗱𝘆 𝗦𝗶𝗺𝗽𝗹𝗶𝗳𝗶𝗲𝗱 (𝗔𝗽𝗽) : 📱Android app: https://play.google.com/store/apps/details?id=co.kevin.nxpgd&hl;=en_IN≷=US SIGNALS & SYSTEMS Books: Schaum’s: https://amzn.to/3YCXCRv Ramesh Babu: https://amzn.to/3S0mnFn
published: 11 Jan 2018
8:57
Discrete Time Fourier Transform (DTFT) explained visually
- Order: Reorder
- Duration: 8:57
- Uploaded Date: 19 Mar 2023
- views: 13221
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00:00 Recall from the previous video
00:43 Discrete time signal
1:17 Discrete time Fourier Transform (DTFT)
2:40 periodicity in the frequency domain
4:05 Effect of sample time on periodicity of the frequency domain
5:02 Discrete Frequency Domain Signal
5:21 Discrete signal in the frequency domain is periodic in time domain
6:31 Effect of sample frequency on periodicity of the time domain
7:13 why there's no imaginary part
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The previous video in this playlist: https://youtu.be/kK2nIz0R8eA
https://wn.com/Discrete_Time_Fourier_Transform_(Dtft)_Explained_Visually
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_________________________________________________
00:00 Recall from the previous video
00:43 Discrete time signal
1:17 Discrete time Fourier Transform (DTFT)
2:40 periodicity in the frequency domain
4:05 Effect of sample time on periodicity of the frequency domain
5:02 Discrete Frequency Domain Signal
5:21 Discrete signal in the frequency domain is periodic in time domain
6:31 Effect of sample frequency on periodicity of the time domain
7:13 why there's no imaginary part
______________________________________________________
The previous video in this playlist: https://youtu.be/kK2nIz0R8eA
6:32
(DTFT)Discrete Time Fourier Transform- (BASICS and CONCEPTS)
- Order: Reorder
- Duration: 6:32
- Uploaded Date: 11 Jan 2018
- views: 239341
𝗗𝗢𝗪𝗡𝗟𝗢𝗔𝗗 𝗦𝗵𝗿𝗲𝗻𝗶𝗸 𝗝𝗮𝗶𝗻 - 𝗦𝘁𝘂𝗱𝘆 𝗦𝗶𝗺𝗽𝗹𝗶𝗳𝗶𝗲𝗱 (𝗔𝗽𝗽) :
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SIGNALS & SYSTEMS Bo...
𝗗𝗢𝗪𝗡𝗟𝗢𝗔𝗗 𝗦𝗵𝗿𝗲𝗻𝗶𝗸 𝗝𝗮𝗶𝗻 - 𝗦𝘁𝘂𝗱𝘆 𝗦𝗶𝗺𝗽𝗹𝗶𝗳𝗶𝗲𝗱 (𝗔𝗽𝗽) :
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https://wn.com/(Dtft)Discrete_Time_Fourier_Transform_(Basics_And_Concepts)
𝗗𝗢𝗪𝗡𝗟𝗢𝗔𝗗 𝗦𝗵𝗿𝗲𝗻𝗶𝗸 𝗝𝗮𝗶𝗻 - 𝗦𝘁𝘂𝗱𝘆 𝗦𝗶𝗺𝗽𝗹𝗶𝗳𝗶𝗲𝗱 (𝗔𝗽𝗽) :
📱Android app: https://play.google.com/store/apps/details?id=co.kevin.nxpgd&hl;=en_IN≷=US
SIGNALS & SYSTEMS Books:
Schaum’s: https://amzn.to/3YCXCRv
Ramesh Babu: https://amzn.to/3S0mnFn
Shrenik Jain Sir Courses:
1) Aptitude : https://nxpgd.courses.store/137934?filterId=1&sortId;=7
2) Engineering Maths: https://nxpgd.courses.store/148278?filterId=1&sortId;=7
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6) Signals and System PYQs : https://nxpgd.courses.store/301422?filterId=1&sortId;=7
- published: 11 Jan 2018
- views: 239341
22:47
How are the Fourier Series, Fourier Transform, DTFT, DFT, FFT, LT and ZT Related?
- Order: Reorder
- Duration: 22:47
- Uploaded Date: 30 Mar 2021
- views: 94882
Explains how the Fourier Series (FS), Fourier Transform (FT), Discrete Time Fourier Transform (DTFT), Discrete Fourier Transform (DFT), Fast Fourier Transform (...
Explains how the Fourier Series (FS), Fourier Transform (FT), Discrete Time Fourier Transform (DTFT), Discrete Fourier Transform (DFT), Fast Fourier Transform (FFT), Laplace Transform (LT) and Z-Transform (ZT) are all Related?
(* Note that for the DFT, unfortunately I forgot to say the last part of the explanation. I made the point that the DFT effectively assumes that the finite-length sampled signal is actually one period of an infinitely long periodic signal. I then drew the Fourier transform for the infinitely long discrete time signal. What I forgot to do, was to then say that the output of the DFT is only the finite part of that Fourier transform between omega=0 and omega=2pi. And that it is a discrete sequence with the same number of elements as the number of samples in the time domain sampled signal (and that the delta functions are finite). I fixed it on the summary sheet on my website: https://drive.google.com/file/d/1fh7TzeT4HCeoRECnHiQYmjFRSeWLYnDI/view . For more details see: "How does the Discrete Fourier Transform DFT relate to Real Frequencies?" https://youtu.be/pIFz84oj9cA )
* If you would like to support me to make these videos, you can join the Channel Membership, by hitting the "Join" button below the video, and making a contribution to support the cost of a coffee a month. It would be very much appreciated.
Check out my search for signals in everyday life, by following my social media feeds:
Facebook: https://www.facebook.com/profile.php?id=100091651540952
Instagram: https://www.instagram.com/iainexplains/
Related videos: (see http://www.iaincollings.com)
• Fourier Series and Eigen Functions of LTI Systems https://youtu.be/gRq3K4ZQKi8
• What is the Fourier Transform? https://youtu.be/G74t5az6PLo
• What is the Fourier Transform used for? https://youtu.be/VtbRelEnms8
• Fourier Transform Equation Explained https://youtu.be/8V6Hi-kP9EE
• Typical Exam Question on Fourier Transform Properties https://youtu.be/hPZ08BdjHL4
• Discrete Time Basis Functions https://youtu.be/P7q2YMQiat8
• How does the Discrete Fourier Transform DFT relate to Real Frequencies? https://youtu.be/pIFz84oj9cA
• Laplace Transform Equation Explained https://youtu.be/F_XmgIryugU
• Laplace Transform Region of Convergence Explained https://youtu.be/SexBL1OlhhU
• What is the Z Transform? https://youtu.be/n6MI-nEZoL0
• Z Transform Region of Convergence Explained https://youtu.be/uq_qv3Spzbs
• Is Phase important in the Fourier Transform? https://youtu.be/WyFO6yBQ0Cg
For a full list of Videos and accompanying Summary Sheets, see the associated website: http://www.iaincollings.com
.
https://wn.com/How_Are_The_Fourier_Series,_Fourier_Transform,_Dtft,_Dft,_Fft,_Lt_And_Zt_Related
Explains how the Fourier Series (FS), Fourier Transform (FT), Discrete Time Fourier Transform (DTFT), Discrete Fourier Transform (DFT), Fast Fourier Transform (FFT), Laplace Transform (LT) and Z-Transform (ZT) are all Related?
(* Note that for the DFT, unfortunately I forgot to say the last part of the explanation. I made the point that the DFT effectively assumes that the finite-length sampled signal is actually one period of an infinitely long periodic signal. I then drew the Fourier transform for the infinitely long discrete time signal. What I forgot to do, was to then say that the output of the DFT is only the finite part of that Fourier transform between omega=0 and omega=2pi. And that it is a discrete sequence with the same number of elements as the number of samples in the time domain sampled signal (and that the delta functions are finite). I fixed it on the summary sheet on my website: https://drive.google.com/file/d/1fh7TzeT4HCeoRECnHiQYmjFRSeWLYnDI/view . For more details see: "How does the Discrete Fourier Transform DFT relate to Real Frequencies?" https://youtu.be/pIFz84oj9cA )
* If you would like to support me to make these videos, you can join the Channel Membership, by hitting the "Join" button below the video, and making a contribution to support the cost of a coffee a month. It would be very much appreciated.
Check out my search for signals in everyday life, by following my social media feeds:
Facebook: https://www.facebook.com/profile.php?id=100091651540952
Instagram: https://www.instagram.com/iainexplains/
Related videos: (see http://www.iaincollings.com)
• Fourier Series and Eigen Functions of LTI Systems https://youtu.be/gRq3K4ZQKi8
• What is the Fourier Transform? https://youtu.be/G74t5az6PLo
• What is the Fourier Transform used for? https://youtu.be/VtbRelEnms8
• Fourier Transform Equation Explained https://youtu.be/8V6Hi-kP9EE
• Typical Exam Question on Fourier Transform Properties https://youtu.be/hPZ08BdjHL4
• Discrete Time Basis Functions https://youtu.be/P7q2YMQiat8
• How does the Discrete Fourier Transform DFT relate to Real Frequencies? https://youtu.be/pIFz84oj9cA
• Laplace Transform Equation Explained https://youtu.be/F_XmgIryugU
• Laplace Transform Region of Convergence Explained https://youtu.be/SexBL1OlhhU
• What is the Z Transform? https://youtu.be/n6MI-nEZoL0
• Z Transform Region of Convergence Explained https://youtu.be/uq_qv3Spzbs
• Is Phase important in the Fourier Transform? https://youtu.be/WyFO6yBQ0Cg
For a full list of Videos and accompanying Summary Sheets, see the associated website: http://www.iaincollings.com
.
- published: 30 Mar 2021
- views: 94882
10:35
Discrete Fourier Transform - Simple Step by Step
- Order: Reorder
- Duration: 10:35
- Uploaded Date: 03 Aug 2015
- views: 885405
Easy explanation of the Fourier transform and the Discrete Fourier transform, which takes any signal measured in time and extracts the frequencies in that signa...
Easy explanation of the Fourier transform and the Discrete Fourier transform, which takes any signal measured in time and extracts the frequencies in that signal.
This is a work in progress, let me know if anything doesn't make sense, and I will update the video to make that clearer. Thanks for watching!
https://wn.com/Discrete_Fourier_Transform_Simple_Step_By_Step
Easy explanation of the Fourier transform and the Discrete Fourier transform, which takes any signal measured in time and extracts the frequencies in that signal.
This is a work in progress, let me know if anything doesn't make sense, and I will update the video to make that clearer. Thanks for watching!
- published: 03 Aug 2015
- views: 885405
15:24
The Discrete Fourier Transform: Sampling the DTFT
- Order: Reorder
- Duration: 15:24
- Uploaded Date: 30 Dec 2012
- views: 196709
The relationship between the discrete Fourier transform (DFT) and the discrete-time Fourier transform (DTFT).
The relationship between the discrete Fourier transform (DFT) and the discrete-time Fourier transform (DTFT).
https://wn.com/The_Discrete_Fourier_Transform_Sampling_The_Dtft
The relationship between the discrete Fourier transform (DFT) and the discrete-time Fourier transform (DTFT).
- published: 30 Dec 2012
- views: 196709
4:06
Definition of DTFT | Discrete Time Fourier Transform (DTFT) | Signals and Systems
- Order: Reorder
- Duration: 4:06
- Uploaded Date: 06 Apr 2022
- views: 6179
Discover the essence of Discrete Time Fourier Transform (DTFT) with our comprehensive breakdown. Dive into the core definition of DTFT in Signals and Systems, u...
Discover the essence of Discrete Time Fourier Transform (DTFT) with our comprehensive breakdown. Dive into the core definition of DTFT in Signals and Systems, unraveling its significance in signal processing. Explore the fundamental concepts, understand its application, and grasp its role in analyzing discrete-time signals. Join us in unraveling the complexities, simplifying DTFT for an enriched understanding. Elevate your knowledge and gain clarity on this pivotal aspect of signal analysis. Delve into this tutorial for a clear, concise exploration of DTFT's role in understanding the world of Signals and Systems.
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https://wn.com/Definition_Of_Dtft_|_Discrete_Time_Fourier_Transform_(Dtft)_|_Signals_And_Systems
Discover the essence of Discrete Time Fourier Transform (DTFT) with our comprehensive breakdown. Dive into the core definition of DTFT in Signals and Systems, unraveling its significance in signal processing. Explore the fundamental concepts, understand its application, and grasp its role in analyzing discrete-time signals. Join us in unraveling the complexities, simplifying DTFT for an enriched understanding. Elevate your knowledge and gain clarity on this pivotal aspect of signal analysis. Delve into this tutorial for a clear, concise exploration of DTFT's role in understanding the world of Signals and Systems.
Welcome to Ekeeda Academic Subscription, your one-stop solution for Engineering Academic preparation.
We will cover the entire syllabus, strategy, updates, and notifications which will help you to crack the Engineering Academic exams.
👉 Download Ekeeda Application & Learn from the best professors with 10+ years of experience. Subscribe to a Course or Start a Free Trial of Package.
✤ Download the Ekeeda - Learning App for Engineering Courses App here:
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Get FREE Trial for GATE 2023 Exam with Ekeeda GATE - 20000+ Lectures & Notes, strategy, updates, and notifications which will help you to crack your GATE exam.
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- published: 06 Apr 2022
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55:59
Lecture 11, Discrete-Time Fourier Transform | MIT RES.6.007 Signals and Systems, Spring 2011
- Order: Reorder
- Duration: 55:59
- Uploaded Date: 23 Aug 2011
- views: 67545
Lecture 11, Discrete-Time Fourier Transform
Instructor: Alan V. Oppenheim
View the complete course: http://ocw.mit.edu/RES-6.007S11
License: Creative C...
Lecture 11, Discrete-Time Fourier Transform
Instructor: Alan V. Oppenheim
View the complete course: http://ocw.mit.edu/RES-6.007S11
License: Creative Commons BY-NC-SA
More information at http://ocw.mit.edu/terms
More courses at http://ocw.mit.edu
https://wn.com/Lecture_11,_Discrete_Time_Fourier_Transform_|_Mit_Res.6.007_Signals_And_Systems,_Spring_2011
Lecture 11, Discrete-Time Fourier Transform
Instructor: Alan V. Oppenheim
View the complete course: http://ocw.mit.edu/RES-6.007S11
License: Creative Commons BY-NC-SA
More information at http://ocw.mit.edu/terms
More courses at http://ocw.mit.edu
- published: 23 Aug 2011
- views: 67545
9:24
Continuous Time and Discrete Time Fourier Transforms
- Order: Reorder
- Duration: 9:24
- Uploaded Date: 15 Oct 2019
- views: 32007
This video explains how the discrete time Fourier Transform relates to the continuous time Fourier Transform.
* If you would like to support me to make these v...
This video explains how the discrete time Fourier Transform relates to the continuous time Fourier Transform.
* If you would like to support me to make these videos, you can join the Channel Membership, by hitting the "Join" button below the video, and making a contribution to support the cost of a coffee a month. It would be very much appreciated.
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Related videos: (see: http://www.iaincollings.com)
• What is the Fourier Transform? https://youtu.be/G74t5az6PLo
• What is the Fourier Transform used for? https://youtu.be/VtbRelEnms8
• Fourier Transform Equation Explained https://youtu.be/8V6Hi-kP9EE
• How are the Fourier Series, Fourier Transform, DTFT, DFT, FFT, LT and ZT Related? https://youtu.be/2kMSLqAbLj4
• Fourier Transform of Cosine Function: https://youtu.be/McITNfo3LKc
• Fourier Transform of Cosine with Phase Shift: https://youtu.be/97eKhJwf9Mk
For a full list of Videos and Summary Sheets, goto: http://www.iaincollings.com
.
https://wn.com/Continuous_Time_And_Discrete_Time_Fourier_Transforms
This video explains how the discrete time Fourier Transform relates to the continuous time Fourier Transform.
* If you would like to support me to make these videos, you can join the Channel Membership, by hitting the "Join" button below the video, and making a contribution to support the cost of a coffee a month. It would be very much appreciated.
Check out my 'search for signals in everyday life', by following my social media feeds:
Facebook: https://www.facebook.com/profile.php?id=100091651540952
Instagram: https://www.instagram.com/iainexplains/
Website: http://www.iaincollings.com
Related videos: (see: http://www.iaincollings.com)
• What is the Fourier Transform? https://youtu.be/G74t5az6PLo
• What is the Fourier Transform used for? https://youtu.be/VtbRelEnms8
• Fourier Transform Equation Explained https://youtu.be/8V6Hi-kP9EE
• How are the Fourier Series, Fourier Transform, DTFT, DFT, FFT, LT and ZT Related? https://youtu.be/2kMSLqAbLj4
• Fourier Transform of Cosine Function: https://youtu.be/McITNfo3LKc
• Fourier Transform of Cosine with Phase Shift: https://youtu.be/97eKhJwf9Mk
For a full list of Videos and Summary Sheets, goto: http://www.iaincollings.com
.
- published: 15 Oct 2019
- views: 32007
1:06:54
DSP Lecture 7: The Discrete-Time Fourier Transform
- Order: Reorder
- Duration: 1:06:54
- Uploaded Date: 22 Sep 2014
- views: 64150
ECSE-4530 Digital Signal Processing
Rich Radke, Rensselaer Polytechnic Institute
Lecture 7: The Discrete-Time Fourier Transform (9/18/14)
0:00:02 The Discret...
ECSE-4530 Digital Signal Processing
Rich Radke, Rensselaer Polytechnic Institute
Lecture 7: The Discrete-Time Fourier Transform (9/18/14)
0:00:02 The Discrete-Time Fourier Transform (DTFT)
0:00:16 How are the CTFT and DTFT different?
0:03:10 DTFTs are 2pi-periodic
0:07:25 Deriving the inverse DTFT
0:12:56 The DTFT and IDTFT formulas
0:13:39 Relationships between the FS, FT, and DTFT
0:18:39 The 4 kinds of Fourier Transforms
0:20:36 How does the DTFT converge?
0:24:00 Inverse DTFT of a pulse (i.e., an ideal low pass filter)
0:23:59 DTFT examples
0:27:24 Delta function
0:29:55 One-sided exponential
0:35:12 Time-domain pulse
0:42:06 DTFT convolution property
0:45:54 LTI systems and sinusoidal inputs: new frequencies can't be introduced
0:48:49 Response of a real LTI system to a real cosine
0:50:39 Example: system responses involving pure cosines
0:53:41 Magnitude and phase response
0:56:09 Ideal filters in the frequency domain
0:59:02 Why is linear phase response desirable?
1:02:24 Why can't we have zero delay in the real world?
Follows Sections 4.2.3 and 4.4 of the textbook (Proakis and Manolakis, 4th ed.).
https://wn.com/Dsp_Lecture_7_The_Discrete_Time_Fourier_Transform
ECSE-4530 Digital Signal Processing
Rich Radke, Rensselaer Polytechnic Institute
Lecture 7: The Discrete-Time Fourier Transform (9/18/14)
0:00:02 The Discrete-Time Fourier Transform (DTFT)
0:00:16 How are the CTFT and DTFT different?
0:03:10 DTFTs are 2pi-periodic
0:07:25 Deriving the inverse DTFT
0:12:56 The DTFT and IDTFT formulas
0:13:39 Relationships between the FS, FT, and DTFT
0:18:39 The 4 kinds of Fourier Transforms
0:20:36 How does the DTFT converge?
0:24:00 Inverse DTFT of a pulse (i.e., an ideal low pass filter)
0:23:59 DTFT examples
0:27:24 Delta function
0:29:55 One-sided exponential
0:35:12 Time-domain pulse
0:42:06 DTFT convolution property
0:45:54 LTI systems and sinusoidal inputs: new frequencies can't be introduced
0:48:49 Response of a real LTI system to a real cosine
0:50:39 Example: system responses involving pure cosines
0:53:41 Magnitude and phase response
0:56:09 Ideal filters in the frequency domain
0:59:02 Why is linear phase response desirable?
1:02:24 Why can't we have zero delay in the real world?
Follows Sections 4.2.3 and 4.4 of the textbook (Proakis and Manolakis, 4th ed.).
- published: 22 Sep 2014
- views: 64150
5:17
#1 (DTFT)Discrete Time Fourier Transform- (examples and solutions)
- Order: Reorder
- Duration: 5:17
- Uploaded Date: 11 Jan 2018
- views: 148312
𝗗𝗢𝗪𝗡𝗟𝗢𝗔𝗗 𝗦𝗵𝗿𝗲𝗻𝗶𝗸 𝗝𝗮𝗶𝗻 - 𝗦𝘁𝘂𝗱𝘆 𝗦𝗶𝗺𝗽𝗹𝗶𝗳𝗶𝗲𝗱 (𝗔𝗽𝗽) :
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𝗗𝗢𝗪𝗡𝗟𝗢𝗔𝗗 𝗦𝗵𝗿𝗲𝗻𝗶𝗸 𝗝𝗮𝗶𝗻 - 𝗦𝘁𝘂𝗱𝘆 𝗦𝗶𝗺𝗽𝗹𝗶𝗳𝗶𝗲𝗱 (𝗔𝗽𝗽) :
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https://wn.com/1_(Dtft)Discrete_Time_Fourier_Transform_(Examples_And_Solutions)
𝗗𝗢𝗪𝗡𝗟𝗢𝗔𝗗 𝗦𝗵𝗿𝗲𝗻𝗶𝗸 𝗝𝗮𝗶𝗻 - 𝗦𝘁𝘂𝗱𝘆 𝗦𝗶𝗺𝗽𝗹𝗶𝗳𝗶𝗲𝗱 (𝗔𝗽𝗽) :
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Ramesh Babu: https://amzn.to/3S0mnFn
- published: 11 Jan 2018
- views: 148312
PLAYLIST TIME:
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8:57
Discrete Time Fourier Transform (DTFT) explained visually
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published: 19 Mar 2023
Discrete Time Fourier Transform (DTFT) explained visually
Discrete Time Fourier Transform (DTFT) explained visually
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- views: 13221
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00:00 Recall from the previous video
00:43 Discrete time signal
1:17 Discrete time Fourier Transform (DTFT)
2:40 periodicity in the frequency domain
4:05 Effect of sample time on periodicity of the frequency domain
5:02 Discrete Frequency Domain Signal
5:21 Discrete signal in the frequency domain is periodic in time domain
6:31 Effect of sample frequency on periodicity of the time domain
7:13 why there's no imaginary part
______________________________________________________
The previous video in this playlist: https://youtu.be/kK2nIz0R8eA
6:32
(DTFT)Discrete Time Fourier Transform- (BASICS and CONCEPTS)
𝗗𝗢𝗪𝗡𝗟𝗢𝗔𝗗 𝗦𝗵𝗿𝗲𝗻𝗶𝗸 𝗝𝗮𝗶𝗻 - 𝗦𝘁𝘂𝗱𝘆 𝗦𝗶𝗺𝗽𝗹𝗶𝗳𝗶𝗲𝗱 (𝗔𝗽𝗽) :
📱Android app: https://play.google.com/sto...
published: 11 Jan 2018
(DTFT)Discrete Time Fourier Transform- (BASICS and CONCEPTS)
(DTFT)Discrete Time Fourier Transform- (BASICS and CONCEPTS)
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- published: 11 Jan 2018
- views: 239341
𝗗𝗢𝗪𝗡𝗟𝗢𝗔𝗗 𝗦𝗵𝗿𝗲𝗻𝗶𝗸 𝗝𝗮𝗶𝗻 - 𝗦𝘁𝘂𝗱𝘆 𝗦𝗶𝗺𝗽𝗹𝗶𝗳𝗶𝗲𝗱 (𝗔𝗽𝗽) :
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22:47
How are the Fourier Series, Fourier Transform, DTFT, DFT, FFT, LT and ZT Related?
Explains how the Fourier Series (FS), Fourier Transform (FT), Discrete Time Fourier Transf...
published: 30 Mar 2021
How are the Fourier Series, Fourier Transform, DTFT, DFT, FFT, LT and ZT Related?
How are the Fourier Series, Fourier Transform, DTFT, DFT, FFT, LT and ZT Related?
- Report rights infringement
- published: 30 Mar 2021
- views: 94882
Explains how the Fourier Series (FS), Fourier Transform (FT), Discrete Time Fourier Transform (DTFT), Discrete Fourier Transform (DFT), Fast Fourier Transform (FFT), Laplace Transform (LT) and Z-Transform (ZT) are all Related?
(* Note that for the DFT, unfortunately I forgot to say the last part of the explanation. I made the point that the DFT effectively assumes that the finite-length sampled signal is actually one period of an infinitely long periodic signal. I then drew the Fourier transform for the infinitely long discrete time signal. What I forgot to do, was to then say that the output of the DFT is only the finite part of that Fourier transform between omega=0 and omega=2pi. And that it is a discrete sequence with the same number of elements as the number of samples in the time domain sampled signal (and that the delta functions are finite). I fixed it on the summary sheet on my website: https://drive.google.com/file/d/1fh7TzeT4HCeoRECnHiQYmjFRSeWLYnDI/view . For more details see: "How does the Discrete Fourier Transform DFT relate to Real Frequencies?" https://youtu.be/pIFz84oj9cA )
* If you would like to support me to make these videos, you can join the Channel Membership, by hitting the "Join" button below the video, and making a contribution to support the cost of a coffee a month. It would be very much appreciated.
Check out my search for signals in everyday life, by following my social media feeds:
Facebook: https://www.facebook.com/profile.php?id=100091651540952
Instagram: https://www.instagram.com/iainexplains/
Related videos: (see http://www.iaincollings.com)
• Fourier Series and Eigen Functions of LTI Systems https://youtu.be/gRq3K4ZQKi8
• What is the Fourier Transform? https://youtu.be/G74t5az6PLo
• What is the Fourier Transform used for? https://youtu.be/VtbRelEnms8
• Fourier Transform Equation Explained https://youtu.be/8V6Hi-kP9EE
• Typical Exam Question on Fourier Transform Properties https://youtu.be/hPZ08BdjHL4
• Discrete Time Basis Functions https://youtu.be/P7q2YMQiat8
• How does the Discrete Fourier Transform DFT relate to Real Frequencies? https://youtu.be/pIFz84oj9cA
• Laplace Transform Equation Explained https://youtu.be/F_XmgIryugU
• Laplace Transform Region of Convergence Explained https://youtu.be/SexBL1OlhhU
• What is the Z Transform? https://youtu.be/n6MI-nEZoL0
• Z Transform Region of Convergence Explained https://youtu.be/uq_qv3Spzbs
• Is Phase important in the Fourier Transform? https://youtu.be/WyFO6yBQ0Cg
For a full list of Videos and accompanying Summary Sheets, see the associated website: http://www.iaincollings.com
.
10:35
Discrete Fourier Transform - Simple Step by Step
Easy explanation of the Fourier transform and the Discrete Fourier transform, which takes ...
published: 03 Aug 2015
Discrete Fourier Transform - Simple Step by Step
Discrete Fourier Transform - Simple Step by Step
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- published: 03 Aug 2015
- views: 885405
Easy explanation of the Fourier transform and the Discrete Fourier transform, which takes any signal measured in time and extracts the frequencies in that signal.
This is a work in progress, let me know if anything doesn't make sense, and I will update the video to make that clearer. Thanks for watching!
15:24
The Discrete Fourier Transform: Sampling the DTFT
The relationship between the discrete Fourier transform (DFT) and the discrete-time Fourie...
published: 30 Dec 2012
The Discrete Fourier Transform: Sampling the DTFT
The Discrete Fourier Transform: Sampling the DTFT
- Report rights infringement
- published: 30 Dec 2012
- views: 196709
The relationship between the discrete Fourier transform (DFT) and the discrete-time Fourier transform (DTFT).
4:06
Definition of DTFT | Discrete Time Fourier Transform (DTFT) | Signals and Systems
Discover the essence of Discrete Time Fourier Transform (DTFT) with our comprehensive brea...
published: 06 Apr 2022
Definition of DTFT | Discrete Time Fourier Transform (DTFT) | Signals and Systems
Definition of DTFT | Discrete Time Fourier Transform (DTFT) | Signals and Systems
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- published: 06 Apr 2022
- views: 6179
Discover the essence of Discrete Time Fourier Transform (DTFT) with our comprehensive breakdown. Dive into the core definition of DTFT in Signals and Systems, unraveling its significance in signal processing. Explore the fundamental concepts, understand its application, and grasp its role in analyzing discrete-time signals. Join us in unraveling the complexities, simplifying DTFT for an enriched understanding. Elevate your knowledge and gain clarity on this pivotal aspect of signal analysis. Delve into this tutorial for a clear, concise exploration of DTFT's role in understanding the world of Signals and Systems.
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55:59
Lecture 11, Discrete-Time Fourier Transform | MIT RES.6.007 Signals and Systems, Spring 2011
Lecture 11, Discrete-Time Fourier Transform
Instructor: Alan V. Oppenheim
View the c...
published: 23 Aug 2011
Lecture 11, Discrete-Time Fourier Transform | MIT RES.6.007 Signals and Systems, Spring 2011
Lecture 11, Discrete-Time Fourier Transform | MIT RES.6.007 Signals and Systems, Spring 2011
- Report rights infringement
- published: 23 Aug 2011
- views: 67545
Lecture 11, Discrete-Time Fourier Transform
Instructor: Alan V. Oppenheim
View the complete course: http://ocw.mit.edu/RES-6.007S11
License: Creative Commons BY-NC-SA
More information at http://ocw.mit.edu/terms
More courses at http://ocw.mit.edu
9:24
Continuous Time and Discrete Time Fourier Transforms
This video explains how the discrete time Fourier Transform relates to the continuous time...
published: 15 Oct 2019
Continuous Time and Discrete Time Fourier Transforms
Continuous Time and Discrete Time Fourier Transforms
- Report rights infringement
- published: 15 Oct 2019
- views: 32007
This video explains how the discrete time Fourier Transform relates to the continuous time Fourier Transform.
* If you would like to support me to make these videos, you can join the Channel Membership, by hitting the "Join" button below the video, and making a contribution to support the cost of a coffee a month. It would be very much appreciated.
Check out my 'search for signals in everyday life', by following my social media feeds:
Facebook: https://www.facebook.com/profile.php?id=100091651540952
Instagram: https://www.instagram.com/iainexplains/
Website: http://www.iaincollings.com
Related videos: (see: http://www.iaincollings.com)
• What is the Fourier Transform? https://youtu.be/G74t5az6PLo
• What is the Fourier Transform used for? https://youtu.be/VtbRelEnms8
• Fourier Transform Equation Explained https://youtu.be/8V6Hi-kP9EE
• How are the Fourier Series, Fourier Transform, DTFT, DFT, FFT, LT and ZT Related? https://youtu.be/2kMSLqAbLj4
• Fourier Transform of Cosine Function: https://youtu.be/McITNfo3LKc
• Fourier Transform of Cosine with Phase Shift: https://youtu.be/97eKhJwf9Mk
For a full list of Videos and Summary Sheets, goto: http://www.iaincollings.com
.
1:06:54
DSP Lecture 7: The Discrete-Time Fourier Transform
ECSE-4530 Digital Signal Processing
Rich Radke, Rensselaer Polytechnic Institute
Lecture ...
published: 22 Sep 2014
DSP Lecture 7: The Discrete-Time Fourier Transform
DSP Lecture 7: The Discrete-Time Fourier Transform
- Report rights infringement
- published: 22 Sep 2014
- views: 64150
ECSE-4530 Digital Signal Processing
Rich Radke, Rensselaer Polytechnic Institute
Lecture 7: The Discrete-Time Fourier Transform (9/18/14)
0:00:02 The Discrete-Time Fourier Transform (DTFT)
0:00:16 How are the CTFT and DTFT different?
0:03:10 DTFTs are 2pi-periodic
0:07:25 Deriving the inverse DTFT
0:12:56 The DTFT and IDTFT formulas
0:13:39 Relationships between the FS, FT, and DTFT
0:18:39 The 4 kinds of Fourier Transforms
0:20:36 How does the DTFT converge?
0:24:00 Inverse DTFT of a pulse (i.e., an ideal low pass filter)
0:23:59 DTFT examples
0:27:24 Delta function
0:29:55 One-sided exponential
0:35:12 Time-domain pulse
0:42:06 DTFT convolution property
0:45:54 LTI systems and sinusoidal inputs: new frequencies can't be introduced
0:48:49 Response of a real LTI system to a real cosine
0:50:39 Example: system responses involving pure cosines
0:53:41 Magnitude and phase response
0:56:09 Ideal filters in the frequency domain
0:59:02 Why is linear phase response desirable?
1:02:24 Why can't we have zero delay in the real world?
Follows Sections 4.2.3 and 4.4 of the textbook (Proakis and Manolakis, 4th ed.).
5:17
#1 (DTFT)Discrete Time Fourier Transform- (examples and solutions)
𝗗𝗢𝗪𝗡𝗟𝗢𝗔𝗗 𝗦𝗵𝗿𝗲𝗻𝗶𝗸 𝗝𝗮𝗶𝗻 - 𝗦𝘁𝘂𝗱𝘆 𝗦𝗶𝗺𝗽𝗹𝗶𝗳𝗶𝗲𝗱 (𝗔𝗽𝗽) :
📱Android app: https://play.google.com/sto...
published: 11 Jan 2018
#1 (DTFT)Discrete Time Fourier Transform- (examples and solutions)
#1 (DTFT)Discrete Time Fourier Transform- (examples and solutions)
- Report rights infringement
- published: 11 Jan 2018
- views: 148312
𝗗𝗢𝗪𝗡𝗟𝗢𝗔𝗗 𝗦𝗵𝗿𝗲𝗻𝗶𝗸 𝗝𝗮𝗶𝗻 - 𝗦𝘁𝘂𝗱𝘆 𝗦𝗶𝗺𝗽𝗹𝗶𝗳𝗶𝗲𝗱 (𝗔𝗽𝗽) :
📱Android app: https://play.google.com/store/apps/details?id=co.kevin.nxpgd&hl;=en_IN≷=US
SIGNALS & SYSTEMS Books:
Schaum’s: https://amzn.to/3YCXCRv
Ramesh Babu: https://amzn.to/3S0mnFn
Discrete-time Fourier transform
In mathematics, the discrete-time Fourier transform (DTFT) is a form of Fourier analysis that is applicable to the uniformly-spaced samples of a continuous function. The term discrete-time refers to the fact that the transform operates on discrete data (samples) whose interval often has units of time. From only the samples, it produces a function of frequency that is a periodic summation of the continuous Fourier transform of the original continuous function. Under certain theoretical conditions, described by the sampling theorem, the original continuous function can be recovered perfectly from the DTFT and thus from the original discrete samples. The DTFT itself is a continuous function of frequency, but discrete samples of it can be readily calculated via the discrete Fourier transform (DFT) (see Sampling the DTFT), which is by far the most common method of modern Fourier analysis.
Both transforms are invertible. The inverse DTFT is the original sampled data sequence. The inverse DFT is a periodic summation of the original sequence. The fast Fourier transform (FFT) is an algorithm for computing one cycle of the DFT, and its inverse produces one cycle of the inverse DFT.
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by Too Phat
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by David
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by Dave Dee
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by David
If I Die Tonight
by: Too PhatVerse 1
If I die tonight
What would I do
On my last day
I know I'd wake early
In the morn' for crack
Of dawn's last pray
Then prolly go for breakfast
Like I used to do
Fried kuey teow FAM
And roti canai at Raju's
With my boo
And friends from way back
Neighborhood homies
Extended fam
They only know me
As that same cat
With that shaved head
Rocking Cross Colors
Sneaks to school
Writin' rhymes at the back of class
Playing tricks on fools
Then I'd come back to the crib
Tidy up a bit
Y'all know my room's messy
Though classy
Start arrange my ish
Line up my shoes one by one
Start with Jordans
And end with them Air Force Ones
Put a Post-it on the tongue
Of each one
With the name of each dun
I think I know my homies
And who would want which one
Get on the phone
And holla' at everybody
It's nearly noon
Gots to have lunch
With the family
Then spend the last day
I don't know
Try do a million other things
Hoping somehow
Time will slow
I guess what
I'm trying to say is
Take everyday
Like it was your last
Work towards your dreams
Before you pass
And have a blast
While you at it
'Cause we don't know
When we go go
So make the best of it
Just keep it real to yourself
And to all people
If y'all lost somebody before
Remember there'll be a sequel
Chorus (2x)
If I die tonight
You know it'll be alright
Just smile for me
Reminisce the fond memories
Verse 2
Well if I die tonight
I wonder
Where I'll be tomorrow
Nobody cry please
Push away the sorrow
'Cause I ain't been
The best of men
The best of friends
The best of mom
And daddy's last son
The best of anything
Tell Joe here's a last one
If I die tonight
Would I be forgiven
By all the people
I been slackin' with
When I was livin'?
Those who I hurt their hearts
Took advantage of
And even lied to
Hug you one last time
For forgiveness
Yeah I would like to
If I die tonight
Would you feel the loss?
Tomorrow would you dial
My number by accident
Then suddenly... pause?
If I die tonight
I wonder who would get
To keep my caps and shoes
Jerseys, even my little
Stuffed crocodile Coco too
Get my cell phone
Message everyone from A to Z
Tell 'em this ain't Malique
He passed away last night
And pray he rest in peace
If I die tonight
Would you think of my room
When you see blue
Wanted to clean it up this morning
But then I never knew
If I die tonight
What would happen to Tim
How long would it take
Before she kissed another man?...
God damn...
At fast food joints
Would she still order
The same combo meal for two?
Things I wish I knew...
Chorus (2X)
If I die tonight
You know it'll be alright
Just smile for me
Reminisce the fond memories
Verse 3
A cute lil' thing
To many eyes
To me you were simply
A beautiful thing
I tell no lies
We went from
Mere invisible friends
To pals real tight
Rendezvous up on the net
To chitty chat all night
I used to pick you up
Until you got your own ride
A slammin' two door whip
A grey 36-72
Lookin' all slick
Remember when I asked why this
You said because it's real fast
So you can rush
To see your boy after class
The last time
We met was '01 September
You left feelin' upset over... something
I can't remember...
I never apologized
Till January 10th 2003
When I heard you passed away
When I was deep in my sleep
Your loss taught me
Not to take my friends for granted
Misunderstandings
Gotta slam it quick
Death you never plan it
You're sorely missed down here Wawyn
Rest in peace
This too shall pass
But our true friendship will never cease...
Love...
Chorus (till end)
If I die tonight
You know it'll be alright
Just smile for me
Reminisce the fond memories