How are the Fourier Series, Fourier Transform, DTFT, DFT, FFT, LT and ZT Related?
Publicado 2021-03-29
(* 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: drive.google.com/file/d/1fh7TzeT4HCeoRECnHiQYmjFRS… . For more details see: "How does the Discrete Fourier Transform DFT relate to Real Frequencies?" • How does the Discrete Fourier Transfo... )
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Related videos: (see www.iaincollings.com/)
• Fourier Series and Eigen Functions of LTI Systems • Fourier Series and Eigen Functions of...
• What is the Fourier Transform? • What is the Fourier Transform? ("Bril...
• What is the Fourier Transform used for? • What is the Fourier Transform used for?
• Fourier Transform Equation Explained • Fourier Transform Equation Explained ...
• Typical Exam Question on Fourier Transform Properties • Typical Exam Question on Fourier Tran...
• Discrete Time Basis Functions • Discrete Time Basis Functions
• How does the Discrete Fourier Transform DFT relate to Real Frequencies? • How does the Discrete Fourier Transfo...
• Laplace Transform Equation Explained • Laplace Transform Equation Explained
• Laplace Transform Region of Convergence Explained • Laplace Transform Region of Convergen...
• What is the Z Transform? • What is the Z Transform?
• Z Transform Region of Convergence Explained • Z Transform Region of Convergence Exp...
• Is Phase important in the Fourier Transform? • Is Phase important in the Fourier Tra...
For a full list of Videos and accompanying Summary Sheets, see the associated website: www.iaincollings.com/
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Todos los comentarios (21)
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I have my signals 2 final on dtfs, dtft dft and z transform tomorrow. Thank you so much for these videos, they're really helpful
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Brilliant overview, perfectly explained. Thanks!
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what a great video, your explanations have helped me in 3 subjects so far, thank you so much Iain! hugs from Argentina
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Thank you so much for this series of videos. This is the first time i've seen such a comprehensive explanation of the purpose behind Z and Laplace transform and the region of convergences !
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Thanks so much, needed this so much to consolidate the study of this evening
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Thank you so much for the time you put in. I found this video extremely helpful
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Thank you so much for the videos! It was great and really helpful, truely appreciate your work :)!
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A brilliant overview, Sir! Thanks! Greetings from Trondheim, Norway!
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Excellent
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Thank you for this amazing summary
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Am two minutes in and I'm already sure this is what I was looking for. Love when that happens, thanks!
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Very extremely useful! Liked & Subscribed! Thanks a lot!
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Thanks !
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Awesome video, thanks!
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Sir Can You Please now make videos on digital filters?By the way your playlist really helped me to grow interest in Digital Signal processing. Thank You so much.😊
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So enlightening, Thanks 😊
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amazing video, thanks alot and greetings from Turkey
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Thank you fro the video!
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excellent explanation
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that's soo helpful thank you so much
