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OFDM and the DFT

Shows how Orthogonal Frequency Division Multiplexing (OFDM) is implemented with a Discrete Fourier Transform (DFT), and how it relates to single carrier digital communications. ** Note: I gave the continuous-time version of the Inverse Fourier Transform equation because it's more intuitive to show how the waveforms (at the different frequencies) add up. But if you substitute t=(n/N)T, then you get the standard IDFT equation (in terms of the discrete-time samples, indexed by the variable n). This is because in the IDFT, there are N time-domain samples, which is because there are N frequency-domain subcarriers. I also didn't show the usual scaling by a factor of 1/N (which I probably should have mentioned. ... but it's just a scaling, so it doesn't change any of the intuition, which is what I am trying to show in the video). 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. Or by clicking here:    / @iain_explains   Check out my 'search for signals in everyday life', by following my social media feeds: Facebook: https://www.facebook.com/profile.php?... Instagram:   / iainexplains   Website: http://www.iaincollings.com Related videos: (see: http://www.iaincollings.com) • What is OFDM? and Why is it Used?    • What is OFDM? and Why is it Used?   • How are OFDM Sub Carrier Spacing and Time Samples Related?    • How are OFDM Sub Carrier Spacing and Time ...   • Why is the OFDM Symbol Prefix Shorter in 5G Mobile and 802.11ac WiFi?    • Why is the OFDM Symbol Prefix Shorter in 5...   • OFDM Waveforms:    • OFDM Waveforms   • Why is Subcarrier Spacing Bigger in 5G Mobile Communications?    • Why is Subcarrier Spacing Bigger in 5G Mob...   • What is a Cyclic Prefix in OFDM?    • What is a Cyclic Prefix in OFDM?   • How does OFDM Overcome ISI?    • How does OFDM Overcome ISI?   • Orthogonal Basis Functions in the Fourier Transform:    • Orthogonal Basis Functions in the Fourier ...   For a full list of Videos and Summary Sheets, goto: http://www.iaincollings.com