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Explains Delay Doppler Digital Communications and Zak-OTFS (Orthogonal Time Frequency Space) modulation. Also discusses pulse shaping for time-domain implementations. The presentation slides are a modified version of slides developed jointly by myself and Prof Stephen Hanly for his Keynote Talk at the 2025 Australian Communications Theory Workshop (AusCTW). Note that in the slides there is a persistent "typo" where the word "Zak" is incorrectly spelt "Zac". Clearly we weren't paying enough attention to spelling when we wrote the slides ... References: • S. Gopalam, I.B. Collings, S.V. Hanly, H. Inaltekin, S.R.B. Pillai and P. Whiting, "Zak-OTFS Implementation via Time and Frequency Windowing", IEEE Transactions on Communications, Vol. 72, No. 7, pp. 3873-3889, July 2024. DOI: 10.1109/TCOMM.2024.3366403 • S. K. Mohammed, R. Hadani, A. Chockalingam, and R. Calderbank, “OTFS—A mathematical foundation for communication and radar sensing in the delay-Doppler domain,” IEEE BITS Inf. Theory Mag., vol. 2, no. 2, pp. 36–55, Nov. 2022. 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://iaincollings.com) • What is OTFS? Orthogonal Time Frequency Space Modulation • What is OTFS? Orthogonal Time Frequency Sp... • Why is Subcarrier Spacing Bigger in 5G Mobile Communications? • Why is Subcarrier Spacing Bigger in 5G Mob... • 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 and the DFT • OFDM and the DFT • What is Intersymbol Interference ISI? • What is Intersymbol Interference ISI? • How are the Fourier Series, Fourier Transform, DTFT, DFT, FFT, LT and ZT Related? • How are the Fourier Series, Fourier Transf... • What is SC-FDMA? And why is it used for the Uplink of 4G/5G Mobile? • What is SC-FDMA? And why is it used for th... • Why is SC-FDMA called "Single Carrier"? • Why is SC-FDMA called "Single Carrier"? • How are Different Equalization Methods Related? (DFE, ZF, MMSE, Viterbi, OFDM) • How are Different Equalization Methods Rel... • What are Doppler Shift, Doppler Spread, and Doppler Spectrum? • What are Doppler Shift, Doppler Spread, an... • What is Multi-User MIMO Communications (MU MIMO)? • What is Multi-User MIMO Communications (MU... • What is MIMO OFDM? • What is MIMO OFDM? • What is a Cyclic Prefix in OFDM? • What is a Cyclic Prefix in OFDM? • How does OFDM Overcome ISI? • How does OFDM Overcome ISI? • Modelling mmWave MIMO Channels • Modelling mmWave MIMO Channels • What are Doppler Shift, Doppler Spread, and Doppler Spectrum? • What are Doppler Shift, Doppler Spread, an... • What are Flat Fading and Frequency Selective Fading? • What are Flat Fading and Frequency Selecti... Full categorised list of videos with pdf Summary Sheets: http://iaincollings.com