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Delay-Doppler Domain Communications and OTFS

Beyond OFDM — Signaling in the Delay-Doppler Domain for High-Mobility and ISAC

A rigorous treatment of delay-Doppler domain communications, from the mathematical foundations (Zak transform, symplectic Fourier transform) through OTFS modulation and detection to OTFS-ISAC and network applications including cell-free massive MIMO and LEO satellite communications.

22 chapters193 sections54+ hours of content
Start from Chapter 1

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Mathematical FoundationsOTFS Modulation and DetectionOTFS for Integrated Sensing and CommunicationMIMO-OTFS and Network IntegrationFrontiersFuture topics

All Chapters

Part 1: Mathematical Foundations

Chapter 1

The Delay-Doppler Domain

~150 minIntermediate
Chapter 2

The Zak Transform

~160 minAdvanced
Chapter 3

Symplectic Fourier Transform and the DD Domain

~140 minAdvanced
Chapter 4

The Delay-Doppler Channel Model

~160 minAdvanced
Chapter 5

OFDM Revisited Through the DD Lens

~130 minIntermediate

Part 2: OTFS Modulation and Detection

Chapter 6

OTFS Modulation

~170 minAdvanced
Chapter 7

OTFS Channel Estimation

~150 minAdvanced
Chapter 8

OTFS Detection

~160 minAdvanced
Chapter 9

OTFS Performance Analysis

~150 minAdvanced
Chapter 10

Fractional Doppler and Off-Grid Effects

~160 minAdvanced

Part 3: OTFS for Integrated Sensing and Communication

Chapter 11

OTFS Radar Fundamentals

~150 minAdvanced
Chapter 12

OTFS-ISAC Waveform Design

~150 minAdvanced
Chapter 13

ISAC Beamforming with OTFS

~150 minAdvanced
Chapter 14

Sensing-Assisted Communication

~140 minAdvanced
Chapter 15

Automotive and V2X Applications

~150 minAdvanced

Part 4: MIMO-OTFS and Network Integration

Chapter 16

MIMO-OTFS

~150 minAdvanced
Chapter 17

Cell-Free Massive MIMO with OTFS

~150 minAdvanced
Chapter 18

LEO Satellite Communications with OTFS

~150 minAdvanced
Chapter 19

OTFS in 6G Standards

~140 minAdvanced

Part 5: Frontiers

Chapter 20

Pulse Shaping for OTFS

~130 minAdvanced
Chapter 21

OTFS and Machine Learning

~130 minAdvanced
Chapter 22

Open Problems

~140 minAdvanced