Chapter 10: OFDM and OTFS Sensing

Learning Objectives

• Derive the OFDM radar signal model and connect the OFDM channel matrix to the sensing operator $\mathbf{A}$
• Perform 2D periodogram range-Doppler processing from OFDM pilot observations
• Analyze the OFDM ambiguity function and its dependence on bandwidth, observation time, and cyclic prefix
• Understand OTFS modulation via the Zak transform and symplectic Fourier transform
• Compare the OTFS and OFDM ambiguity functions, especially at high Doppler
• Evaluate the trade-offs among FMCW, OFDM, OTFS, and PMCW waveforms for sensing and ISAC