Zak-OTFS carriers, realized as pulsone waveforms, yield predictable non-selective I/O relations under bounded channel spreads due to their structure as common eigenvectors of the discrete Heisenberg-Weyl group, with similar structure shared by AFDM, OTSM and ODDM.
Zak-OTFS for Integration of Sensing and Commu- nication
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Using data symbols with arbitrary waveforms for delay-Doppler channel estimation yields approximately 1.8 times better spectral efficiency than conventional pilot-based methods.