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In orthogonal time frequency space (OTFS) modulation, information-carryingsymbols reside in the delay-Doppler (DD) domain. By operating in the DD domain,an appealing property for communication arises: time-frequency (TF) dispersivechannels encountered in high mobility environments become time-invariant. Thetime-invariance of the channel in the DD domain enables efficient equalizersfor time-frequency dispersive channels. In this paper, we propose an OTFSsystem based on the discrete Zak transform. The presented formulation not onlyallows an efficient implementation of OTFS but also simplifies the derivationand analysis of the input-output relation of TF dispersive channel in the DDdomain.

Orthogonal Time Frequency Space Modulation: A Discrete Zak Transform Approach