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Orthogonal Time Frequency Space (OTFS) is a novel modulation scheme designedin the Doppler-delay domain to fully exploit time and frequency diversity ofgeneral time-varying channels. In this paper, we present a novel discrete-timeanalysis of OFDM-based OTFS transceiver with a concise and vectorizedinput-output relationship that clearly characterizes the contribution of eachunderlying signal processing block in such systems. When adopting cyclic prefixin the time domain, our analysis reveals that the proposed MIMO OTFS and OFDMsystems have the same ergodic capacity despite the well-known fact that theformer has great advantages in low-complexity receiver design for high Dopplerchannels. The proposed discrete-time vectorized formulation is applicable togeneral fast fading channels with arbitrary window functions. It also enablespractical low-complexity receiver design for which such a concise formulationof the input-output relationship is of great benefits.

Analysis of Discrete-Time MIMO OFDM-Based Orthogonal Time Frequency Space Modulation