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Orthogonal time frequency space (OTFS) is a promising technology forhigh-mobility wireless communications. However, the equalization realization inpractical OTFS systems is a great challenge when the non-ideal rectangularwaveforms are adopted. In this paper, first of all, we theoretically prove thatthe effective channel matrix under rectangular waveforms holds theblock-circulant property and the special Fourier transform structure withtime-domain channel. Then, by exploiting the proved property and structure, wefurther propose the corresponding low-complexity algorithms for two mainstreamlinear equalization methods, i.e., zero-forcing (ZF) and minimum mean squareerror (MMSE). Compared with the existing direct-matrix-inversion-basedequalization, the complexities can be reduced by a few thousand times for ZFand a few hundred times for MMSE without any performance loss, when the numbersof symbols and subcarriers are both 32 in OTFS systems.

Low-Complexity Linear Equalization for OTFS Systems with Rectangular Waveforms