Practical Pulse-Shaping Waveforms for Reduced-Cyclic-Prefix OTFS

By Patchava Raviteja, Yi Hong, Emanuele Viterbo, Ezio Biglieri. IEEE Transactions on Vehicular Technology, 2019

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In this paper, we model <inline-formula><tex-math notation="LaTeX">$M\times N$</tex-math></inline-formula> orthogonal time frequency space modulation (OTFS) over a <inline-formula><tex-math notation="LaTeX">$P$</tex-math></inline-formula>-path doubly dispersive channel with delays less than <inline-formula><tex-math notation="LaTeX">$\tau _{\max }$</tex-math></inline-formula> and Doppler shifts in the range <inline-formula><tex-math notation="LaTeX">$(\nu _{\min },\nu _{\max })$</tex-math></inline-formula>. We first derive in a simple matrix form the input–output relation in the delay-Doppler domain for practical (e.g., rectangular) pulse-shaping waveforms, next generalize it to arbitrary waveforms. This relation extends the original OTFS input–output approach, which assumes ideal pulse-shaping waveforms that are bi-orthogonal in both time and frequency. We show that the OTFS input–output relation has a simple sparse structure that enables one to use low-complexity detection algorithms. Different from previous work, only a single cyclic prefix is added at the end of the OTFS frame, significantly reducing the overhead, without incurring any penalty from the loss of bi-orthogonality of the pulse-shaping waveforms. Finally, we compare the OTFS performance with different pulse-shaping waveforms, and show that the reduction of out-of-band power may introduce nonuniform channel gains for the transmitted symbols, thus impairing the overall error performance.

View Paper: https://www.semanticscholar.org/paper/53ccde5ff67dba2506b98e7783e37dfa4c6edd02

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  1. Tharaj Thaj
  2. Emanuele Viterbo
  3. Marwa Chafii

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