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Orthogonal Time Frequency Space Modulation Based on the Discrete Zak Transform
Franz Lampel1, Hamdi Joudeh1, Alex Alvarado1
1Information and Communication Theory Lab, Signal Processing Systems Group, Department of Electrical Engineering, Eindhoven University of Technology, 5600 MB Eindhoven, The Netherlands.
Entropy (Basel, Switzerland)
|December 23, 2022
Summary
Orthogonal time frequency space (OTFS) modulation, using the discrete Zak transform (DZT), simplifies delay-Doppler channel analysis. This approach maintains communication capacity even in high-mobility 6G environments.
Area of Science:
- Wireless communication systems
- Signal processing for communications
Background:
- Orthogonal time frequency space (OTFS) modulation offers advantages over OFDM in high-mobility scenarios by operating in the delay-Doppler (DD) domain.
- This DD domain operation transforms time-frequency (TF) dispersive channels into time-invariant ones, crucial for future wireless networks like 6G.
Purpose of the Study:
- To propose a novel OTFS system leveraging the discrete Zak transform (DZT).
- To simplify the derivation and analysis of input-output relations for TF dispersive channels in the DD domain.
Main Methods:
- Utilizing the discrete Zak transform (DZT) as the core mathematical framework for OTFS.
- Establishing the input-output channel relation in the DD domain solely through DZT properties.
Main Results:
- A simplified formulation for analyzing TF dispersive channels in the DD domain.
- Demonstration that operating in the DD domain with the proposed DZT-based OTFS system incurs no loss in channel capacity.
Conclusions:
- The DZT-based OTFS system provides an efficient method for analyzing and managing communication in high-mobility environments.
- This approach confirms OTFS's potential as a key waveform for 6G, ensuring robust performance and maintaining channel capacity.
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