The paper derives the first MIMO Zak-OTFS system model from the physical channel, proposes DD-domain channel estimation, and reports SNR/Doppler crossover points versus CP-OFDM under CDL-C simulations.
Zak-OTFS for Integration of Sensing and Commu- nication
6 Pith papers cite this work. Polarity classification is still indexing.
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abstract
The Zak-OTFS input/output (I/O) relation is predictable and non-fading when the delay and Doppler periods are greater than the effective channel delay and Doppler spreads, a condition which we refer to as the crystallization condition. The filter taps can simply be read off from the response to a single Zak-OTFS point (impulse) pulsone waveform, and the I/O relation can be reconstructed for a sampled system that operates under finite duration and bandwidth constraints. Predictability opens up the possibility of a model-free mode of operation. The time-domain realization of a Zak-OTFS point pulsone is a pulse train modulated by a tone, hence the name, pulsone. The Peak-to-Average Power Ratio (PAPR) of a pulsone is about $15$ dB, and we describe a general method for constructing a spread pulsone for which the time-domain realization has a PAPR of about 6dB. We construct the spread pulsone by applying a type of discrete spreading filter to a Zak-OTFS point pulsone. The self-ambiguity function of the point pulsone is supported on the period lattice ${\Lambda}_{p}$, and by applying a discrete chirp filter, we obtain a spread pulsone with a self-ambiguity function that is supported on a rotated lattice ${\Lambda^*}$. We show that if the channel satisfies the crystallization conditions with respect to ${\Lambda^*}$ then the effective DD domain filter taps can simply be read off from the cross-ambiguity between the channel response to the spread pulsone and the transmitted spread pulsone. If, in addition, the channel satisfies the crystallization conditions with respect to the period lattice ${\Lambda}_{p}$, then in an OTFS frame consisting of a spread pilot pulsone and point data pulsones, after cancelling the received signal corresponding to the spread pulsone, we can recover the channel response to any data pulsone.
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With the parameter choice c1 = 1/(2Np), c2 = 0, AFDM subcarriers are mathematically identical to Nyquist-sampled FMCW chirps, so every DAFT index maps to a delay-Doppler coordinate, enabling FMCW-style single-symbol radar sensing.
TF-shift multiuser Zak-OTFS with heterogeneous frames and superimposed ZC spread-pilots yields near-single-user IOR estimation and filter-dependent spectral-efficiency gains over embedded pilots.
DD-domain sensing with overlaid Zadoff-Chu pilot on CP-OFDM yields the frequency-domain I/O relation, enabling pilot cancellation and joint ICI equalization that improves spectral efficiency over standard CP-OFDM in high-mobility 3GPP TDL-C channels.
Zero-mean unit-energy data symbols on arbitrary waveforms enable DD channel estimation without per-coherence pilots, claiming ~1.8× uncoded spectral-efficiency gain over pilot-based baselines.
citing papers explorer
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MIMO Zak-OTFS: Channel Estimation, Detection, and Throughput Analysis
The paper derives the first MIMO Zak-OTFS system model from the physical channel, proposes DD-domain channel estimation, and reports SNR/Doppler crossover points versus CP-OFDM under CDL-C simulations.
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ISAC with Affine Frequency Division Multiplexing: An FMCW-Based Signal Processing Perspective
With the parameter choice c1 = 1/(2Np), c2 = 0, AFDM subcarriers are mathematically identical to Nyquist-sampled FMCW chirps, so every DAFT index maps to a delay-Doppler coordinate, enabling FMCW-style single-symbol radar sensing.
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Multiuser Zak-OTFS on the Uplink with Superimposed Spread-Pilots
TF-shift multiuser Zak-OTFS with heterogeneous frames and superimposed ZC spread-pilots yields near-single-user IOR estimation and filter-dependent spectral-efficiency gains over embedded pilots.
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Improving Doppler Resilience of OFDM through Delay-Doppler Sensing
DD-domain sensing with overlaid Zadoff-Chu pilot on CP-OFDM yields the frequency-domain I/O relation, enabling pilot cancellation and joint ICI equalization that improves spectral efficiency over standard CP-OFDM in high-mobility 3GPP TDL-C channels.
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Delay-Doppler Channel Estimation using Arbitrarily Modulated Data Transmissions
Zero-mean unit-energy data symbols on arbitrary waveforms enable DD channel estimation without per-coherence pilots, claiming ~1.8× uncoded spectral-efficiency gain over pilot-based baselines.
- Zak-OTFS: A Predictable Physical Layer for Communications and Sensing