Instantaneous Polarimetry With Zak-OTFS

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Abstract
Polarimetry, which is the ability to measure the scattering response of the environment across orthogonal polarizations, is fundamental to enhancing wireless communication and radar system performance. In this paper, we utilize the Zak-OTFS modulation to enable instantaneous polarimetry within a single transmission frame. We transmit a Zak-OTFS carrier waveform and a spread carrier waveform mutually unbiased to it simultaneously over orthogonal polarizations. The mutual unbiasedness of the two waveforms enables the receiver to estimate the full polarimetric response of the scattering environment from a single received frame. Unlike existing methods for instantaneous polarimetry with computational complexity quadratic in the time-bandwidth product, the proposed method enables instantaneous polarimetry at near-linear complexity in the time-bandwidth product. Via numerical simulations, we show ideal polarimetric target detection and parameter estimation results with the proposed method, with improvements in computational complexity and greater clutter resilience over comparable baselines.
Funding Information
  • National Science Foundation (2342690)
  • National Science Foundation (2148212)
  • Funds From Federal Agency and Industry Partners as Specified in the Resilient and Intelligent NextG Systems Program
  • Air Force Office of Scientific Research (FA 8750-20-2-0504)
  • Air Force Office of Scientific Research (FA 9550-23-1-0249)

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