English

Unlimited Sampling of Multiband Signals: Single-Channel Acquisition and Recovery

Signal Processing 2025-11-03 v1 Information Theory math.IT

Abstract

In this paper, we address the problem of reconstructing multiband signals from modulo-folded, pointwise samples within the Unlimited Sensing Framework (USF). Focusing on a low-complexity, single-channel acquisition setup, we establish recovery guarantees demonstrating that sub-Nyquist sampling is achievable under the USF paradigm. In doing so, we also tighten the previous sampling theorem for bandpass signals. Our recovery algorithm demonstrates up to a 13x dynamic range improvement in hardware experiments with up to 6 spectral bands. These results enable practical high-dynamic-range multiband acquisition in scenarios previously limited by dynamic range and excessive oversampling.

Keywords

Cite

@article{arxiv.2510.27110,
  title  = {Unlimited Sampling of Multiband Signals: Single-Channel Acquisition and Recovery},
  author = {Gal Shtendel and Ayush Bhandari},
  journal= {arXiv preprint arXiv:2510.27110},
  year   = {2025}
}

Comments

IEEE Signal Processing Letters (in press)