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

Gal Shtendel; Ayush Bhandari

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arXiv · 2510.27110

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

Gal Shtendel·Ayush Bhandari

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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.

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Gal Shtendel, Ayush Bhandari. 2025-10-31. Unlimited Sampling of Multiband Signals: Single-Channel Acquisition and Recovery. https://arxiv.org/abs/2510.27110

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