Parameter Selection in Complex-Valued Two-Channel Modulo ADC Sampling System

Wenyi Yan, Ruixiang Zhu, zeyuan li, Lu GAN, Hongqing Liu

Session: Unlimited Sensing (Ayush Bhandari)

Keywords: Modulo samplers, Analog-to-digital converters, Number theory, Chinese remainder theorem, Gaussian integers.

TL;DR: This paper proposes two parameter selection methods for conjugate complex 2-channel modulo ADCs: a fast sub-optimal approach and a search-based exact optimization.

Abstract: Modulo Analog-to-digital converters (ADCs) extend the dynamic range of conventional ADCs by folding input signals, enabling the acquisition of signals beyond traditional limits. This paper presents two approaches for parameter selection in conjugate complex-valued 2-channel modulo ADC systems to improve error tolerance. The first is a closed-form sub-optimal method, which offers a near-optimal solution, making it suitable for efficiency-sensitive applications. The second is an effective search-based method that identifies the exact optimal solution with relatively low computational cost. Simulations show that the sub-optimal method provides performance close to the optimal solution, while the search-based method achieves precise optimisation with manageable computational requirements.

Submission Number: 20