Multi-Channel Modulo Samplers Constructed From Gaussian Integers

Abstract

Recently, there is an increased interest in the study of modulo analog to digital converters (ADCs). These new systems can reconstruct a signal whose amplitude is much higher than the conventional ADC's dynamic range. Modulo ADCs are characterized by their modulo threshold and in the current literature, all existing works are limited to real-valued moduli. In this paper, we propose multi-channel modulo samplers with complex-valued moduli to sample a band-limited complex signal. Specifically, we discuss the construction of complex divisors from Gaussian integers and propose their efficient implementations. A memory-efficient, closed-form recovery algorithm is also proposed. Simulation results demonstrate that the proposed systems can provide stable reconstruction of a high dynamic range complex-valued signal at low sampling rates.

Towards Optimized Multi-Channel Modulo-ADCs: Moduli Selection Strategies and Bit Depth Analysis

“…However, single-channel modulo-ADC system requires high sampling rates and computational costs. Drawing on the Chinese Remainder Theorem (CRT), multichannel modulo-ADC systems are introduced in [15,16]. These systems promise reliable, high-dynamic range sampling even at low sampling rates.…”