Title
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.
Year
DOI
Venue
2021
10.1109/LSP.2021.3108526
IEEE SIGNAL PROCESSING LETTERS
Keywords
DocType
Volume
Dynamic range, Cathode ray tubes, Image reconstruction, Calibration, Telecommunications, Simulation, Signal representation, Analog-to-digital conversion (ADC), complex signal representations, modulo samplers, Chinese reminder theorem (CRT), Gaussian integers
Journal
28
ISSN
Citations 
PageRank 
1070-9908
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Yicheng Gong100.34
Lu Gan232425.46
Hongqing Liu34528.77