Paper Info
Title
Short-Observation Measurement of Multiple Sinusoids With Multichannel Sub-Nyquist Sampling
Abstract
Measurement of multiple sinusoidal signals (MSSs) is significant in instrumentation and measurement, radar, communications, and many other electric systems. Measurement methods based upon Shannon sampling theory require very high sampling rates and heavy processing to estimate the frequencies and amplitudes. In this article, we propose a multichannel time-staggered sampling system to measure MSSs with short-observation sub-Nyquist samples. The sampling scheme is composed of N' time-staggered sampling channels, where the staggered time is allowed to be greater than the Nyquist sampling interval. The estimation method is based on the frequency domain sparse common support (SCS) model and the Chinese remainder theorem (CRT). To estimate K frequency components in the signal without image frequency aliasing, N' ≥ 2 sampling channels and N ≥ ⌈K+K/N'⌉ samples for each channel are enough. In the situation when image frequency aliasing exists, N' ≥ 2K and N ≥ 2K samples are sufficient. We further explore the analysis of noisy signals and generalize our proposal to real-valued signals. Simulation and hardware experimental results demonstrate the effectiveness and robustness of the proposed method.
Year
DOI
Venue
2020
10.1109/TIM.2020.2977742
IEEE Transactions on Instrumentation and Measurement
Keywords
DocType
Volume
Chinese remainder theorem (CRT),estimation of signal parameters via rotational invariance techniques (ESPRITs),frequency domain sparse common support (SCS),multiple sinusoids,sub-Nyquist sampling
Journal
69
Issue
ISSN
Citations 
9
0018-9456
1
PageRank 
References 
Authors
0.36
0
4
Name
Order
Citations
PageRank
Ning Fu1159.20
Zhiliang Wei222.41
Liyan Qiao3146.05
Zhenlong Yan410.36