Distributed sub-Nyquist sampling and parameters measurement of common frequency support MEDS signals

Parameters measurement of multiple exponentially damped sinusoids (MEDS) signals is of great significance in many areas. However, recent technologies are most based on Nyquist sampling theory and thus require very high sampling rate for wide band signals. In this paper, a distributed sub-Nyquist sampling and parameters measurement method is proposed for common frequency support MEDS signals. The proposed method can measure the parameters of Pcommon frequency support MEDS signals by P+ 1 distributed sub-Nyquist sampling channels. A subspace based parameters estimation algorithm is proposed to estimate the unknown amplitudes, frequencies and damping factors of the measured MEDS signals. It can be determined that K(P+ 1) + P [K/ P ] samples are sufficient for parameters measuring of PMEDS signals with Kcommon frequency components, which is much smaller than previous works. Finally, we design a hardware prototype to verify the effectiveness of the proposed method. Simulation and hardware experiments have demonstrated the effectiveness and noise robustness of the proposed method. (c) 2023 Elsevier Inc. All rights reserved.

Automated summary

Parameters measurement of multiple exponentially damped sinusoids (MEDS) signals is of great significance in many areas. In this paper, a distributed sub-Nyquist sampling and parameters measurement method is proposed for common frequency support MEDS signals. The effectiveness and noise robustness of the proposed method are demonstrated through simulation and hardware experiments.