2 research outputs found
An algorithm of frequency estimation for multi-channel coprime sampling
In some applications of frequency estimation, it is challenging to sample at
as high as the Nyquist rate due to hardware limitations. An effective solution
is to use multiple sub-Nyquist channels with coprime undersampling ratios to
jointly sample. In this paper, an algorithm suitable for any number of channels
is proposed, which is based on subspace techniques. Numerical simulations show
that the proposed algorithm has high accuracy and good robustness.Comment: 2 pages, 3 figures. arXiv admin note: text overlap with
arXiv:1508.0572
Joint Frequency Estimation with Two Sub-Nyquist Sampling Sequences
In many applications of frequency estimation, the frequencies of the signals
are so high that the data sampled at Nyquist rate are hard to acquire due to
hardware limitation. In this paper, we propose a novel method based on subspace
techniques to estimate the frequencies by using two sub-Nyquist sample
sequences, provided that the two under-sampled ratios are relatively prime
integers. We analyze the impact of under-sampling and expand the estimated
frequencies which suffer from aliasing. Through jointing the results estimated
from these two sequences, the frequencies approximate to the frequency
components really contained in the signals are screened. The method requires a
small quantity of hardware and calculation. Numerical results show that this
method is valid and accurate at quite low sampling rates.Comment: 10 pages, 7 figure