4.7 Article

Time-Frequency Sparse Reconstruction of Non-Uniform Sampling for Non-Stationary Signal

期刊

IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY
卷 70, 期 11, 页码 11145-11153

出版社

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TVT.2021.3111213

关键词

Time-frequency analysis; Discrete Fourier transforms; Monte Carlo methods; Sensors; Analytical models; Wideband; Spectral analysis; Non-stationary signal; time-frequency analysis; multi-coset sampling; sliding window; sparse reconstruction

资金

  1. National Key Research and Development Program of China [2020YFB2010800]
  2. National Natural Science Foundation of China [U1808214, 92060105]

向作者/读者索取更多资源

In this article, the reconstruction of time-frequency characteristics of sparse multi-band signals using the discrete multi-coset sampling (DMCS) model was addressed. The proposed method involves the utilization of a multi-coset sliding window (MCSW) for locally windowing the discrete multi-coset sampling sequence, leading to optimal time-frequency reconstruction of the original signal. Numerical simulations demonstrated the feasibility of the method, which is significant for sub-Nyquist sampling technique research and development.
We address the problem of the reconstruction of time-frequency characteristics of sparse multi-band signals by using the discrete multi-coset sampling (DMCS) model. In this article, the signal is characterized by complicated time-variable components. According to the feature of the short-time Fourier transform (STFT) analysis method, we obtain the rewritten matrix form of the discrete STFT. Then, an analysis method of the multi-coset sliding window (MCSW) is proposed, and the discrete multi-coset sampling sequence is locally windowed. The sparse signal reconstruction algorithm is used to obtain the optimal time-frequency reconstruction value of the original signal. Numerical simulations show the feasibility of this method. We simulate the effects of measurement noise, sampling rate, and time-frequency analysis parameters on the reconstruction accuracy. Our method can carry out time-frequency reconstruction for undersampled signals obtained from multi-coset sampling to ensure the time-varying feature of the original signals, which can well highlight the characteristics of signals. The method is of great significance to the research and development of the sub-Nyquist sampling technique.

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