1-Bit Hilbert Transform for Signed Signals with Sparse Prior
1-Bit Hilbert Transform for Signed Signals with Sparse Prior
复制标题
具有稀疏先验的符号信号的 1 位希尔伯特变换
DOI:
10.1007/s00034-022-02162-9
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发表时间:
2022-09
期刊:
影响因子:
--
通讯作者:
Jixing Qin
中科院分区:
文献类型:
--
作者:
Peng Xiao;Yidi Li;Yinglin Chen;Lingji Xu;Jixing Qin
Owing to the advantages of low cost and easy implementation, the 1-bit sampling technique attracts more and more attention recently. In many signal processing areas, such as in the direction finding problem, the complete analytical 1-bit signal is required to provide the instantaneous phase information, rather than the real-valued 1-bit signal. However, how to generate the imaginary component of the 1-bit signal continues to be an open problem in the literature. To this end, in this paper the concept of 1-bit Hilbert transform is introduced. Moreover, we propose an algorithm to construct the analytical signal for the real-valued 1-bit signal based on the 1-bit compressive sensing method. Simulations show that the proposed method can obtain the analytical 1-bit signal with a reasonable accuracy.
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