Abstract
Previous recovery methods in the literature are usually based on grid partition, which will bring about some perturbation to the eventual result. In the paper, a novel idea for one-dimensional wideband signals by sparse reconstruction in frequency domain is put forward. Firstly, Discrete Fourier Transformation (DFT) is performed on the received data. Then the data of the frequency with the most power is expressed by Fourier serious coefficients. On this basis, the optimization functions and corresponding dual problems are solved. After that the support set is calculated, and the primary sources of this frequency and direction of arrival (DOA) can also be acquired. Comparing with the traditional methods, the proposed approach has further improved the estimation accuracy.
J. Zhen—This work was supported by the National Natural Science Foundation of China under Grant Nos. 61501176 and 61505050, University Nursing Program for Young Scholars with Creative Talents in Heilongjiang Province (UNPYSCT-2016017), China Postdoctoral Science Foundation (2014M561381), Heilongjiang Province Postdoctoral Foundation (LBH-Z14178), Heilongjiang Province Natural Science Foundation (F2015015), Outstanding Young Scientist Foundation of Heilongjiang University (JCL201504) and Special Research Funds for the Universities of Heilongjiang Province (HDRCCX-2016Z10).
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Acknowledgments
I would like to thank Professor Qun Ding, Heilongjiang province ordinary college electronic engineering laboratory and post doctoral mobile stations of Heilongjiang University.
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© 2018 ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering
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Zhen, J., Li, Y. (2018). Sparse Reconstruction in Frequency Domain and DOA Estimation for One-Dimensional Wideband Signals. In: Li, B., Shu, L., Zeng, D. (eds) Communications and Networking. ChinaCom 2017. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 237. Springer, Cham. https://doi.org/10.1007/978-3-319-78139-6_6
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