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Mathematical Problems in Engineering
Volume 2016 (2016), Article ID 7270301, 7 pages
Research Article

Sparse Frequency Waveform Design for Radar-Embedded Communication

1School of Electronic and Information Engineering, Beihang University, Beijing 100191, China
2Temasek Laboratories, Nanyang Technological University, Singapore 117411

Received 8 January 2016; Revised 11 May 2016; Accepted 26 May 2016

Academic Editor: Nazrul Islam

Copyright © 2016 Chaoyun Mai et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


According to the Tag application with function of covert communication, a method for sparse frequency waveform design based on radar-embedded communication is proposed. Firstly, sparse frequency waveforms are designed based on power spectral density fitting and quasi-Newton method. Secondly, the eigenvalue decomposition of the sparse frequency waveform sequence is used to get the dominant space. Finally the communication waveforms are designed through the projection of orthogonal pseudorandom vectors in the vertical subspace. Compared with the linear frequency modulation waveform, the sparse frequency waveform can further improve the bandwidth occupation of communication signals, thus achieving higher communication rate. A certain correlation exists between the reciprocally orthogonal communication signals samples and the sparse frequency waveform, which guarantees the low SER (signal error rate) and LPI (low probability of intercept). The simulation results verify the effectiveness of this method.