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Joint Design of Transmitted Sequence and Receiving Filter in the Presence of Doppler Shifts

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Abstract

In this paper, we study the joint design of transmitted sequence and receiving filter to improve the performance of radar in the presence of Doppler shifts. The mean-square error (MSE) of the estimates of the scattering coefficients of the point-like targets is considered to be the figure of merit. The design problem is cast as a joint optimization problem to minimize the MSE in the presence of target and clutter Doppler shifts. To tackle the design problem, we devise a new data model with respect to the Doppler shifts and propose a cyclic iterative approach to obtain optimized pairs for receiving filters and transmitted sequences. The proposed approach is based on fractional programming and iterations of the power method, and this approach is computationally efficient. Moreover, this approach can handle unimodularity constraints, quantization constraints, and peak-to-average power ratio constraints on the transmitted sequence. Simulation examples show the effectiveness of the proposed approach.

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Acknowledgments

This work was supported in part by the National Natural Science Foundation of China (Grants 61101186 and 61101179).

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Authors and Affiliations

  1. ATR, National University of Defense Technology, Changsha, China

    Hao Wu, Zhiyong Song, Hongqi Fan & Qiang Fu

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  1. Hao Wu
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  2. Zhiyong Song
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  3. Hongqi Fan
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  4. Qiang Fu
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Correspondence to Hao Wu.

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Wu, H., Song, Z., Fan, H. et al. Joint Design of Transmitted Sequence and Receiving Filter in the Presence of Doppler Shifts. Circuits Syst Signal Process 34, 2621–2641 (2015). https://doi.org/10.1007/s00034-015-9970-2

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  • DOI: https://doi.org/10.1007/s00034-015-9970-2

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