Image and Signal Processing Methods

Optimization of waveform design in the fractional Fourier domain to improve the cognitive radar system

[+] Author Affiliations
Xiaowen Zhang

Shanghai Jiao Tong University, School of Electronic Information and Electrical Engineering, Information and Communication Engineering, 800 Dongchuan Road, Minhang District, Shanghai 200240, China

Kaizhi Wang, Xingzhao Liu

Shanghai Jiao Tong University, 800 Dongchuan Road, Minhang District, Shanghai 200240, China

J. Appl. Remote Sens. 11(1), 015004 (Jan 12, 2017). doi:10.1117/1.JRS.11.015004
History: Received August 17, 2016; Accepted December 20, 2016
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Abstract.  We investigate optimal waveform design using fractional Fourier transform in signal-dependent interference, as well as additive channel noise for stochastic extended target. Within constraints on waveform energy and bandwidth, optimal waveform design in fractional Fourier domain based on the signal-to-interference-plus-noise ratio criterion, probability of detection criterion, and mutual information criterion are modeled, respectively. In addition, the relationship between the optimal waveforms that are designed based on the three criteria is discussed. Simulations are conducted to illustrate that for all of the three criteria, the energy of optimal waveform can be distributed in some narrow bands where the target power is large and the interference power is small in fractional Fourier domain. Finally, the fractional Fourier domain waveform design method is proved more flexible and effective than traditional Fourier domain waveform design method, especially when the spectral density of target response and interference are relatively dispersed and flat.

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Citation

Xiaowen Zhang ; Kaizhi Wang and Xingzhao Liu
"Optimization of waveform design in the fractional Fourier domain to improve the cognitive radar system", J. Appl. Remote Sens. 11(1), 015004 (Jan 12, 2017). ; http://dx.doi.org/10.1117/1.JRS.11.015004


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