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

Xiaowen Zhang; Kaizhi Wang; Xingzhao Liu

doi:10.1117/1.JRS.11.015004

12 January 2017 Optimization of waveform design in the fractional Fourier domain to improve the cognitive radar system

Xiaowen Zhang, Kaizhi Wang, Xingzhao Liu

Author Affiliations +

Journal of Applied Remote Sensing, Vol. 11, Issue 1, 015004 (January 2017). https://doi.org/10.1117/1.JRS.11.015004

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.

Citation Download Citation

Xiaowen Zhang, Kaizhi Wang, and Xingzhao Liu "Optimization of waveform design in the fractional Fourier domain to improve the cognitive radar system," Journal of Applied Remote Sensing 11(1), 015004 (12 January 2017). https://doi.org/10.1117/1.JRS.11.015004

Received: 17 August 2016; Accepted: 20 December 2016; Published: 12 January 2017

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