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Small Target Detection in Sea Clutter Background Based on Tsallis Entropy of Doppler Spectrum
doi: 10.12000/JR19012
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Abstract
According to the different concentration levels of Doppler spectrum between sea clutter and target, small target in sea clutter background can be detected using Shannon entropy. However, Shannon entropy is merely a special case of Tsallis entropy and cannot reflect the multifractality of sea clutter. In this paper, the relation between Tsallis entropy and the generalized fractal dimension is first presented, and then the Doppler spectrum’s concentrative level and multifractality of sea clutter are combined; finally an algorithm for detecting small target in sea clutter background based on Tsallis entropy of Doppler spectrum rather than of Shannon entropy is proposed. By comparison via IPIX dataset, the detection’s performance of Tsallis entropy is better than that of Shannon entropy and Hurst exponent as per short observations. -
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References
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- Figure 1. The average SCR of four polarizations
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Figure 2.
${\log _2}\!\left( {{F^{(q)}}(m)} \right) \sim {\log _2}(m)$ -
Figure 3.
${\log _2}\!\left( {{F^{(q)}}(m)} \right) \sim {\log _2}(m)$ -
Figure 4.
$H(q) \sim q$ - Figure 5. Comparison of Doppler spectrums of target and pure clutter cell
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Figure 6. Normalized two-dimensional graphs of different
$q$ - Figure 7. Histogram of Tsallis entropy of target cell and clutter cells
- Figure 8. Flow chart of proposed algorithm