Total variation-based method for radar coincidence imaging with model mismatch for extended target

Kaicheng Cao; Xiaoli Zhou; Yongqiang Cheng; Bo Fan; Yuliang Qin

doi:10.1117/1.JEI.26.6.063007

8 November 2017 Total variation-based method for radar coincidence imaging with model mismatch for extended target

Kaicheng Cao, Xiaoli Zhou, Yongqiang Cheng, Bo Fan, Yuliang Qin

Author Affiliations +

Journal of Electronic Imaging, Vol. 26, Issue 6, 063007 (November 2017). https://doi.org/10.1117/1.JEI.26.6.063007

Abstract

Originating from traditional optical coincidence imaging, radar coincidence imaging (RCI) is a staring/forward-looking imaging technique. In RCI, the reference matrix must be computed precisely to reconstruct the image as preferred; unfortunately, such precision is almost impossible due to the existence of model mismatch in practical applications. Although some conventional sparse recovery algorithms are proposed to solve the model-mismatch problem, they are inapplicable to nonsparse targets. We therefore sought to derive the signal model of RCI with model mismatch by replacing the sparsity constraint item with total variation (TV) regularization in the sparse total least squares optimization problem; in this manner, we obtain the objective function of RCI with model mismatch for an extended target. A more robust and efficient algorithm called TV-TLS is proposed, in which the objective function is divided into two parts and the perturbation matrix and scattering coefficients are updated alternately. Moreover, due to the ability of TV regularization to recover sparse signal or image with sparse gradient, TV-TLS method is also applicable to sparse recovering. Results of numerical experiments demonstrate that, for uniform extended targets, sparse targets, and real extended targets, the algorithm can achieve preferred imaging performance both in suppressing noise and in adapting to model mismatch.

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Kaicheng Cao, Xiaoli Zhou, Yongqiang Cheng, Bo Fan, and Yuliang Qin "Total variation-based method for radar coincidence imaging with model mismatch for extended target," Journal of Electronic Imaging 26(6), 063007 (8 November 2017). https://doi.org/10.1117/1.JEI.26.6.063007

Received: 1 May 2017; Accepted: 11 October 2017; Published: 8 November 2017

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