2017
DOI: 10.3390/rs9060619
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2D Normalized Iterative Hard Thresholding Algorithm for Fast Compressive Radar Imaging

Abstract: Abstract:Compressive radar imaging has attracted considerable attention because it substantially reduces imaging time through directly compressive sampling. However, a problem that must be addressed for compressive radar imaging systems is the high computational complexity of reconstruction of sparse signals. In this paper, a novel algorithm, called two-dimensional (2D) normalized iterative hard thresholding (NIHT) or 2D-NIHT algorithm, is proposed to directly reconstruct radar images in the matrix domain. The… Show more

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Cited by 5 publications
(3 citation statements)
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“…28,29 The center of compressive sensing is to recover a sparse signal x ∈ R N from an observation vector y ∈ R M and a measurement matrix Φ ∈ R M×N using the linear equation: y = Φx, where M < N. 30,31 Although the equation is under-determined, the unique solution x is also obtained if the x is sparse enough and the measurement matrix satisfies the restricted isometry property (RIP). 32,33 In practice, not all signals are sparse in their original form, but they can be sparsely represented in other spaces.…”
Section: Scheme Of the Single-pixel Imaging Systemmentioning
confidence: 99%
“…28,29 The center of compressive sensing is to recover a sparse signal x ∈ R N from an observation vector y ∈ R M and a measurement matrix Φ ∈ R M×N using the linear equation: y = Φx, where M < N. 30,31 Although the equation is under-determined, the unique solution x is also obtained if the x is sparse enough and the measurement matrix satisfies the restricted isometry property (RIP). 32,33 In practice, not all signals are sparse in their original form, but they can be sparsely represented in other spaces.…”
Section: Scheme Of the Single-pixel Imaging Systemmentioning
confidence: 99%
“…To test the performance of the cell‐based photodetector that we designed (Figure A), a biosyncretic imaging system was constructed (Figure B). The system consists of three principal components: i) A cell‐based photodetector, in which the cell is optogenetically engineered with a light‐sensitive protein, ChR2; ii) a patch‐clamp device, which provides a readout of the ionic photocurrent information of the cell under light irradiation; and iii) a single‐pixel design based on the compressive sensing theory (detail is described in Text S1 in the Supporting information) that converts the spatial information of an object scene into time‐varying light intensity signals to achieve high‐resolution image …”
Section: Introductionmentioning
confidence: 99%
“…In this SI, two significant examples of the use of CS are presented. The first regards a novel algorithm, called two-dimensional (2D) normalized iterative hard thresholding (NIHT), to directly reconstruct radar images in the matrix domain [18]. However, the computation complexity of CS-based methods limits its wide applications in SAR imaging.…”
mentioning
confidence: 99%