Sparse Sampling of Signal Innovations
Citations
1,138 citations
1,090 citations
Cites background or methods from "Sparse Sampling of Signal Innovatio..."
...[6]–[8] as a special case of signals having a finite number of degrees of freedom per unit time, termed finite rate of innovation (FRI) signals....
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...Our sampling scheme follows the ideas of [6]–[8] and consists of a filter followed by uniform sampling of the output with period , where is the number of samples in one period, and ....
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...[166], [167], and the annihilating filter [8]....
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...This has also led to parallel low-rate sampling schemes that combine the principles of CS with the rich theory of sampling such as the finite rate of innovation (FRI) [6]–[8] and Xampling frameworks [9], [10]....
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920 citations
Cites background from "Sparse Sampling of Signal Innovatio..."
...A survey of these methods can be found in [42] and an extensive list of references is given in [23]....
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...With equispaced samples, these rootfinding-based procedures deal with the problem directly on the continuous frequency domain, and can recover frequencies provided the number of samples is at least twice of the number of frequencies, regardless of how closely these frequencies are located [5], [21], [23], [42]....
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709 citations
Cites background or methods from "Sparse Sampling of Signal Innovatio..."
...Resolution is the ability to detect two objects in close proximity [ 73 ], [101], [102], while accuracy refers to the mean squared error in estimating the object’s parameters (location, amplitude, etc.)....
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...The subspace methods can achieve the Crame`r–Rao lower bound on location error variance for the sum-of-reflectors model with sufficiently high signal-to-noise ratio [ 73 ]....
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704 citations
References
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"Sparse Sampling of Signal Innovatio..." refers background in this paper
...does not provide an exactly K-sparse solution anymore, although � 1/� 2 stable recovery of the x� k� is statistically guaranteed [ 20 ]....
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