Exact CS reconstruction condition of undersampled spectrum-sparse signals (Q1790092)
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scientific article; zbMATH DE number 6950837
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Exact CS reconstruction condition of undersampled spectrum-sparse signals |
scientific article; zbMATH DE number 6950837 |
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Exact CS reconstruction condition of undersampled spectrum-sparse signals (English)
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10 October 2018
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Summary: Compressive sensing (CS) reconstruction of a spectrum-sparse signal from undersampled data is, in fact, an ill-posed problem. In this paper, we mathematically prove that, in certain cases, the exact CS reconstruction of a spectrum-sparse signal from undersampled data is impossible. Then we present the exact CS reconstruction condition of undersampled spectrum-sparse signals, which is valuable for digital signal compression.
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