Uncertainty principles for random signals. (English) Zbl 1511.42009
Summary: In this paper, we establish two types of uncertainty principles for random signals. One is based on Heisenberg’s uncertainty principle for deterministic signal, and the other is Donoho and Stark’s uncertainty principle for deterministic signal. Moreover, we can recover missing signals with some probability by using the second type of uncertainty principle.
MSC:
| 42B10 | Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type |
| 81S07 | Uncertainty relations, also entropic |
| 94A12 | Signal theory (characterization, reconstruction, filtering, etc.) |
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