التفاصيل البيبلوغرافية
| العنوان: |
Recovering Compressively Sampled Signals Using Partial Support Information. |
| المؤلفون: |
Friedlander, Michael P., Mansour, Hassan, Saab, Rayan, Yilmaz, Özgür |
| المصدر: |
IEEE Transactions on Information Theory; Feb2012, Vol. 58 Issue 2, p1122-1134, 13p |
| مصطلحات موضوعية: |
RADIO frequency, BROADBAND communication systems, INFORMATION measurement, SOUND measurement, VIDEO processing, IMAGING systems in seismology |
| مستخلص: |
We study recovery conditions of weighted \ell1 minimization for signal reconstruction from compressed sensing measurements when partial support information is available. We show that if at least 50% of the (partial) support information is accurate, then weighted \ell1 minimization is stable and robust under weaker sufficient conditions than the analogous conditions for standard \ell1 minimization. Moreover, weighted \ell1 minimization provides better upper bounds on the reconstruction error in terms of the measurement noise and the compressibility of the signal to be recovered. We illustrate our results with extensive numerical experiments on synthetic data and real audio and video signals. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
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