Around 2004, Emmanuel Candès, Terence Tao, and David Donoho proved that given knowledge about a signal's sparsity, the signal may be reconstructed with fewer samples than the Nyquist-Shannon theorem requires.
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The results found by Emmanuel Candès, Justin Romberg, Terence Tao and David Donoho, showed that the number of these compressive measurements can be small and still contain nearly all the useful information.
He has been the Ph.D. advisor of at least 20 doctoral students, including Emmanuel Candès.
Emmanuel College, Cambridge | Victor Emmanuel III of Italy | Tommy Emmanuel | Victor Emmanuel II of Italy | Emmanuel College | Victor Emmanuel | Emmanuel Nunes | Emmanuel Levinas | Emmanuel Hocquard | Charles Emmanuel I, Duke of Savoy | Emmanuel | Eric-Emmanuel Schmitt | Emmanuel Le Roy Ladurie | Emmanuel Jal | Emmanuel Goldstein | Emmanuel Petit | Emmanuel III Delly | Emmanuel Constant | Emmanuel Candès | Emmanuel Berl | Emmanuel Bénézit | Wilhelm Emmanuel Freiherr von Ketteler | Werner Emmanuel Bachmann | Victor Emmanuel I of Sardinia | Pierre-Emmanuel Dalcin | Jean-Emmanuel Effa Owona | Emmanuel Uduaghan | Emmanuel (singer) | Emmanuel Pierre-Antoine | Emmanuel Osei Kuffour |