Publications [#336786] of Vahid Tarokh

Papers Published

1. Akçakaya, M; Tarokh, V, Noisy compressive sampling limits in linear and sublinear regimes, Ciss 2008, the 42nd Annual Conference on Information Sciences and Systems (September, 2008), pp. 1-4, IEEE, ISBN 9781424422470 [doi]
   (last updated on 2023/06/01)

   Abstract:
   The authors have recently established a set of results that characterize the number of measurements required to recover a sparse signal in ℂM with L non-zero coefficients from compressed samples in the presence of noise. These results indicate that for a number of different recovery criteria, O(L) (an asymptotically linear multiple of L) measurements are necessary and sufficient for signal recovery, whenever L grows linearly as a function of M. We review these results that improve on the existing literature, which are mostly derived for a specific recovery algorithm based on convex programming, where O(L log(M-L)) measurements are required. The results discussed here also show that O(L log(M-L)) measurements are required in the sublinear regime (L = o(M)). © 2008 IEEE.