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Compressed sensing is an emerging field based on the revelation that a small collection of linear projections of a sparse signal contains enough information for reconstruction. In this paper weâ€¦ (More)

- Yaron Rachlin, Dror Z. Baron
- 2008 46th Annual Allerton Conference onâ€¦
- 2008

Results in compressed sensing describe the feasibility of reconstructing sparse signals using a small number of linear measurements. In addition to compressing the signal, do these measurementsâ€¦ (More)

- Michael B. Wakin, Jason N. Laska, +5 authors Richard G. Baraniuk
- 2006

Compressive Sensing is an emerging field based on the revelation that a small group of nonadaptive linear projections of a compressible signal contains enough information for reconstruction andâ€¦ (More)

- Dongning Guo, Dror Z. Baron, Shlomo Shamai
- 2009 47th Annual Allerton Conference onâ€¦
- 2009

Compressed sensing deals with the reconstruction of a high-dimensional signal from far fewer linear measurements, where the signal is known to admit a sparse representation in a certain linear space.â€¦ (More)

Compressed sensing is an emerging field based on the revelation that a small group of linear projections of a sparse signal contains enough information for reconstruction. In this paper we introduceâ€¦ (More)

Compressed sensing is an emerging field based on the revelation that a small group of linear projections of a sparse signal contains enough information for reconstruction. I n this paper we introduceâ€¦ (More)

Discontinuities in data often represent the key information of interest. Efficient representations for such discontinuities are important for many signal processing applications, includingâ€¦ (More)

where each Î¸j is supported only on Î© âŠ‚ {1, 2, . . . , N}, with |Î©| = K. The matrix Î¨ is orthonormal, with dimension N Ã— N (we consider only signals sparse in an orthonormal basis). We denote by Î¦jâ€¦ (More)

The compressed sensing (CS) framework has been proposed for efficient acquisition of sparse and compressible signals through incoherent measurements. In our recent work, we introduced a new conceptâ€¦ (More)

- Jin Tan, Dror Z. Baron, Liyi Dai
- 2014

Consider the estimation of a signal x âˆˆ R from noisy observations r = x+ z, where the input x is generated by an independent and identically distributed (i.i.d.) Gaussian mixture source, and z isâ€¦ (More)