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On Asymptotic Incoherence and its Implications forCompressed Sensing…
www.damtp.cam.ac.uk/research/afha/anders/1DCoherence_6.pdf24 Jun 2014: wavelet basis,namely using boundary wavelets [24, Section 7.5.3]. ... 1,p], boundary scaling functions andwavelets (using the same notation as in [24] 8). -
On stable reconstructions from univariate nonuniform Fourier…
www.damtp.cam.ac.uk/research/afha/anders/1DNonuniformSamplingArxiv.pdf12 Jan 2014: the higher resolution obtained and the lower magnetic gradientsrequired to scan along such trajectories [24, 28, 31]. ... Note that our analog modelis the same as that used with great success in recent work of Guerquin-Kern, Haberlin, Pruessmann& Unser -
Weighted frames of exponentials and stable recovery of…
www.damtp.cam.ac.uk/research/afha/anders/2DNonuniformSamplingArXiv13May14.pdf31 May 2014: Weighted Fourier frames, which we also refer to as weighted frames of exponentials, werestudied by Gröchenig [25], and later also by Gabardo [24]. -
The quest for optimal sampling:Computationally efficient,…
www.damtp.cam.ac.uk/research/afha/anders/Book_chapter19.pdf26 Mar 2014: m Cka log(1 p1)log(n),. for some universal constant C > 0 [24]. ... 24]. This raises thequestion of whether there are alternatives which are satisfied by such matrices. -
Linear Stable Sampling Rate: Optimality of 2D WaveletReconstructions…
www.damtp.cam.ac.uk/research/afha/anders/SamplingRate_20140228.pdf8 Mar 2014: Linear Stable Sampling Rate: Optimality of 2D WaveletReconstructions from Fourier Measurements. Ben Adcock, Anders C. Hansen, Gitta Kutyniok, and Jackie Ma. March 1, 2014. AbstractIn this paper we analyze two-dimensional wavelet reconstructions from -
On asymptotic structure in compressed sensingBogdan Roman ∗, Ben ...
www.damtp.cam.ac.uk/research/afha/bogdan/Asymptotic_10a.pdf19 Jun 2014: 512. 512. Err 6.01%Err 6.01%. 1024. 10. 24. Err 3.60%Err 3.60%. ... 24), yet it is unclear how areal-world setup can be implemented where signals are sparse in atransform domain. -
On Asymptotic Incoherence and its Implications forCompressed Sensing…
www.damtp.cam.ac.uk/research/afha/people/alexj/1DCoherence_6.pdf21 Feb 2014: wavelet basis,namely using boundary wavelets [24, Section 7.5.3]. ... 1,p], boundary scaling functions andwavelets (using the same notation as in [24] 8). -
Analyzing the Structure of Multidimensional CompressedSensing…
www.damtp.cam.ac.uk/research/afha/people/alexj/dDCoherence9.pdf10 Jun 2014: Analyzing the Structure of Multidimensional CompressedSensing Problems through Coherence. A. JonesUniversity of Cambridge. B. AdcockPurdue Univesity. A. HansenUniversity of Cambridge. Abstract. In previous work it was established that asymptotic -
On Asymptotic Incoherence and its Implications forCompressed Sensing…
www.damtp.cam.ac.uk/research/afha/people/anders/1DCoherence_6.pdf24 Jun 2014: wavelet basis,namely using boundary wavelets [24, Section 7.5.3]. ... 1,p], boundary scaling functions andwavelets (using the same notation as in [24] 8). -
On stable reconstructions from univariate nonuniform Fourier…
www.damtp.cam.ac.uk/research/afha/people/anders/1DNonuniformSamplingArxiv.pdf12 Jan 2014: the higher resolution obtained and the lower magnetic gradientsrequired to scan along such trajectories [24, 28, 31]. ... Note that our analog modelis the same as that used with great success in recent work of Guerquin-Kern, Haberlin, Pruessmann& Unser
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