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Breaking the coherence barrier: A new theory for compressed sensing
TLDR
We introduce a mathematical framework that generalizes the three standard pillars of compressed sensing - namely, sparsity, incoherence and uniform random subsampling - to three new concepts: asymptotic sparsity and multilevel random sampling. Expand
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On asymptotic structure in compressed sensing
TLDR
This paper demonstrates how new principles of compressed sensing, namely asymptotic incoherence, asymmptotic sparsity and multilevel sampling, can be utilised to better understand underlying phenomena in practical compressed sensing. Expand
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Scalable Cross-Layer Wireless Access Control Using Multi-Carrier Burst Contention
TLDR
We present Multi-Carrier Burst Contention, a cross-layer protocol based on a contention scheme that spans both time and frequency domains, employing short and unmodulated energy bursts and a randomized and recursive node-elimination mechanism in order to resolve collisions. Expand
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Breaking the coherence barrier: asymptotic incoherence and asymptotic sparsity in compressed sensing
TLDR
We introduce a mathematical framework that bridges a substantial gap between compressed sensing theory and its current use in real-world applications. Expand
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Generalized sampling: stable reconstructions, inverse problems and compressed sensing over the continuum
TLDR
We propose a theory and set of methods for infinite-dimensional compressed sensing, or as we shall also refer to it, compressed sensing over the continuum. Expand
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The quest for optimal sampling: Computationally efficient, structure-exploiting measurements for compressed sensing
TLDR
An intriguing phenomenon in many instances of compressed sensing is that the reconstruction quality is governed not just by the overall sparsity of the object to recover, but also on its structure. Expand
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Multi-Carrier Burst Contention (MCBC): Scalable Medium Access Control for Wireless Networks
TLDR
We propose a high performance solution based on an innovative node elimination algorithm that uses short and unmodulated bursts of energy during contention - no data is exchanged. Expand
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A Note on Compressed Sensing of Structured Sparse Wavelet Coefficients From Subsampled Fourier Measurements
TLDR
We give the first proof of near-optimal recovery from discrete Fourier samples taken according to an appropriate variable density sampling scheme. Expand
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On fundamentals of models and sampling in compressed sensing
Sparsity is the traditional mainstay of the majority of compressed sensing. However, recent evidence suggests that in many applications where the sampling mechanism is fixed one does not recover allExpand
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Activity Based Sector Synchronisation: Efficient Transfer of Disk-State for WAN Live Migration
TLDR
We introduce the Activity Based Sector Synchronisation (ABSS) algorithm and show by trace-drivensimulations that ABSS is able to deliver a useful trade-off with a data transmission overhead between 0.3% and 2.4% of a gigabit link whilst incurring in the majority of cases a migration latency of less than 1.1 s. Expand
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