2019
DOI: 10.1109/tit.2018.2859327
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Limits on Sparse Data Acquisition: RIC Analysis of Finite Gaussian Matrices

Abstract: One of the key issues in the acquisition of sparse data by means of compressed sensing (CS) is the design of the measurement matrix. Gaussian matrices have been proven to be information-theoretically optimal in terms of minimizing the required number of measurements for sparse recovery. In this paper we provide a new approach for the analysis of the restricted isometry constant (RIC) of finite dimensional Gaussian measurement matrices. The proposed method relies on the exact distributions of the extreme eigenv… Show more

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Cited by 21 publications
(6 citation statements)
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“…leading to (60) obtained by substituting the derived RIS phases in (56) and distribute the summations. Finally, by combining ( 56) and ( 60), the designed phases for the RIS that accounts for the direct and reflected paths can be written, for each k ∈ {1, 2,…”
Section: Ris Phase Designmentioning
confidence: 99%
“…leading to (60) obtained by substituting the derived RIS phases in (56) and distribute the summations. Finally, by combining ( 56) and ( 60), the designed phases for the RIS that accounts for the direct and reflected paths can be written, for each k ∈ {1, 2,…”
Section: Ris Phase Designmentioning
confidence: 99%
“…On the other hand, due to the limitation of its caching mechanism, it does not support rapid collection and retrieval of large amounts of data, resulting in low overall efficiency. In order to solve these problems, a new type of big data collection platform is designed based on Hadoop and NoSQL technologies, through which efficient unbalanced data collection is realized, and the data foundation is provided for the subsequent storage and processing of data [11,12]. Figure 1 is a schematic diagram of the overall architecture of the unbalanced big data collection platform.…”
Section: Design Of Unbalanced Big Data Collection Platformmentioning
confidence: 99%
“…Again, we believe that this problem can be solved with the help of the communications engineering community. For example, novel techniques for wide spectrum monitoring can be achieved by using sub-Nyquist analog-to-digital converters (ADCs) exploiting the sparsity and spatio-temporal structures of the measurements, in the context of compressed sensing [273]- [280].…”
Section: ) Deployment Of Pervasive Emf Measurement Campaigns and Data Integrationmentioning
confidence: 99%