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Proceedings ArticleDOI

Radial basis function cascade network for Sparse signal Recovery (RASR)

TLDR
The proposed algorithm Radial basis function cascade network for Sparse signal Recovery (RASR) uses the L0 norm optimization, L2 least square method and feedback network model to improve the signal recovery performance and computational time over the existing ANN based CSIANN and relaxation based SL0 algorithms.
Abstract
The use of cascade network consisting of RBF nodes and least square error minimization block to Compressed Sensing for recovery of sparse signals is explored in this paper to improve the computation time and convergence. The proposed algorithm Radial basis function cascade network for Sparse signal Recovery (RASR) uses the L 0 norm optimization, L 2 least square method and feedback network model to improve the signal recovery performance and computational time over the existing ANN based CSIANN and relaxation based SL0 algorithms. The simulation results and experimental evluation of algorithm performance are presented here.

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Citations
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Proceedings ArticleDOI

Noise immunity analysis of compressed sensing recovery algorithms

TL;DR: The relaxation based algorithms are found to have better recovery precision, when the CS measurement is noisy; and the performance of ANN based RASR algorithm is found to be comparable to basis pursuit and IRLS algorithms.
Proceedings ArticleDOI

Compressed sensing recovery using polynomial approximated l 0 minimization of signal and error

TL;DR: The development of a computationally optimal Compressed Sensing recovery algorithm based on polynomial approximated L0 minimization of the objective signal x and the error projection, is discussed in this paper.
Proceedings ArticleDOI

Analysis of RBF cascade network for sparse signal recovery and application in telemetry

TL;DR: The proposed algorithm radial basis function cascade network for sparse signal recovery uses the L0 norm optimization, L2 least square method and feedback network model to improve the signal recovery performance and computational time over the existing ANN based and SL0 algorithms.
References
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Book

Compressed sensing

TL;DR: It is possible to design n=O(Nlog(m)) nonadaptive measurements allowing reconstruction with accuracy comparable to that attainable with direct knowledge of the N most important coefficients, and a good approximation to those N important coefficients is extracted from the n measurements by solving a linear program-Basis Pursuit in signal processing.
Journal ArticleDOI

Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information

TL;DR: In this paper, the authors considered the model problem of reconstructing an object from incomplete frequency samples and showed that with probability at least 1-O(N/sup -M/), f can be reconstructed exactly as the solution to the lscr/sub 1/ minimization problem.
Journal ArticleDOI

Atomic Decomposition by Basis Pursuit

TL;DR: Basis Pursuit (BP) is a principle for decomposing a signal into an "optimal" superposition of dictionary elements, where optimal means having the smallest l1 norm of coefficients among all such decompositions.
Journal ArticleDOI

An Introduction To Compressive Sampling

TL;DR: The theory of compressive sampling, also known as compressed sensing or CS, is surveyed, a novel sensing/sampling paradigm that goes against the common wisdom in data acquisition.
Journal ArticleDOI

Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit

TL;DR: It is demonstrated theoretically and empirically that a greedy algorithm called orthogonal matching pursuit (OMP) can reliably recover a signal with m nonzero entries in dimension d given O(m ln d) random linear measurements of that signal.
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