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Adaptive discovery of sparse signals in noise

Jarvis Haupt, Rui Castro, Robert Nowak
2008 2008 42nd Asilomar Conference on Signals, Systems and Computers  
A multi-step adaptive resampling procedure is proposed, and shown to be an effective approach when detecting high-dimensional sparse signals in noise.  ...  Large-sample analysis shows that for the sparse signal detection problems considered, the proposed adaptive sensing procedure outperforms the best possible detection methods based on non-adaptive sensing  ...  In general, we have shown that a simple adaptive procedure provably outperforms all non-adaptive sampling techniques when detecting sparse signals in additive noise.  ... 
doi:10.1109/acssc.2008.5074721 fatcat:n3qmz2oy3nfkha57ine2ocga3y

Distilled sensing for sparse recovery

Jarvis Haupt, Rui Castro, Robert Nowak, Richard G. Baraniuk
2010 Journal of the Acoustical Society of America  
This adaptivity in sensing results in rather surprising gains in sparse signal recoverydramatically weaker sparse signals can be recovered using DS compared with conventional non-adaptive sensing procedures  ...  A selective sampling procedure called distilled sensing (DS) is proposed, and shown to be an effective method for recovering sparse signals in noise.  ...  Acknowledgement The authors wish to thank Jiashun Jin for discussing the details of his work with them.  ... 
doi:10.1121/1.3384822 fatcat:3iasjjbxhnhn3k37fgonwrvc2e

Multichannel active noise control for spatially sparse noise fields

Jihui Zhang, Thushara D. Abhayapala, Prasanga N. Samarasinghe, Wen Zhang, Shouda Jiang
2016 Journal of the Acoustical Society of America  
The work of J.Z. was sponsored by the China Scholarship Council with the Australian National University.  ...  Acknowledgment This work is supported by Australian Research Council (ARC) Discovery Projects funding scheme (project no. DP140103412).  ...  Hence the adaptive weights of the Leaky-MC algorithm are updated as dðn þ 1Þ ¼ ð1 À lqÞdðnÞ À lG H eðnÞ: Sparsity constrained adaptive ANC In this section, we exploit the sparse nature of the noise sources  ... 
doi:10.1121/1.4971878 pmid:28040042 fatcat:hnx3xjxdxbajffxcpljz4fa2mu

Sparse complex FxLMS for active noise cancellation over spatial regions

Jihui Zhangg, Thushara D. Abhayapala, Prasanga N. Samarasinghe, Wen Zhang, Shouda Jiang
2016 2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)  
In this paper, we investigate active noise control over large 2D spatial regions when the noise source is sparsely distributed.  ...  Simulation results demonstrate the performance and advantages of the proposed methods in terms of convergence rate and spatial noise reduction levels.  ...  Given the fact that most of the time, noise is unknown and timevarying, adaptive filters are employed to produce anti-noise signals.  ... 
doi:10.1109/icassp.2016.7471730 dblp:conf/icassp/ZhangASZJ16 fatcat:s7o3yemhybhj5bbebiu65quoqq

Finding needles in noisy haystacks

R. M. Castro, J. Haupt, R. Nowak, G. M. Raz
2008 Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing  
The theory of compressed sensing shows that samples in the form of random projections are optimal for recovering sparse signals in high-dimensional spaces (i.e., finding needles in haystacks), provided  ...  Consequently, the ability of compressed sensing to locate sparse components degrades significantly as noise increases.  ...  The data in Table 1 suggest that the adaptive procedure sequentially identifies true components of the signal, and the number of observations for each discovery depends on the SNR.  ... 
doi:10.1109/icassp.2008.4518814 dblp:conf/icassp/CastroHNR08 fatcat:niea67ztxbgfxjqwqutcmp2zb4

Sparse identification of nonlinear dynamics for rapid model recovery

Markus Quade, Markus Abel, J. Nathan Kutz, Steven L. Brunton
2018 Chaos  
Big data has become a critically enabling component of emerging mathematical methods aimed at the automated discovery of dynamical systems, where first principles modeling may be intractable.  ...  In this work, we propose a conceptual framework to recover parsimonious models of a system in response to abrupt changes in the low-data limit.  ...  ACKNOWLEDGEMENTS MQ was supported by a fellowship within the FITweltweit program of the German Academic Exchange Service (DAAD).  ... 
doi:10.1063/1.5027470 pmid:29960401 fatcat:brpma6ohwbgxpamjc3nelboioa

Adaptive Sparse Recovery of Medical Images with Variational Approach – Preliminary Study for CT Stroke [chapter]

Artur Przelaskowski
2014 Advances in Intelligent Systems and Computing  
Previously studied nonlinear approximation of the sparse signals in adjusted dictionaries was extended with variational approach to extract more precisely the content components.  ...  Extracted and visualized information covered in sensed data of imaging systems supports interpretation according to "second look" procedure.  ...  Stable signal recovery in noise is possible under a variety of common noise models, e.g. uniformly bounded noise or Gaussian noise.  ... 
doi:10.1007/978-3-319-06593-9_14 fatcat:o24s5f4wejbjbka4r4u7isxwfm

Introduction to the Issue on Compressive Sensing

Rick Chartrand, Richard G. Baraniuk, Yonina C. Eldar, Mrio A. T. Figueiredo, Jared Tanner
2010 IEEE Journal on Selected Topics in Signal Processing  
the field of compressive sensing, working on both algorithms for sparse signal reconstruction and the mathematical justification for these methods.  ...  algorithms can be reliably successful, despite the presence of huge numbers of local minima.  ...  Examples in this issue include modifications for dealing with wideband analog signals, measurements or signals with impulse noise, an adaptive filter approach to reconstruction, reconstruction methods  ... 
doi:10.1109/jstsp.2010.2043892 fatcat:cyqiuhsocrgvzhx62xgrq5cpsu

New Trends in Biologically-Inspired Audio Coding [chapter]

Ramin Pichevar, Hossein Najaf-Zadeh, Louis Thibault, Hassan Lahdili
2010 Signal Processing  
We show that the introduction of adaptiveness in the selection of gammachirp kernels enhances the compression rate compared to the case where the kernels are non-adaptive.  ...  We finally propose a method to extract frequent auditory objects (patterns) in the aforementioned sparse representations.  ...  Signal-to-Noise Ratio A sparse coding scheme can increase the signal-to-noise ratio (Field, 1994) .  ... 
doi:10.5772/8529 fatcat:utucwxa7cvgfjjrje3332upl2y

Connectivity Investigation of Channel Quality-Based Adaptive Gossip Flooding Mechanism for AODV

Prasanna Shete, Raval N Awale
2020 International Journal of Engineering and Technology Innovation  
In the earlier work, Gossip flooding mechanism of Haas et.al. was extended with signal quality, to propose channel quality based adaptive gossip flooding mechanism for AODV (CQAG-AODV).  ...  Results show that, by accounting the signal strength in the route discovery process, not only does the proposed algorithm floods a lesser number of route requests and controls the broadcast storm, but  ...  As discussed in previous sections, in the route discovery of CQAG-AODV, RREQs are flooded following adaptive gossip approach, where the gossip probability is decided on the basis of channel quality.  ... 
doi:10.46604/ijeti.2020.3812 fatcat:emdhlwgidzhrrbmxbcp3is7hwi

Improved bounds for sparse recovery from adaptive measurements

Jarvis Haupt, Rui Castro, Robert Nowak
2010 2010 IEEE International Symposium on Information Theory  
It is shown here that adaptivity in sampling results in dramatic improvements in the recovery of sparse signals in white Gaussian noise.  ...  An adaptive sampling-and-refinement procedure called distilled sensing is discussed and analyzed, resulting in fundamental new asymptotic scaling relationships in terms of the minimum feature strength  ...  sparse signals.  ... 
doi:10.1109/isit.2010.5513489 dblp:conf/isit/HauptCN10 fatcat:qdv64jqzrvednkbsnny6mkyfuy

Thresholding Greedy Pursuit for Sparse Recovery Problems [article]

Hai Le, Alexei Novikov
2021 arXiv   pre-print
We demonstrate that an appropriate choice of thresholding parameter, even without the knowledge of sparsity level of the signal and strength of the noise, can result in exact recovery with no false discoveries  ...  We study here sparse recovery problems in the presence of additive noise. We analyze a thresholding version of the CoSaMP algorithm, named Thresholding Greedy Pursuit (TGP).  ...  We are grateful to Anna Gilbert for suggesting to apply the conjugate gradient approach of CoSaMP to design of an iterative algorithm to solve Square-Root LASSO.  ... 
arXiv:2103.11893v1 fatcat:uv2rcjdys5gbvhh5olexs5j7wi

Compressed Sensing Adaptive Speech Characteristics Research

Long Tao
2014 Sensors & Transducers  
The sparsity of the speech signals is utilized in the DCT domain.  ...  According to the characteristics of the voice which may be separated into voiceless and voiced one, an adaptive measurement speech recovery method is proposed in this paper based on compressed sensing.  ...  discovery, location and access information technology research (NO: 2014FJ3040)".  ... 
doaj:63722022ffef4b39a4a6785df458c9c5 fatcat:b6vqha3rfjabrf2xfk5rjahcge

Compressed Neighbour Discovery using Sparse Kerdock Matrices [article]

Andrew Thompson, Robert Calderbank
2018 arXiv   pre-print
We study the network-wide neighbour discovery problem in wireless networks in which each node in a network must discovery the network interface addresses (NIAs) of its neighbours.  ...  We propose sparse Kerdock matrices as codebooks for the neighbour discovery problem.  ...  CN (0, 1) random variables and γ is the average channel gain in the SNR. Any signal received from non-neighbouring nodes is accounted for by the noise.  ... 
arXiv:1801.04537v1 fatcat:i5ki6gp6nzcmxlw76dalh3nzxi

Foveated Time Stretch [article]

Jacky C.K. Chan, Bahram Jalali
2018 arXiv   pre-print
We introduce this concept and discuss its potential application to encryption and context-aware detection of weak signals in noisy environments.  ...  Given prior knowledge of the spectral statistics, the SNR of optical waveforms can be manipulated in a reversible manner.  ...  This represents a new type of sparse sampling that operates in real-time (in contrast to conventional sparse sampling that requires multiple measurements followed by iterative algorithms for signal reconstruction  ... 
arXiv:1805.00143v1 fatcat:7yplmzuinvegbphd6e4fyctixm
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