High Order Limited Random Sequence in Analog-to-Information Converter for Distributed Compressive Sensing

Chao ZHANG; Zhipeng WU

doi:10.1587/transfun.E95.A.1998

High Order Limited Random Sequence in Analog-to-Information Converter for Distributed Compressive Sensing

Chao ZHANG, Zhipeng WU

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Limited Random Sequence (LRS) is quite important for Analog-to-Information Converter (AIC) because it determines the random sampling scheme and the resultant performance. LRS is established with the elements of “0” and “1”. The “1” appears randomly in the segment of the sequence, so that the production of the original signal and LRS can be considered as the approximation of the random sampling of the original signal. The random sampling result can perfectly recover the signal with Compressive Sensing (CS) algorithm. In this paper, a high order LRS is proposed for the AIC design in Distributed Compressive Sensing (DCS), which has the following three typical features: 1) The high order LRS has the elements of integer which can indicate the index number of the sensor in DCS. 2) High order LRS can adapt to the sparsity variation of the original signal detected by each sensor. 3) Employing the AIC with high order LRS, the DCS algorithm can recover the signal with very low sampling rate, usually above 2 orders less than the traditional distributed sensors. In the paper, the scheme and the construction algorithm of high order LRS are proposed. The performance is evaluated with the application studies of the distributed sensor network and the camera picture correspondingly.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E95-A No.11 pp.1998-2006

Publication Date: 2012/11/01

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Online ISSN: 1745-1337

DOI: 10.1587/transfun.E95.A.1998

Type of Manuscript: Special Section PAPER (Special Section on Smart Multimedia & Communication Systems)

Category: Digital Signal Processing

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Chao ZHANG, Zhipeng WU, "High Order Limited Random Sequence in Analog-to-Information Converter for Distributed Compressive Sensing" in IEICE TRANSACTIONS on Fundamentals, vol. E95-A, no. 11, pp. 1998-2006, November 2012, doi: 10.1587/transfun.E95.A.1998.
Abstract: Limited Random Sequence (LRS) is quite important for Analog-to-Information Converter (AIC) because it determines the random sampling scheme and the resultant performance. LRS is established with the elements of “0” and “1”. The “1” appears randomly in the segment of the sequence, so that the production of the original signal and LRS can be considered as the approximation of the random sampling of the original signal. The random sampling result can perfectly recover the signal with Compressive Sensing (CS) algorithm. In this paper, a high order LRS is proposed for the AIC design in Distributed Compressive Sensing (DCS), which has the following three typical features: 1) The high order LRS has the elements of integer which can indicate the index number of the sensor in DCS. 2) High order LRS can adapt to the sparsity variation of the original signal detected by each sensor. 3) Employing the AIC with high order LRS, the DCS algorithm can recover the signal with very low sampling rate, usually above 2 orders less than the traditional distributed sensors. In the paper, the scheme and the construction algorithm of high order LRS are proposed. The performance is evaluated with the application studies of the distributed sensor network and the camera picture correspondingly.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E95.A.1998/_p

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@ARTICLE{e95-a_11_1998,
author={Chao ZHANG, Zhipeng WU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={High Order Limited Random Sequence in Analog-to-Information Converter for Distributed Compressive Sensing},
year={2012},
volume={E95-A},
number={11},
pages={1998-2006},
abstract={Limited Random Sequence (LRS) is quite important for Analog-to-Information Converter (AIC) because it determines the random sampling scheme and the resultant performance. LRS is established with the elements of “0” and “1”. The “1” appears randomly in the segment of the sequence, so that the production of the original signal and LRS can be considered as the approximation of the random sampling of the original signal. The random sampling result can perfectly recover the signal with Compressive Sensing (CS) algorithm. In this paper, a high order LRS is proposed for the AIC design in Distributed Compressive Sensing (DCS), which has the following three typical features: 1) The high order LRS has the elements of integer which can indicate the index number of the sensor in DCS. 2) High order LRS can adapt to the sparsity variation of the original signal detected by each sensor. 3) Employing the AIC with high order LRS, the DCS algorithm can recover the signal with very low sampling rate, usually above 2 orders less than the traditional distributed sensors. In the paper, the scheme and the construction algorithm of high order LRS are proposed. The performance is evaluated with the application studies of the distributed sensor network and the camera picture correspondingly.},
keywords={},
doi={10.1587/transfun.E95.A.1998},
ISSN={1745-1337},
month={November},}

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TY - JOUR
TI - High Order Limited Random Sequence in Analog-to-Information Converter for Distributed Compressive Sensing
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1998
EP - 2006
AU - Chao ZHANG
AU - Zhipeng WU
PY - 2012
DO - 10.1587/transfun.E95.A.1998
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E95-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 2012
AB - Limited Random Sequence (LRS) is quite important for Analog-to-Information Converter (AIC) because it determines the random sampling scheme and the resultant performance. LRS is established with the elements of “0” and “1”. The “1” appears randomly in the segment of the sequence, so that the production of the original signal and LRS can be considered as the approximation of the random sampling of the original signal. The random sampling result can perfectly recover the signal with Compressive Sensing (CS) algorithm. In this paper, a high order LRS is proposed for the AIC design in Distributed Compressive Sensing (DCS), which has the following three typical features: 1) The high order LRS has the elements of integer which can indicate the index number of the sensor in DCS. 2) High order LRS can adapt to the sparsity variation of the original signal detected by each sensor. 3) Employing the AIC with high order LRS, the DCS algorithm can recover the signal with very low sampling rate, usually above 2 orders less than the traditional distributed sensors. In the paper, the scheme and the construction algorithm of high order LRS are proposed. The performance is evaluated with the application studies of the distributed sensor network and the camera picture correspondingly.
ER -