Beating Nyquist with light: a compressively sampled photonic link

被引：81
作者：
Nichols, J. M. [1 ]
Bucholtz, F. [1 ]
机构：
[1] USN, Res Lab, Washington, DC 20375 USA
来源：
OPTICS EXPRESS | 2011年 / 19卷 / 08期
关键词：
RECONSTRUCTION;
D O I：
10.1364/OE.19.007339
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We report the successful demonstration of a compressively sampled photonic link. The system takes advantage of recent theoretical developments in compressive sampling to enable signal recovery beyond the Nyquist limit of the digitizer. This rather remarkable result requires that (1) the signal being recovered has a sparse (low-dimensional) representation and (2) the digitized samples be incoherent with this representation. We describe an all-photonic system architecture that meets these requirements and then show that 1GHz harmonic signals can be faithfully reconstructed even when digitizing at 500MS/s, well below the Nyquist rate. (C) 2011 Optical Society of America
引用
收藏
页码：7339 / 7348
页数：10
相关论文
共 18 条
[1]   Compressive sensing [J].
Baraniuk, Richard G. .
IEEE SIGNAL PROCESSING MAGAZINE, 2007, 24 (04) :118-+
[2]   Robust uncertainty principles:: Exact signal reconstruction from highly incomplete frequency information [J].
Candès, EJ ;
Romberg, J ;
Tao, T .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2006, 52 (02) :489-509
[3]   Decoding by linear programming [J].
Candes, EJ ;
Tao, T .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2005, 51 (12) :4203-4215
[4]   An introduction to compressive sampling: A sensing/sampling paradigm that goes against the common knowledge in data acquisition [J].
Candes, Emmanuel J. ;
Wakin, Michael B. .
IEEE Signal Processing Magazine, 2008, 25 (02) :21-30
[5]   Microwave photonics combines two worlds [J].
Capmany, Jose ;
Novak, Dalma .
NATURE PHOTONICS, 2007, 1 (06) :319-330
[6]   A single-pixel terahertz imaging system based on compressed sensing [J].
Chan, Wai Lam ;
Charan, Kriti ;
Takhar, Dharmpal ;
Kelly, Kevin F. ;
Baraniuk, Richard G. ;
Mittleman, Daniel M. .
APPLIED PHYSICS LETTERS, 2008, 93 (12)
[7]   Compressed sensing [J].
Donoho, DL .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2006, 52 (04) :1289-1306
[8]   Single-pixel imaging via compressive sampling [J].
Duarte, Marco F. ;
Davenport, Mark A. ;
Takhar, Dharmpal ;
Laska, Jason N. ;
Sun, Ting ;
Kelly, Kevin F. ;
Baraniuk, Richard G. .
IEEE SIGNAL PROCESSING MAGAZINE, 2008, 25 (02) :83-91
[9]   Gradient Projection for Sparse Reconstruction: Application to Compressed Sensing and Other Inverse Problems [J].
Figueiredo, Mario A. T. ;
Nowak, Robert D. ;
Wright, Stephen J. .
IEEE JOURNAL OF SELECTED TOPICS IN SIGNAL PROCESSING, 2007, 1 (04) :586-597
[10]   Super-resolution and reconstruction of sparse sub-wavelength images [J].
Gazit, Snir ;
Szameit, Alexander ;
Eldar, Yonina C. ;
Segev, Mordechai .
OPTICS EXPRESS, 2009, 17 (26) :23920-23946
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