DMCA
A Potential Theory of General Spatially-Coupled Systems via a Continuum Approximation
Citations
| 137 | Threshold saturation via spatial coupling: why convolutional LDPC ensembles perform so well over the BEC,” e-print,
- Kudekar, Richardson, et al.
- 2010
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Citation Context ...olution that minimizes the potential over all stationary solutions, the systems can approach the optimal performance as the number of coupled systems tends to infinity. I. INTRODUCTION Kudekar et al. =-=[1]-=- proved that spatial coupling can improve the belief-propagation (BP) performance of low-density paritycheck (LDPC) codes up to the maximum-a-posteriori (MAP) performance. This phenomenon, called thre... |
| 51 | Information-theoretically optimal compressed sensing via spatial coupling and approximate message passing
- Donoho, Javanmard, et al.
- 2011
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Citation Context ...ration, has been observed in many other spatially-coupled (SC) systems, such as the MacKay-Neal and Hsu-Anastasopoulos codes [2], code-division multiple-access (CDMA) [3]–[5], compressed sensing [6], =-=[7]-=-, and physical models [8]. Thus, threshold saturation via spatial coupling is believed to be a universal phenomenon. In order to prove the universality of threshold saturation, theoretical analyses ha... |
| 27 | Improvement of BP-based CDMA multiuser detection by spatial coupling,” in
- Takeuchi, Tanaka, et al.
- 2011
(Show Context)
Citation Context ...phenomenon, called threshold saturation, has been observed in many other spatially-coupled (SC) systems, such as the MacKay-Neal and Hsu-Anastasopoulos codes [2], code-division multiple-access (CDMA) =-=[3]-=-–[5], compressed sensing [6], [7], and physical models [8]. Thus, threshold saturation via spatial coupling is believed to be a universal phenomenon. In order to prove the universality of threshold sa... |
| 26 |
Statistical-physics-based reconstruction in compressed sensing,” Physical Review X,
- Krzakala, Mezard, et al.
- 2012
(Show Context)
Citation Context ... saturation, has been observed in many other spatially-coupled (SC) systems, such as the MacKay-Neal and Hsu-Anastasopoulos codes [2], code-division multiple-access (CDMA) [3]–[5], compressed sensing =-=[6]-=-, [7], and physical models [8]. Thus, threshold saturation via spatial coupling is believed to be a universal phenomenon. In order to prove the universality of threshold saturation, theoretical analys... |
| 22 | Multiple Access Demodulation in the Lifted Signal Graph with Spatial Coupling,” in
- Schlegel, Truhachev
- 2011
(Show Context)
Citation Context ...omenon, called threshold saturation, has been observed in many other spatially-coupled (SC) systems, such as the MacKay-Neal and Hsu-Anastasopoulos codes [2], code-division multiple-access (CDMA) [3]–=-=[5]-=-, compressed sensing [6], [7], and physical models [8]. Thus, threshold saturation via spatial coupling is believed to be a universal phenomenon. In order to prove the universality of threshold satura... |
| 14 |
A phenomenological study on threshold improvement via spatial coupling
- Takeuchi, Tanaka, et al.
- 2012
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Citation Context ...ing is believed to be a universal phenomenon. In order to prove the universality of threshold saturation, theoretical analyses have been performed for general SC systems with one-dimensional coupling =-=[9]-=-–[11]. The methodologies are classified into those based on potential functions [9], [10] and on extrinsic information transfer (EXIT) functions [11]. Potential functions were also used for the analys... |
| 13 | Chains of mean-field models
- Hassani, Macris, et al.
- 2012
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Citation Context ... in many other spatially-coupled (SC) systems, such as the MacKay-Neal and Hsu-Anastasopoulos codes [2], code-division multiple-access (CDMA) [3]–[5], compressed sensing [6], [7], and physical models =-=[8]-=-. Thus, threshold saturation via spatial coupling is believed to be a universal phenomenon. In order to prove the universality of threshold saturation, theoretical analyses have been performed for gen... |
| 11 | Wave-like solutions of general one-dimensional spatially coupled systems,” arXiv preprint arXiv:1208.5273
- Kudekar, Richardson, et al.
- 2012
(Show Context)
Citation Context ...is believed to be a universal phenomenon. In order to prove the universality of threshold saturation, theoretical analyses have been performed for general SC systems with one-dimensional coupling [9]–=-=[11]-=-. The methodologies are classified into those based on potential functions [9], [10] and on extrinsic information transfer (EXIT) functions [11]. Potential functions were also used for the analysis of... |
| 8 | Spatially-coupled MacKay-Neal codes and Hsu-Anastasopoulos codes
- Kasai, Sakaniwa
(Show Context)
Citation Context ...imum-a-posteriori (MAP) performance. This phenomenon, called threshold saturation, has been observed in many other spatially-coupled (SC) systems, such as the MacKay-Neal and Hsu-Anastasopoulos codes =-=[2]-=-, code-division multiple-access (CDMA) [3]–[5], compressed sensing [6], [7], and physical models [8]. Thus, threshold saturation via spatial coupling is believed to be a universal phenomenon. In order... |
| 6 | A simple proof of threshold saturation for coupled vector recursions
- Yedla, Jian, et al.
- 2012
(Show Context)
Citation Context ...shold saturation, theoretical analyses have been performed for general SC systems with one-dimensional coupling [9]–[11]. The methodologies are classified into those based on potential functions [9], =-=[10]-=- and on extrinsic information transfer (EXIT) functions [11]. Potential functions were also used for the analysis of threshold saturation in [7], [8]. The potentialbased methodology has the advantage ... |
| 1 | Multi-dimensional spatiallycoupled codes,” accepted for publication
- Ohashi, Kasai, et al.
- 2013
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Citation Context ...ral SC vector systems with multi-dimensional coupling is simply referred to as generalized SC (GSC) systems. Multi-dimensional coupling can provide robustness of convergence against burst errors. See =-=[12]-=- for the details. The main contributions of this paper are summarized as follows: (i) The potential function defined in [10] is systematically derived via the continuum approximation. (ii) Multidimens... |
