Skip to main content
Top

2015 | OriginalPaper | Chapter

4. Centralized Joint Recovery

Authors : Giulio Coluccia, Chiara Ravazzi, Enrico Magli

Published in: Compressed Sensing for Distributed Systems

Publisher: Springer Singapore

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This chapter surveys the basic concepts and algorithms for joint reconstruction from compressive measurements in a network of nodes. The nodes acquire measurements of a set of signals obeying a specific joint sparsity model, while a centralized fusion center collects the measurements of the entire network and jointly processes them to reconstruct the acquired signals.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Baron, D., Duarte, M.F., Wakin, M.B., Sarvotham, S., Baraniuk, R.G.: Distributed compressive sensing. arXiv preprint arXiv:0901.3403 (2009) Baron, D., Duarte, M.F., Wakin, M.B., Sarvotham, S., Baraniuk, R.G.: Distributed compressive sensing. arXiv preprint arXiv:​0901.​3403 (2009)
2.
go back to reference Mishali, M., Eldar, Y.C.: Reduce and boost: recovering arbitrary sets of jointly sparse vectors. IEEE Trans. Signal Process. 56(10), 4692–4702 (2008)CrossRefMathSciNet Mishali, M., Eldar, Y.C.: Reduce and boost: recovering arbitrary sets of jointly sparse vectors. IEEE Trans. Signal Process. 56(10), 4692–4702 (2008)CrossRefMathSciNet
3.
go back to reference Fornasier, M., Rauhut, H.: Recovery algorithms for vector-valued data with joint sparsity constraints. SIAM J. Numer. Anal. 46(2), 577–613 (2008)CrossRefMATHMathSciNet Fornasier, M., Rauhut, H.: Recovery algorithms for vector-valued data with joint sparsity constraints. SIAM J. Numer. Anal. 46(2), 577–613 (2008)CrossRefMATHMathSciNet
4.
go back to reference Hormati, A., Vetterli, M.: Distributed compressed sensing: sparsity models and reconstruction algorithms using annihilating filter. In: IEEE International Conference on Acoustics, Speech and Signal Processing 2008, pp. 5141–5144. ICASSP 2008, IEEE (2008) Hormati, A., Vetterli, M.: Distributed compressed sensing: sparsity models and reconstruction algorithms using annihilating filter. In: IEEE International Conference on Acoustics, Speech and Signal Processing 2008, pp. 5141–5144. ICASSP 2008, IEEE (2008)
5.
go back to reference Coluccia, G., Kuiteing, S.K., Abrardo, A., Barni, M., Magli, E.: Progressive compressed sensing and reconstruction of multidimensional signals using hybrid transform/prediction sparsity model. IEEE J. Emerg. Sel. Top. Circuits Syst. 2(3), 340–352 (2012)CrossRef Coluccia, G., Kuiteing, S.K., Abrardo, A., Barni, M., Magli, E.: Progressive compressed sensing and reconstruction of multidimensional signals using hybrid transform/prediction sparsity model. IEEE J. Emerg. Sel. Top. Circuits Syst. 2(3), 340–352 (2012)CrossRef
6.
go back to reference Tropp, J.A., Gilbert, A.C.: Signal recovery from random measurements via orthogonal matching pursuit. IEEE Trans. Inf. Theory 53, 4655–4666 (2007)CrossRefMATHMathSciNet Tropp, J.A., Gilbert, A.C.: Signal recovery from random measurements via orthogonal matching pursuit. IEEE Trans. Inf. Theory 53, 4655–4666 (2007)CrossRefMATHMathSciNet
7.
go back to reference Wakin, M.B., Duarte, M.F., Sarvotham, S., Baron, D., Baraniuk, R.G.: Recovery of jointly sparse signals from few random projections. In: NIPS (2005) Wakin, M.B., Duarte, M.F., Sarvotham, S., Baron, D., Baraniuk, R.G.: Recovery of jointly sparse signals from few random projections. In: NIPS (2005)
8.
go back to reference Xu, W., Lin, J., Niu, K., He, Z.: A joint recovery algorithm for distributed compressed sensing. Trans. Emerg. Telecommun. Technol. 23(6), 550–559 (2012)CrossRef Xu, W., Lin, J., Niu, K., He, Z.: A joint recovery algorithm for distributed compressed sensing. Trans. Emerg. Telecommun. Technol. 23(6), 550–559 (2012)CrossRef
9.
go back to reference Davenport, M.A., Boufounos, P.T., Baraniuk, R.G.: Compressive domain interference cancellation. Technical report, DTIC Document (2009) Davenport, M.A., Boufounos, P.T., Baraniuk, R.G.: Compressive domain interference cancellation. Technical report, DTIC Document (2009)
10.
go back to reference Schnelle, S., Laska, J., Hegde, C., Duarte, M., Davenport, M., Baraniuk, R.: Texas hold ’em algorithms for distributed compressive sensing. In: IEEE ICASSP. pp. 2886–2889 (2010) Schnelle, S., Laska, J., Hegde, C., Duarte, M., Davenport, M., Baraniuk, R.: Texas hold ’em algorithms for distributed compressive sensing. In: IEEE ICASSP. pp. 2886–2889 (2010)
11.
go back to reference Stankovic, V., Stankovic, L., Cheng, S.: Compressive image sampling with side information. In: 2009 16th IEEE International Conference on Image Processing (ICIP), pp. 3037–3040 (2009) Stankovic, V., Stankovic, L., Cheng, S.: Compressive image sampling with side information. In: 2009 16th IEEE International Conference on Image Processing (ICIP), pp. 3037–3040 (2009)
12.
go back to reference Coluccia, G., Magli, E., Roumy, A., Toto-Zarasoa, V., et al.: Lossy compression of distributed sparse sources: a practical scheme. In: 2011 European Signal Processing Conference (EUSIPCO) (2011) Coluccia, G., Magli, E., Roumy, A., Toto-Zarasoa, V., et al.: Lossy compression of distributed sparse sources: a practical scheme. In: 2011 European Signal Processing Conference (EUSIPCO) (2011)
13.
go back to reference Valsesia, D., Coluccia, G., Magli, E.: Joint recovery algorithms using difference of innovations for distributed compressed sensing. In: 2013 Asilomar Conference on Signals, Systems and Computers, IEEE, pp. 414–417 (2013) Valsesia, D., Coluccia, G., Magli, E.: Joint recovery algorithms using difference of innovations for distributed compressed sensing. In: 2013 Asilomar Conference on Signals, Systems and Computers, IEEE, pp. 414–417 (2013)
Metadata
Title
Centralized Joint Recovery
Authors
Giulio Coluccia
Chiara Ravazzi
Enrico Magli
Copyright Year
2015
Publisher
Springer Singapore
DOI
https://doi.org/10.1007/978-981-287-390-3_4