Skip to main content
Top

2016 | OriginalPaper | Chapter

Efficient Implementation of Givens QR Decomposition on VLIW DSP Architecture for Orthogonal Matching Pursuit Image Reconstruction

Authors : Mohamed Najoui, Anas Hatim, Mounir Bahtat, Said Belkouch

Published in: Proceedings of the Mediterranean Conference on Information & Communication Technologies 2015

Publisher: Springer International Publishing

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

search-config
loading …

Abstract

Orthogonal Matching Pursuit (OMP) is one of the most used image reconstruction algorithm in compressed sensing technique (CS). This algorithm can be divided into two main stages: optimization problem and least square problem (LSP). The most complex and time consuming step of OMP is the LSP resolution. QR decomposition is one of the most used techniques to solve the LSP in a reduced processing time. In this paper, an efficient and optimized implementation of QR decomposition on TMS320C6678 floating point DSP is introduced. A parallel Givens algorithm is designed to make better use of the 2-way set associative cache. A special data arrangement was adopted to avoid cache misses and allow the use of some intrinsic functions. Our implementation reduces significantly the processing time; it is 6.7 times faster than the state of the art implementations. We have achieved a 1-core performance of 1.51 GFLOPS with speedups of up to x20 compared to Standard Givens Rotations (GR) algorithm.

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 Candes, E., Wakin, M.: An introduction to compressive sampling. Sig. Process. Mag. IEEE 25(2), 21–30 (2010)CrossRef Candes, E., Wakin, M.: An introduction to compressive sampling. Sig. Process. Mag. IEEE 25(2), 21–30 (2010)CrossRef
2.
go back to reference Yang, D., Li, H., Peterson, G.D., Fathy, A.: “Compressed sensing based UWB receiver: Hardware compressing and FPGA reconstruction”, In: Proceedings of 43rd Annual Conference Information Science Systems (CISS), pp. 198–201 (2009) Yang, D., Li, H., Peterson, G.D., Fathy, A.: “Compressed sensing based UWB receiver: Hardware compressing and FPGA reconstruction”, In: Proceedings of 43rd Annual Conference Information Science Systems (CISS), pp. 198–201 (2009)
3.
go back to reference Dixon, A.M.R., Allstot, E.G., Chen, A.Y., Gangopadhyay, D., Allstot, D.J.: “Compressed sensing reconstruction: Comparative study with applications to ECG bio-signals”, In: Proceedings of IEEE International Symposium Circuits Systems (ISCAS), pp. 805–808 (2011) Dixon, A.M.R., Allstot, E.G., Chen, A.Y., Gangopadhyay, D., Allstot, D.J.: “Compressed sensing reconstruction: Comparative study with applications to ECG bio-signals”, In: Proceedings of IEEE International Symposium Circuits Systems (ISCAS), pp. 805–808 (2011)
4.
go back to reference Herman, M.A., Strohmer, T.: High-resolution radar via compressed sensing. Sig. Process. IEEE Trans. 57(6), 2275–2284 (2009)MathSciNetCrossRef Herman, M.A., Strohmer, T.: High-resolution radar via compressed sensing. Sig. Process. IEEE Trans. 57(6), 2275–2284 (2009)MathSciNetCrossRef
5.
go back to reference Yu, Y., Petropulu, A., Poor, H.:“Compressive sensing for mimo radar,” in acoustics, speech and signal processing, In: ICASSP 2009 IEEE International Conference, pp. 3017–3020 (2009) Yu, Y., Petropulu, A., Poor, H.:“Compressive sensing for mimo radar,” in acoustics, speech and signal processing, In: ICASSP 2009 IEEE International Conference, pp. 3017–3020 (2009)
6.
go back to reference Lustig, M., Donoho, D., Santos, J., Pauly, J.: Compressed sensing MRI. Sig. Process. Mag. IEEE 25(2), 72–82 (2008)CrossRef Lustig, M., Donoho, D., Santos, J., Pauly, J.: Compressed sensing MRI. Sig. Process. Mag. IEEE 25(2), 72–82 (2008)CrossRef
7.
go back to reference Tropp, J.A., Gilbert, A.C.: Signal recovery from random measurements via orthogonal matching pursuit. IEEE Trans. Inf. Theor. 53(12), 4655–4666 (2007)MathSciNetCrossRefMATH Tropp, J.A., Gilbert, A.C.: Signal recovery from random measurements via orthogonal matching pursuit. IEEE Trans. Inf. Theor. 53(12), 4655–4666 (2007)MathSciNetCrossRefMATH
8.
go back to reference El-Amawy, A., Dharmarajan, K.R.: Parallel VLSI algorithm for stable inversion of dense matrices, IEEE Proc. 136(6) (1989) El-Amawy, A., Dharmarajan, K.R.: Parallel VLSI algorithm for stable inversion of dense matrices, IEEE Proc. 136(6) (1989)
9.
go back to reference Heath, M.T.: Numerical methods for large sparse linear least squares problems, ORNL/CSD-114, Distribution category UC-32 (1983) Heath, M.T.: Numerical methods for large sparse linear least squares problems, ORNL/CSD-114, Distribution category UC-32 (1983)
10.
go back to reference Nikolic, Z., Nguyen, H.T., Frantz, G.: Design and implementation of numerical linear algebra algorithms on fixed point DSPs, EURASIP J. Adv. Sig. Process. 2007, p. 22 (2007). doi:10.1155/2007/87046 Nikolic, Z., Nguyen, H.T., Frantz, G.: Design and implementation of numerical linear algebra algorithms on fixed point DSPs, EURASIP J. Adv. Sig. Process. 2007, p. 22 (2007). doi:10.​1155/​2007/​87046
11.
go back to reference Maoudj, R., Fety, L., Alexandre, C.: Performance analysis of modified Gram-Schmidt Cholesky implementation on 16 bits-DSP-chip. Int. J. Comput. Digit. Syst. 2, 21–27 (2013). doi:10.12785/ijcds/020103 Maoudj, R., Fety, L., Alexandre, C.: Performance analysis of modified Gram-Schmidt Cholesky implementation on 16 bits-DSP-chip. Int. J. Comput. Digit. Syst. 2, 21–27 (2013). doi:10.​12785/​ijcds/​020103
12.
go back to reference Huang, Z.Y., Tsai, P.Y.: Efficient implementation of QR decomposition for gigabit MIMO-OFDM systems, In: IEEE Transactions on Circuits and Systems—I: Regular Papers, 58(10) (2011) Huang, Z.Y., Tsai, P.Y.: Efficient implementation of QR decomposition for gigabit MIMO-OFDM systems, In: IEEE Transactions on Circuits and Systems—I: Regular Papers, 58(10) (2011)
Metadata
Title
Efficient Implementation of Givens QR Decomposition on VLIW DSP Architecture for Orthogonal Matching Pursuit Image Reconstruction
Authors
Mohamed Najoui
Anas Hatim
Mounir Bahtat
Said Belkouch
Copyright Year
2016
DOI
https://doi.org/10.1007/978-3-319-30301-7_16