100
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Efficient projection onto a low-dimensional ball

ORCID Icon, ORCID Icon &
Pages 537-548 | Received 25 Apr 2017, Accepted 23 Apr 2018, Published online: 25 May 2018

References

  • Allen, J. B., and D. A. Berkley. 1979. “Image Method for Efficiently Simulating Small-Room Acoustics.” Journal of the Acoustical Society of America 65 (4): 943–950. doi: 10.1121/1.382599
  • Betlehem, T., P. D. Teal, and Y. Hioka. 2012. “Efficient Crosstalk Canceler Design with Impulse Response Shortening Filters.” In Proceedings of the 37th IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2012), 393–396. Piscataway, NJ: IEEE.
  • Betlehem, T., and C. Withers. 2012. “Sound Field Reproduction with Energy Constraint on Loudspeaker Weights.” IEEE/ACM Transactions on Audio, Speech and Language Processing 20 (8): 2388–2392. doi:10.1109/TASL.2012.2199981
  • Boyle, J. P., and R. L. Dykstra. 1986. “A Method for Finding Projections onto the Intersection of Convex Sets in Hilbert Spaces.” In Advances in Order Restricted Statistical Inference, edited by R. Dykstra, T. Robertson, and F. T. Wright, 28–47, Vol. 37 of Lecture Notes in Statistics. New York: Springer. doi: 10.1007/978-1-4613-9940-7_3
  • Bradley, J. S., and H. Sato. 2003. “On the Importance of Early Reflections for Speech in Rooms.” Journal of the Acoustical Society of America 113 (6): 3233–3244. doi: 10.1121/1.1570439
  • Brègman, L. M. 1965. “The Method of Successive Projection for Finding a Common Point of Convex Sets.” Soviet Mathematics—Doklady 6 (3): 688–692.
  • Censor, Y. 1988. “Parallel Application of Block-Iterative Methods in Medical Imaging and Radiation Therapy.” Mathematical Programming 42 (1-3): 307–325. doi: 10.1007/BF01589408
  • Combettes, P. L. 1993. “The Foundations of Set Theoretic Estimation.” Proceedings of the IEEE 81 (2): 182–208. doi: 10.1109/5.214546
  • Donoho, D. L., and J. M. Johnstone. 1994. “Ideal Spatial Adaptation by Wavelet Shrinkage.” Biometrika 81 (3): 425–455. doi: 10.1093/biomet/81.3.425
  • Fielder, L. D. 2001. “Practical Limits for Room Equalization.” In Audio Engineering Society 111th Convention, Paper No. 5481. http://www.aes.org/e-lib/browse.cfm?elib=9835
  • Gill, P. E., and D. P. Robinson. 2012. “A Primal–Dual Augmented Lagrangian.” Computational Optimization and Applications 51 (1): 1–25. doi:doi: 10.1007/s10589-010-9339-1
  • Johnston, J. D. 1988. “Transform Coding of Audio Signals Using Perceptual Noise Criteria.” IEEE Journal of Selected Areas in Communications 6 (2): 314–323. doi:doi: 10.1109/49.608
  • Jungmann, J. O., R. Mazur, M. Kallinger, T. Mei, and A. Mertins. 2012. “Combined Acoustic MIMO Channel Crosstalk Cancellation and Room Impulse Response Reshaping.” IEEE/ACM Transactions on Audio, Speech and Language Processing 20 (6): 1829–1842. doi: 10.1109/TASL.2012.2190929
  • Jungmann, J. O., R. Mazur, and A. Mertins. 2013. “Perturbation of Room Impulse Responses and its Application in Robust Listening Room Compensation.” In Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2013), 433–437. Piscataway, NJ: IEEE.
  • Jungmann, J. O., R. Mazur, and A. Mertins. 2014. “Joint Time-Domain Reshaping and Frequency-Domain Equalization of Room Impulse Responses.” In Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2014), 6692–6696. Piscataway, NJ: IEEE.
  • Jungmann, J. O., R. Mazur, and A. Mertins. 2015. “Joint Time- and Frequency-Domain Reshaping of Room Impulse Responses.” In Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2015), 733–737. Piscataway, NJ: IEEE.
  • Jungmann, J. O., T. Mei, S. Goetze, and A. Mertins. 2011. “Room Impulse Response Reshaping by Joint Optimization of Multiple p-norm Based Criteria.” In Proceedings of the 19th European Signal Processing Conference (EUSIPCO 2011), 1658–1662. Piscataway, NJ: IEEE.
  • Kahrs, M., and K. Brandenburg, eds. 2002. “Applications of Digital Signal Processing to Audio and Acoustics.” In Perceptual Coding of High Quality Digital Audio, 39–83. New York: Kluwer.
  • Kallinger, M., and A. Mertins. 2005. “Impulse Response Shortening for Acoustic Listening Room Compensation.” In International Workshop on Acoustic Echo & Noise Control, edited by C.P. Janse, M. Moonen and P.C.W. Sommen, 197–200. Eindhoven: Technische Universiteit Eindhoven.
  • Kallinger, M., and A. Mertins. 2006. “Multi-Channel Room Impulse Response Shaping—A Study.” In Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2006), 101–104. Piscataway, NJ: IEEE. doi: 10.1109/ICASSP.2006.1661222
  • Krishnan, L., T. Betlehem, and P. D. Teal. 2014. “A Sparsity Based Approach for Acoustic Room Impulse Response Shortening.” In Proceedings of the IEEE Statistical Signal Processing Workshop (SSP2014). Piscataway, NJ: IEEE. doi: 10.1109/SSP.2014.6884631
  • Krishnan, L., P. D. Teal, and T. Betlehem. 2015. “A Robust Sparse Approach to Acoustic Impulse Response Shaping.” In Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2015), 738–742. Piscataway, NJ: IEEE. doi: 10.1109/ICASSP.2015.7178067
  • Kuttruff, H. 2009. Room Acoustics. 5th ed. New York: Spon Press.
  • Makhoul, J., and J. Wolf. 1972. Linear Prediction and the Spectral Analysis of Speech. Technical Report 2304. Cambridge, MA: Bolt, Beranek and Newman.
  • Radlovic, B. D., R. C. Williamson, and R. A. Kennedy. 2000. “Equalization in an Acoustic Reverberant Environment: Robustness Results.” IEEE Transactions on Speech and Audio Processing 8 (3): 311–319. doi:doi: 10.1109/89.841213
  • Rees, E. L. 1922. “Graphical Discussion of the Roots of a Quartic Equation.” American Mathematical Monthly 29 (2): 51–55. doi: 10.1080/00029890.1922.11986100
  • Tomioka, R., T. Suzuki, and M. Sugiyama. 2011. “Super-Linear Convergence of Dual Augmented Lagrangian Algorithm for Sparsity Regularized Estimation.” Journal of Machine Learning Research 12: 1537–1586.
  • Yang, A., A. Ganesh, Z. Zhou, S. Sastry, and Y. Ma. 2010. Fast ℓ1 Minimisation Algorithms and an Application in Robust Face Recognition: A Review. Technical Report UCB/EECS-2010-13. Berkeley, CA: Electrical Engineering and Computer Science Department, University of California. http://www.eecs.berkeley.edu/Pubs/TechRpts/2010/EECS-2010-13.html
  • Youla, D. C., and H. Webb. 1982. “Image Restoration by the Method of Convex Projections: Part I—Theory.” IEEE Transactions on Medical Imaging 1 (2): 81–94. doi: 10.1109/TMI.1982.4307555

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.