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Designing Tone Reservation PAR Reduction
EURASIP Journal on Advances in Signal Processing volume 2006, Article number: 038237 (2006)
Abstract
Tone reservation peak-to-average (PAR) ratio reduction is an established area when it comes to bringing down signal peaks in multicarrier (DMT or OFDM) systems. When designing such a system, some questions often arise about PAR reduction. Is it worth the effort? How much can it give? How much does it give depending on the parameter choices? With this paper, we attempt to answer these questions without resolving to extensive simulations for every system and every parameter choice. From a specification of the allowed spectrum, for instance prescribed by a standard, including a PSD-mask and a number of tones, we analytically predict achievable PAR levels, and thus implicitly suggest parameter choices. We use the ADSL2 and ADSL2+ systems as design examples.
References
Gatherer A, Polley M: Controlling clipping probability in DMT transmission. Proc. 31st Asilomar Conference on Signals, Systems, and Computers, November 1997, Pacific Grove, Calif, USA 1: 578–584.
Tellado-Mourelo J: Peak to average power reduction for multicarrier modulation, M.S. thesis. Stanford University, Stanford, Calif, USA; 1999.
Friese M: Multitone signals with low crest factor. IEEE Trans. Commun. 1997, 45(10):1338–1344. 10.1109/26.634697
Mestdagh DJG, Spruyt PMP: A method to reduce the probability of clipping in DMT-based transceivers. IEEE Trans. Commun. 1996, 44(10):1234–1238. 10.1109/26.539761
Popovic BM: Synthesis of power efficient multitone signals with flat amplitude spectrum. IEEE Trans. Commun. 1991, 39(7):1031–1033. 10.1109/26.87205
Bauml RW, Fischer RFH, Huber JB: Reducing the peak-to-average power ratio of multicarrier modulation by selected mapping. Electronics Letters 1996, 32(22):2056–2057. 10.1049/el:19961384
Jones DL: Peak power reduction in OFDM and DMT via active channel modification. Proc. 33rd Asilomar Conference on Signals, Systems, and Computers, October 1999, Pacific Grove, Calif, USA 2: 1076–1079.
Börjesson PO, Feichtinger HG, Grip N, et al.: A low-complexity PAR-reduction method for DMT-VDSL. Proc. 5th International Symposium on Digital Signal Processing for Communication Systems (DSPCS '99), February 1999, Perth, Australia 164–169.
Krongold BS, Jones DL: An active-set approach for OFDM PAR reduction via tone reservation. IEEE Trans. Signal Processing 2004, 52(2):495–509. 10.1109/TSP.2003.821110
Henkel W, Zrno V: PAR reduction revisited: an extension to Tellado's method. Proc. 6th International OFDM-Workshop (InOWo '01), September 2001, Hamburg, Germany 31-1–31-6.
Tellado-Mourelo J, Cioffi JM: Further results on peak-to-average ratio reduction. ANSI Document, T1E1.4 no. 98–252, August, 1998
Andgart N, Krongold BS, Ödling P, Johansson A, Börjesson PO: PSD-constrained PAR reduction for DMT/OFDM. EURASIP J. Appl. Signal Process. 2004, 2004(10):1498–1507. 10.1155/S1110865704403187
Petersson N, Johansson A, Ödling P, Börjesson PO: A performance bound on PSD-constrained PAR reduction. Proc. IEEE International Conference on Communications (ICC '03), May 2003, Anchorage, Alaska, USA 5: 3498–3502.
Wei S, Goeckel DL, Kelly PE: A modern extreme value theory approach to calculating the distribution of the peak-to-average power ratio in OFDM systems. Proc. IEEE International Conference on Communications (ICC '02), April–May 2002, New York, NY, USA 3: 1686–1690.
Petersson N: Peak and power reduction in multicarrier systems, Licentiate thesis. Lund University, Lund, Sweden; 2002.
ITU-T : Asymmetric digital subscriber line (ADSL) transceivers. Recommendation G.992.1, June 1999
ITU-T : Asymmetric digital subscriber line (ADSL) transceivers—2 (ADSL2). Recommendation G.992.3, July 2002
ITU-T : Asymmetric digital subscriber line (ADSL) transceivers—Extended bandwidth ADSL2 (ADSL2+). Recommendation G.992.5, May 2003
Ödling P, Petersson N, Johansson A, Börjesson PO: How much PAR to bring to the party? Proc. IEEE Nordic Signal Processing Symposium (NORSIG '02), October 2002, Tromsø-Trondheim, Norway
Luenberger DG: Linear and Nonlinear Programming. 2nd edition. Addison-Wesley, Reading, Mass, USA; 1984.
Petersson N, Johansson A, Ödling P, Börjesson PO: Analysis of tone selection for PAR reduction. Proc. 3rd International Conference on Information, Communications and Signal Processing (ICICS '01), October 2001, Singapore
Larsson N, Werner K: Signal peak reduction for power amplifiers with active termination, Master's thesis. Lund Institute of Technology, Lund, Sweden; 2002.
Lindgren G: Lectures on stationary stochastic processes, M.S. thesis. Mathematical Statistics, Lund University, Lund, Sweden; 2002.
Rice SO: Mathematical analysis of random noise. Bell Systems Technical Journal 1944, 23: 282–332.
Rice SO: Mathematical analysis of random noise. Bell Systems Technical Journal 1945, 24: 46–156.
Ochiai H, Imai H: On the distribution of the peak-to-average power ratio in OFDM signals. IEEE Trans. Commun. 2001, 49(2):282–289. 10.1109/26.905885
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Andgart, N., Ödling, P., Johansson, A. et al. Designing Tone Reservation PAR Reduction. EURASIP J. Adv. Signal Process. 2006, 038237 (2006). https://doi.org/10.1155/ASP/2006/38237
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DOI: https://doi.org/10.1155/ASP/2006/38237