The WSSUS pulse design problem in multicarrier transmission

IEEE Transactions on Communications

Volumn 55, Issue 10, 2007, Pages 1918-1928

  Jung, Peter ^a   Wunder, Gerhard ^a  

^a FRAUNHOFER HEINRICH HERTZ INSTITUTE   (Germany)

Author keywords

Frames; Gabor signaling; Isotropic orthogonal transform algorithm (IOTA); Offset quadrature amplitude modulation (OQAM); Orthogonal frequency division multiplexing (OFDM); Weyl Heisenberg group; Wide sense stationary uncorrelated scattering (WSSUS); Wilson basis

Indexed keywords

COMMUNICATION CHANNELS (INFORMATION THEORY); OPTIMIZATION; ORTHOGONAL FREQUENCY DIVISION MULTIPLEXING; QUADRATURE AMPLITUDE MODULATION; SIGNAL RECEIVERS;

GABOR SIGNALING; ISOTROPIC ORTHOGONAL TRANSFORM ALGORITHM; OFFSET-QUADRATURE AMPLITUDE MODULATION; WIDE-SENSE STATIONARY UNCORRELATED SCATTERING;

MOBILE TELECOMMUNICATION SYSTEMS;

EID: 36249003869     PISSN: 00906778     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCOMM.2007.906426     Document Type: Article

References (40)

1. P. Jung and G. Wunder, "On time-variant distortions in multicarrier with application to frequency offsets and phase noise," IEEE Trans. Commun., vol. 53, no. 9, pp. 1561-1570, Sep. 2005.
2. R. Chang, "Synthesis of band-limited orthogonal signals for multicarrier data transmission," Bell Syst. Tech. J., vol. 45, pp. 1775-1796, Dec. 1966.
3. B. L. Floch, M. Alard, and C. Berrou, "Coded orthogonal frequency division multiplex," Proc. IEEE, vol. 83, no. 6, pp. 982-996, Jun. 1995.
4. D. Lacroix, N. Goudard, and M. Alard, "OFDM with guard interval versus OFDM/offsetQAM for high data rate UMTS downlink transmission," in Proc. Veh. Technol. Conf. (VTC) 2001 Fall, 2001, vol. 4, pp. 2682-2686.
5. P. Jung, G. Wunder, and C. Wang (2004). "OQAM/IOTA downlink air interface for UMTS HSDPA evolution," in Proc. 9th Int. OFDM-Workshop Hamburg, pp. 153-157 [Online]. Available: ftp://ftp.hhi.de/jungp/publications/Conferences/inowo2004/Paper.pdf.
6. G. B. Folland, Harmonic Analysis in Phase Space. Princeton, NJ: Princeton University Press, 1989.
7. W. Miller, "Topics in harmonic analysis with application to radar and sonar," in Radar and Sonar I, R. Blahut, Ed. New York: Springer, 1991.
8. T. Strohmer and S. Beaver, "Optimal OFDM design for time-frequency dispersive channels," IEEE Trans. Commun., vol. 51, no. 7, pp. 1111-1122, Jul. 2003.
9. P. Bello, "Characterization of randomly time-variant linear channels," IEEE Trans. Commun., vol. COM-11, no. 4, pp. 360-393, Dec. 1963.
10. I. Daubechies, Ten Lecures on Wavelets. Philadelphia, PA: SIAM, 1992.
11. H. Bölcskei, "Orthogonal frequency division multiplexing based on offset QAM," in Chapter in "Advances in Gabor Theory," H. G. Feichtinger and T. Strohmer, Eds. Cambridge, MA; Birkhäuser, 2002.
12. I. Daubechies, S. Jaffard, and J. Joumé, "A simple Wilson orthonormal basis with exponential decay," SIAM J. Math. Anal., vol. 22, no. 2, pp. 554-572, 1991.
13. G. Kutyniok and T. Strohmer, "Wilson bases for general time-frequency lattices," SIAM J. Math. Anal., vol. 37, no. 3, pp. 685-711, 2005.
14. W. Kozek, "Matched Weyl Heisenberg expansions of nonstationary environments," Ph.D. dissertation, Vienna Univ. Technol., Vienna, Austria, 1996.
15. K. Liu, T. Kadous, and A. M. Sayeed, "Performance of orthogonal short-time Fourier signaling overdoubly dispersive channels," in presented at the IEEE Symp. Inf. Theory (ISIT2002), Lausanne, Switzerland, Jul. 2002.
16. A. Scaglione, G. Giannakis, and S. Barbarossa, "Redundant filterbank precoders and equalizers part 1: Unification and optimal designs," IEEE Trans. Signal Process., vol. 47, no. 7, pp. 1988-2006, Jul. 1999.
17. A. Scaglione, G. Giannakis, and S. Barbarossa, "Redundant filterbank precoders and equalizers part II: Blind channel estimation, synchronization, and direct equalization," IEEE Trans. Signal Process., vol. 47, no. 7, pp. 2007 2022, Jul. 1999.
18. H. G. Feichfinger and T. Strohmer, Gabor Analysis and Algorithms - Theory and Applications. Cambridge, MA: Birkhäuser, 1998.
19. O. Christensen, An Introduction to Frames and Riesz Bases. Cambridge, MA: Birkhäuser, 2003.
20. K. Gröchenig, Foundations of Time-Frequency Analysis. Cambridge, MA: Birkhäuser, 2001.
21. d)," Duke Math. J., vol. 89, no. 2, pp. 237-282, 1997.
22. W. Kozek and A. Molisch, "Nonorthogonal pulseshapes for multicarrier communications in doubly dispersive channels," IEEE J. Sel. Areas Commun., vol. 16, no. 8, pp. 1579-1589, Oct. 1998.
23. P. Jung. (2006). Weighted norms of cross ambiguity functions and Wigner distributions, in Proc. 2006 IEEE Int. Symp. Inf. Theory [Online]. Available: http://arxiv.org/abs/cs.IT/0601017
24. P. Jung and G. Wunder. (2004). Iterative pulse shaping for Gabor signaling in WSSUS channels, in Proc. 5th IEEE Workshop Signal Process. Adv. Wireless Commun., Lisboa, Portugal [Online]. Available: ftp://ftp.hhi.de/jungp/publications/Conferences/spawc2004/final.pdf
25. P. Jung and G. Wunder. (2005). A group-theoretic approach to the WSSUS pulse design problem, in Proc. 2005 IEEE Int. Symp. Inf. Theory [Online]. Available: http://arxiv.org/abs/cs.IT/0501082
26. C. H. Wilcox, "The synthesis problem for radar ambiguity functions," in Radar and Sonar I, R. Blahut, Ed. New York: Springer, 1991.
27. K. Liu, T. Kadous, and A. M. Sayeed, "Orthogonal time-frequency signaling over doubly dispersive channels," IEEE Trans. Inf. Theory vol. 50, no. 11, pp. 2583-2603, Nov. 2004.
28. A. Janssen and H. Boelcskei, "Equivalence of two methods for constructing tight Gabor frames," IEEE Signal Process. Lett., vol. 7, no. 4, pp. 79-82, Apr. 2000.
29. H. Bölcskei, P. Duhamel, and R. Hleiss, "Orthogonalization of OFDM/OQAM pulse shaping filters using the discrete Zak transform," Signal/Process. (EURASIP), vol. 83, no. 7, pp. 1379-1391, Jul. 2003.
30. H. C. Schweinler and E. P. Wigner, "Orthogonalization methods," J. Math. Phys., vol. 11, no. 5, pp. 1693-1694, May 1970.
31. P. Löwdin, "On the non-orthogonality problem connected with the use of atomic wave functions in the theory of molecules and crystals," J. Chem. Phys., vol. 18, pp. 367-370, 1950.
32. A. Janssen and T. Strohmer, "Characterization and computation of canonical tight windows for Gabor frames," J. Fourier Anal. Appl. vol. 8, no. 1, pp. 1-28, 2002.
33. W. Stinespring, "Positive functions on C* -algebras," Proc. Am. Math. Soc., vol. 6, pp. 211-216, 1955.
34. A. Holevo, Probabilistic and Statistical Aspects of Quantum Theory Amsterdam, The Netherlands: North Holland, 1982.
35. M. Hall, "Gaussian noise and quantum-optical communication," Phys. Rev. A, Gen. Phys., vol. 50, no. 4, pp. 3295-3303, Oct. 1994.
36. C. Caves and K. Wodkiewics. (2004, Sep.). Fidelity of Gaussian channels, Open Syst. Inf. Dyn., vol. 11, pp. 309-323 [Online]. Available: http://arxiv.org/abs/quant-ph/0409063
37. P. Jung. (2005). Precoding for 2 × 2 doubly-dispersive WSSUS channels, in Proc. 6th Int. ITG-Conf. Source Channel Coding (SCC 2006 [Online]. Available: http://arxiv.org/abs/cs.IT/0501058
38. H. Konno, "A cutting plane algorithm for solving bilinear programs," Math. Program., vol. 11, pp. 14-41, 1976.
39. D. Schafhuber, G. Matz, and F. Hlawatsch, "Pulse-shaping OFDM/BFDM systems for time-varying channels: ISI/ICI analysis, optimal pulse design, and efficient implementation," in Proc. IEEE PIMRC-2002, Lisbon, Portugal, pp. 1012-1016.
40. P. Jung. (2004). "OQAM/IOTA downlink air interface for 3G/4G," Fraunhofer German-Sino Lab for Mobile Communications (MCI), Tech. Rep. [Online]. Available: Ftp://ftp.hhi.de/jungp/publications/ TechReports/iota_techreport05.pdf