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A Review of Wavelets for Digital Wireless Communication

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Abstract

Wavelets have been favorably applied in almost all aspects of digital wireless communication systems including data compression, source and channel coding, signal denoising, channel modeling and design of transceivers. The main property of wavelets in these applications is in their flexibility and ability to characterize signals accurately. In this paper recent trends and developments in the use of wavelets in wireless communications are reviewed. Major applications of wavelets in wireless channel modeling, interference mitigation, denoising, OFDM modulation, multiple access, Ultra Wideband communications, cognitive radio and wireless networks are surveyed. The confluence of information and communication technologies and the possibility of ubiquitous connectivity have posed a challenge to developing technologies and architectures capable of handling large volumes of data under severe resource constraints such as power and bandwidth. Wavelets are uniquely qualified to address this challenge. The flexibility and adaptation provided by wavelets have made wavelet technology a strong candidate for future wireless communication.

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References

  1. Proceedings of the IEEE, Special Issue on Wavelets, April 1996.

  2. Proceedings of the IEEE, Special Issue on Filter Banks and Wavelets, Vol. 46, April 1998.

  3. A. Jamin and P. Mahonen, “Wavelet packet Modulation for Wireless Communications”, Wireless Communications & Mobile Computing Journal, John Wiley and Sons Ltd. Vol. 5, No. 2, pp. 123–137, Mar. 2005.

    Article  Google Scholar 

  4. B.G. Negash and H. Nikookar, “Wavelet-Based Multicarrier Transmission Over Multipath Wireless Channels”, IEE Electronics Letters, Vol. 36, No. 21, pp. 1787–1788, October 2000.

    Article  Google Scholar 

  5. G. Wornell, “Emerging Applications of Multirate Signal Processing and Wavelets in Digital Communications”, Proc. IEEE, Vol. 84, pp. 586–603, April 1996.

    Article  Google Scholar 

  6. M. Vetterli and I. Kovacevic, Wavelets and Subband Coding. Englewood Cliffs, New Jersey: Prentice Hall PTR, 1995.

    MATH  Google Scholar 

  7. I. Daubechies, Ten Lectures on Wavelets. Philadelphia: SIAM, 1992.

    MATH  Google Scholar 

  8. G. Strang and T. Nguyen, Wavelets and Filter Banks. Wellesley-Cambridge Press, 1996.

  9. P.P. Vaidyanathan, Multirate Systems and Filter Banks. Upper Saddle River, NJ: Prentice-Hall, Inc., 1993.

    MATH  Google Scholar 

  10. S. Mallat, “A Theory for Multiresolution Signal Decomposition: The Wavelet Representation”, IEEE Trans. Pattern Anal. Machine Intell, Vol. 11, pp. 674–693, July 1989.

    Article  MATH  Google Scholar 

  11. A. Cohen and J. Kovacevic, “Wavelets: The Mathematical Background”, Proc. IEEE, Vol. 84, No. 4, pp. 514–522, April 1996.

    Article  Google Scholar 

  12. C. Valens, “A Really Friendly Guide to Wavelets”, http://perso.wanadoo.fr/polyvalens/clemens/wavelets/wavelets.html.

  13. A. Graps, “Wavelet Overview”, http://www.amara.com/current/wavelet.html.

  14. R. Polikar, “The Engineer's Ultimate Guide to Wavelet Analysis”, http://users.rowan.edu/~polikar/WAVELETS/WTtutorial.html.

  15. The Mathworks, “Wavelets: A New Tool for Signal Analysis”, http://www.mathworks.com/access/helpdesk/help/toolbox/wavelet.

  16. C.S. Burrus, R.A. Gopinath, and H. Guo, Introduction to Wavelets and Wavelet Transforms, a Primer. Upper Saddle River, NJ (USA): Prentice Hall, 1998.

    Google Scholar 

  17. M. I. Doroslovacki and H.H. Fan, “Wavelet Based Linear System Modeling and Adaptive Filtering”, IEEE Trans. on Signal Processing, Vol. 44, No. 5, pp. 1156–1167, May 1996.

    Article  Google Scholar 

  18. H. Zhang, H. Fan, and A. Lindsey, “A Wavelet Packet Based Model for Time-Varying Wireless Communication Channels”, Proc. 3rd IEEE SPAWC Workshop, Taiwan, Mar. 2001.

  19. E. Jaffrot, “Wavelet Based Channel Model for OFDM Systems”, Proceedings of the 15th IEEE International Symposium on Personal, Indoor and Mobile Radio Communications, Vol. 1, pp. 704–708, September 2004.

  20. M. Martone, “Wavelet-Based Separating Kernels for Sequence Estimation with Unknown Rapidly Time-Varying Channels”, IEEE Communications Letters, Vol. 3, No. 3, pp. 78–80, Mar. 1999.

    Article  Google Scholar 

  21. M. Martone, “Wavelet-Based Separating Kernels for Array Processing of Cellular DS/CDMA Signals in Fast Fading”, IEEE Transactions on Communications, Vol. 48, No. 6, pp. 979–995, June 2000.

    Article  Google Scholar 

  22. B. Giannakis, “Time-Varying. System Identification and Model Validation Using Wavelets”, IEEE Trans Signal Processing, Vol. 41, No. 12, December 1993.

  23. H. Zhang and H. Fan, “An Indoor Wireless Channel Model Based on Wavelet Packets”, Proceedings of the 34th Asilomar Conference on Signals, Systems, & Computers, Pacific Grove, CA, USA, October 2000.

  24. T.K. Sarkar, M. Salazar-Palma, and M.C. Wicks, Wavelet Applications in Engineering Electromagnetics. Artech House, Inc, 2002.

  25. R. Narasimhan and D.C. Cox, “Speed Estimation in Wireless Systems Using Wavelets”, IEEE Transactions on Communications, Vol. 47, pp. 1357–1364, September 1999.

    Article  Google Scholar 

  26. M.H.C. Dias and G.L. Siqueira, “On the Use of Wavelet-Based Denoising to Improve Power Delay Profile Estimates from 1.8 GHz indoor wideband measurements”, Wireless Personal Communications, Vol. 32, No. 2, pp. 153–175, January 2005.

    Article  Google Scholar 

  27. S.D. Mantis, “Localization of Wireless Communication Emitters Using Time Difference of Arrival (TDOA) Methods in Noisy Channels”, Master's Thesis, Naval Post Graduate School, Monterey, CA. 2001.

  28. X. Fernando, S. Krishnan, and H. Sun, “Adaptive Denoising at Infrared Wireless Receivers”, SPIE 17th Annual Aerosense Symposium, Florida, Orlando, April 2003.

  29. T. Shibuya and S. Wada, “Wavelet Based Interference Reduction with Fuzzy Rule for MC-DS-CDMA System”, Proceedings of the IASTED International Conference on Signal and Image Processing, Vol. 5, pp. 257–262, 2003.

  30. Y. Zhang and J. Dill, “An Anti-Jamming Algorithm Using Wavelet Packet Modulated Spread Spectrum”, IEEE Military Communications Conference (MILCOM), No. 1, pp. 846–850, October 1999.

  31. W. Kozek and A.F. Molisch, “Nonorthogonal Pulseshapes for Multicarrier Communications in Doubly Dispersive Channels”, IEEE Selected Areas Comm., Vol. 16, pp. 1579–1589, 1998.

    Article  Google Scholar 

  32. M. Sablatash, J.H. Lodge, and C.J. Zarowski, “Theory and Design of Communication Systems Based on Scaling Functions, Wavelets, Wavelet Packets and Filter Banks”, in Proceedings of the Wireless 96, the 8th Intl. Conf. on Wireless Commun, Vol. 2, Calgary, Alberta, Canada, pp. 640–659, July 1996.

  33. N. Erdol, F. Bao, and Z. Chen, “Wavelet Modulation: A Prototype for Digital Communication Systems”, in IEEE Southcon Conference, pp. 168–171, 1995.

  34. F. Daneshgaran and M. Mondin, “Wavelets and Scaling Functions as Envelope Waveforms for Modulation,” in Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis, Philadelphia, Pennsylvania, pp. 504–507, October 1994.

  35. F. Daneshgaran and M. Mondin, “Bandwidth Efficient Modulation with Wavelets”, IEEE Electronics Letters, Vol. 30, pp. 1200–1202, July 1994.

    Article  Google Scholar 

  36. M. You and J. Ilow, “An Application of Multi-Wavelet Packets in Digital Communications”, 2nd IEEE Conf. on CNSR, Fredericton, NB, pp. 10–18, May 2004.

  37. J. Oliver, R.S.S. Kumari, and V. Sadasivam, “Wavelets for Improving Spectral Efficiency in a Digital Communication System”, Sixth International Conference on Computational Intelligence and Multimedia Applications (ICCIMA), pp. 198–203, 2005.

  38. F. Dovis, M. Mondin, and F. Daneshgaran, “The Modified Gaussian: A Novel Wavelet with Low Sidelobes with Applications to Digital Communications”, IEEE Transactions on Communications Letters, Vol. 2, No. 8, Aug. 1998.

  39. H.M. Newlin, “Developments in the Use of Wavelets in Communication Systems”, Proceedings of MILCOM, pp. 343–349, 1998.

  40. M. Luise, M. Marselli, and R. Reggiannini, “Clock Synchronization for Wavelet-Based Multirate Transmissions”, IEEE Transactions on Communications, Vol. 48, No. 6, pp. 1047–1054, June 2000.

    Article  Google Scholar 

  41. C.M. Fu, W.L. Hwang, and C.L. Huang, “Timing Acquisition for Wavelet-Based Multirate Transmissions”, IEEE Global Telecommunications Conference (GLOBECOM), Vol. 22, No. 1, pp. 2208–2212, December 2003.

  42. H. Nikookar and R. Prasad, “Waveshaping of Multicarrier Signal for data Transmission over Wireless Channels”, IEEE 6th International Conference on Universal Personal Communications Record (ICUPC), October 1997.

  43. H. Nikookar and R. Prasad, “Optimal Waveform Design for Multicarrier Transmission Through a Multipath Channel,” Proceedings of the IEEE Vehi. Tech. Conf. (VTC), May 1997.

  44. Y.J. Guo, Advances in Mobile Radio Access Networks, Artech House Publishers, 2004.

  45. Y. Zhang and S. Cheng, “A Novel Multicarrier Signal Transmission System Over Multipath Channel of Low-Voltage Power Line”, IEEE Transactions on Power Delivery, 2004.

  46. Z. Rafique, N. Gohar, and M.J. Mughal, “Performance Comparison of OFDM and WOFDM Based V-BLAST Wireless Systems”, IEICE Transactions on Communications, 2005.

  47. P.W. Wolniansky, G.J. Foschini, G.D. Golden, and R.A. Valenzuela, “V- BLAST: An Architecture for Realizing Very High Data Rates Over the Rich-Scattering Wireless Channel”, Proceeding of the ISSSE-98, Pisa, Italy, September 1998.

  48. IEEE Broadband Wireless Standard 802.16.3.

  49. K. Anwar, A.U. Priantoro, K. Ando, M. Saito, T. Hara, M. Okada, and H. Yamamoto, “PAPR Reduction of OFDM Signals Using Iterative Processing and Carrier Interferometry Codes”, IEEE Int. Symposium on Intelligent Signal Processing and Communications System (ISPACS 2004), pp. 48–51, Seoul, Korea, November 2004.

  50. W. Yang, G. Bi, and T.-S.P. Yum, “A Multirate Wireless Transmission System Using Wavelet Packet Modulation”, IEEE 47th Vehicular Technology Conf., Phoenix, AZ, USA, Vol. 1, pp. 368–372, 1997.

  51. C.V. Bouwel, J. Potemans, S. Schepers, B. Nauwelaers, and A.V. Capelle, “Wavelet Packet Based Multicarrier Modulation”, Proceedings of the IEEE Benelux Symposium on Communications and Vehicular Technology, Leuven, Belgium, October 2000.

  52. H. Zhang and D. Yuan, “Research of DFT-OFDM and DWT-OFDM on Different Transmission Scenarios”, Shangdong University White papers, October 2003.

  53. H. Zhang and D. Yuan, “Performance Research Between Turbo and LDPC Coded WOFDM on Rayleigh Fading Channels”, Shangdong University White papers, June 2004.

  54. H. Zhang, D. Yuan, F. Zhao, and D. Wu, “Performance Comparison of WOFDM with Different Coding Schemes”, Proceedings of Radio and Wireless Conference, RAWCON03, 2003.

  55. G.W. Wornell and A.V. Oppenheim, “Wavelet-Based Representations for a Class of Self-Similar Signals with Application to Fractal Modulation,” IEEE Trans. on Info. Theo., Vol. IT-38, pp. 785–800, March1992.

    Article  Google Scholar 

  56. G.W. Wornell, “Synthesis, Analysis, and Processing of Fractal Signals”, RLE Technical Report No. 566, Massachusetts Institute of Technology, Cambridge, Massachusetts, October 1991.

  57. C.J. Zarowski, “Spectral Characteristics and Computation of Wavelets for Fractal Modulation”, In Proceedings of the 1993 IEEE Pacific Rim Conf. on Commun., Computers and Signal Processing, Victoria, B.C., Canada, Vol. 2, pp. 370–373, May 1993.

  58. L. Atzori, D.D. Giusto, and M. Murroni, “Performance Analysis of Fractal Modulation Transmission Over Fast-Fading Wireless Channels”, IEEE Trans. on Broadcasting, Vol. 48, pp. 2813–2816, 2002.

    Article  Google Scholar 

  59. R. Effendi, T.L. Mengko, and T. Sugihartono, “Development of Wireless Communication System Using M-ary PSK-OWDM Technique by Fractal Wavelet Packet Transform”, International Wireless Summit, Aalborg, Sep 2005.

  60. C.M. Fu, W.L. Hwang, and C.L. Huang, “Clock Synchronization for Fractal Modulation”, IEEE ICASSP, pp. 2810–2812, 2002.

  61. A.R. Lindsey, “Wavelet Packet Modulation: A Generalized Method for Orthogonally Multiplexed Communications”, In Proceedings of the 27th IEEE Southeastern Symposium on System Theory, Starkville, Mississippi, March 1995.

  62. A.R. Lindsey, “Wavelet Packet Modulation for Orthogonally Multiplexed Communication”, IEEE Trans. on Signal Processing, Vol. 45, pp. 1336–1339, May 1997.

    Article  Google Scholar 

  63. K.M. Wong, J. Wu, T.N. Davidson, and P.C.Q. Jin Ching, “Performance of Wavelet Packet-Division Multiplexing in Impulsive and Guassian Noise”, IEEE Transactions on Communications, Vol. 48, No. 7, pp. 1083–1086, July 2000.

    Article  Google Scholar 

  64. F. Dovis, M. Mondin, and F. Daneshgaran, “Performance of Wavelet Waveforms Over Linear and Nonlinear Channels”, IEEE Wireless Communications and Networking Conference, Vol. 3, pp. 1148–1152, 1999.

  65. O. Kucur, “Wavelet-Based Multiple Access Communications”, Ph.D. Dissertation, Illinois Institute of Technology, Chicago, July 1998.

  66. R.E. Learned, H. Krim, B. Claus, A.S. Willsky, and W.C. Karl, “Wavelet Packet-Based Multiple Access Communication”, SPIE Proceedings, Wavelet Applications in Signal and Image Processing II, Vol. 2303, July 1994.

  67. A.B. Sesay, P.C. Yip, and K.M. Wong, “Waveform Division Multiple-Access”, IEEE Proceedings-I, Vol. 140, No. 3, June 1993.

  68. M. Sablatash, T. Cooklev, and J. Lodge, “Design and Implementation of Wavelet Packet-Based Filter Bank Trees for Multiple Access Communications”, in Proceedings of the IEEE International Conference on Commun. (ICC 97), Montreal, Quebec, Canada, Vol. 1, pp. 176–180, June 1997.

  69. J.M. Llorca, W.S. Lu, and V.K. Bhargava, “An Improved Wavelet-Packet-Division Multiple Access System”, Proceedings of the IEEE PACRIM'99, pp. 495–498, Aug. 1999.

  70. D.M. Ionescu and M.A. Wickert, “On the Performance of a CDMA System with User Signatures Based on Packet Wavelets in Multipath Channels”, In 1997 IEEE 48th Vehicular Technology Conf. Proc. (VTC 97), Vol. 1, pp. 392–396, Phoenix, Arizona, U.S.A., May 1997.

  71. R.E. Learned, A.S. Willsky, and D.M. Boroson, “Low Complexity Optimal Joint Detection for Oversaturated Multiple Access Communications”, IEEE Transactions on Acoustics, Speech, and Signal Processing, Vol. 45, pp. 113–123, January 1997.

    Google Scholar 

  72. H. Zhang and H. Fan, “Wavelet Packet Waveforms for Multicarrier CDMA Communication”, Proceedings of the International Conference on Acoust. Speech, Signal Proc., Orlando, FL, May 2002.

  73. K. Hetling, G. Saulnier, and P. Das, “PR-QMF Based Codes for Multipath/Multiuser Communications”, IEEE Global Telecommunications Conference, pp. 105–109, 1995.

  74. K. Hetling, M. Medley, G. Saulnier, and P. Das, “A PR-QMF (Wavelet) Based Spread Spectrum Communication System”, in Proceedings of the IEEE Military Commun. Conf. (MILCOM 94), Long Branch, N.J., pp. 760–764, October 1994.

  75. J.M. Llorca, W.S. Lu, and V.K. Bhargava, “Wavelet-Packet-Based Signatures for Asynchronous CDMA Systems”, Proceeding of the IEEE PACRIM'99, pp. 499–502, August 1999.

  76. C. Rodriquez, A.M. Bravo, and V.K. Bhargava, “Use of Wavelet Transforms for Delay Detection of a New User Entering a CDMA Communications Systems”, IEEE International Conference on Personal Wireless Communications, Mumbai, India, pp. 38–42, December 1997.

  77. O. Kucur and G.E. Atkin, “A Wavelet-Based Multirate Multimedia System”, IEEE ICASSP2000, Istanbul, June 2000.

  78. O. Kucur and G.E. Atkin, “Performance of Scale-Code Division Multiple Access (SCDMA) over the Asynchronous AWGN Channel”, Vehicular Technology Conference, IEEE 49th Vehicular Technology Conference, Vol. 3, pp. 2204–2208, July 1999.

  79. O. Kucur and G.E. Atkin, “Scale-Time-Code Division Multiple Access (STCDMA)”, Proceedings of 1996 Tactical Commn. Conference, pp. 449–457, April 1996.

  80. O. Kucur and G.E. Atkin, “A wavelet-Based Code Division Multiple Access System”, Proceedings of the 5th Symposium on Wavelets, Subband and Block Transforms in Communications, Newark, NJ, March1997.

  81. O. Kucur and G.E. Atkin, “Performance of Scale-Time Code Division Multiple Access (STCDMA) Over the Synchronous AWGN Channel”, International Journal of Communication Systems, John Wiley & Sons, Ltd., Vol. 13, No. 6, pp. 505–516, September 2000.

    Article  MATH  Google Scholar 

  82. L. Hanzo, M. Münster, B.J. Choi, and T. Keller, “OFDM and MC-CDMA for Broadband Multi-User Communications”, John Wiley & Sons Ltd., 2003.

  83. J.H. Choi and H.S. Kwak, “Wireless Multi-Carrier CDMA Using Wavelets”, Telecommunications Review, Vol. 6, No. 5, 1996.

  84. K. Chang, X. Lin, and M. Kyeong, “Performance Analysis of Wavelet Based MC-CDMA.” Proc. IEEE ISSSTA'96, September 1996.

  85. R. Wong, S. Cheng, and J. Wei, “Wavelet Packet Functions Based Coded MC-CDMA System and Its Performance”, in Proceeding of the 2000 IEEE 51st Vehicular Technology Conference, VTC2000-Spring, Tokyo, Japan, pp. 1933–1937, May 2000.

  86. M. Li, Q. Peng, and S. Zhong, “Wavelet Packets Multicarrier CDMA in Correlated Fading Channel”, Proceedings of the International Computer Congress, Vol. 1, pp. 433–438, 2004.

  87. X. Yu and G. Bi, “Performance of Turbo-Coded MC-CDMA System Based on Complex Wavelet Packet in Rayleigh Fading Channel”, International Conference on Communications, Circuits and Systems, Vol. 1, pp. 52–56, 2004.

  88. W. Wongtrairat and P. Supnithi, “Wavelet-Based MC-CDMA Communication Systems Under Scintillation Channels”, in Proceeding (464) Networks and Communication Systems, ACTA Press, 2005.

  89. F. Daneshgaran and M. Mondin, “Coherent Frequency-Hopped CDMA and Orthogonal Frequency Division Multiplexing with Wavelets”, Electronics Letters, Vol. 31, pp. 428–429, March 1995.

    Article  Google Scholar 

  90. A. Muayyadi and M.A. Abu-Rgheff, “A Wavelet-Based MC-CDMA Cellular Systems”, in Proceedings of the IEEE 6th International Symposium on Spread Spectrum Techniques & Applications (ISSSTA'00), New Jersey, USA, Vol. 1, pp. 145–149, September 2000.

  91. A. Muayyadi and M.A. Abu-Rgheff, “Wavelet-Based Multicarrier CDMA Systems and its Correspondent Multiuser Detection”, IEEE Proceedings on Communications, Vol. 150, No. 6, pp. 445–452, December 2003.

    Article  Google Scholar 

  92. A. Muayyadi and M.A. Abu-Rgheff, “Synchronisation of Wavelet-Based Multi-Carrier CDMA Systems”, Submitted for Journal Publication.

  93. A. Muayyadi and M.A. Abu-Rgheff, “Synchronisation using wavelets in MC-CDMA systems”, in Proceeding of the Postgraduate Research Conference in Electronics, Photonics, Communications and Software 2003 (PREP'03), Exeter, UK, April 2003.

  94. A.S. Madhukumar, F. Chin, and A.B. Premkumar, “Performance Enhancements of a Wavelet Based Multicarrier DS-CDMA System Through Multistage Interference Cancellation”, Conference Record of the Thirty-Fourth Asilomar Conference on Signals, Systems and Computers, Vol. 2, pp. 1421–1425, October 2000.

    Google Scholar 

  95. H. Zhang, H. Fan, and A. Lindsey, “Receiver Design for Wavelet-Based Multicarrier CDMA Communications”, IEEE Transactions on Vehicular Technology, Vol. 54, No. 2, pp. 615–628, March 2005.

    Article  Google Scholar 

  96. Y. Zhang and J. Dill, “Comparison of Equalization Techniques in a Wavelet Packets Based Multicarrier Modulation DS-CDMA System”, IEEE Global Telecommunications Conference (GLOBECOM), No. 1, pp. 2152–2156, December 1999.

  97. R. Wang and S. Cheng, “Performance of MC-CDMA Based on Wavelet Packets in Rayleigh Multipath Fading Channel”, IEEE Electronic Letters, Vo1. 36, pp. 1070–1072, 2000.

    Article  Google Scholar 

  98. J.I. Agbinya and H.D. Truong, “A Comparison of Ultra Wideband Signal Functions for Wireless Adhoc Networks”, IEEE Third International Conference on Information Technology and Applications (ICITA), Vol. 2, pp. 677–682, July 2005.

  99. J.I. Agbinya and H.D. Truong, “UWB Signal Bandwidth Expansion and Synthesis Using Prolate and Wavelet Functions”, Mobile Business, ICMB, pp. 686–689, July 2005.

  100. S. Ciolino, M. Ghavami, and H. Aghvami, “On the Use of Wavelet Packets in UWB Pulse Shape Modulation Systems”, IEICE Special Section on UWB, March 2005.

  101. J.F.M. Gerrits and J.R. Farsertou, “Wavelet Generation Circuit for UWB Impulse Radio Applications”, Electronics Letters, Vol. 38, No. 25, December 2002.

  102. K. Ohno and T. Ikegami, “Interference Mitigation Study for UWB Radio”, Proceedings of the 14th IEEE International Symposium on Personal, Indoor and Mobile Radio (PIMRC), pp. 583–587, October2003.

  103. A. Batra, J. Balakrishnan, G.R. Aiello, J.R. Foerster, and A. Dabak, “Design of a Multiband OFDM System for Realistic UWB Channel Environments”, IEEE Transactions on Microwave Theory and Techniques, Vol. 52, No. 9, pp. 2123–2139, September 2004.

    Article  Google Scholar 

  104. K. Ohno, T. Ikebe, and T. Ikegami, “A Proposal for an Interference Mitigation Technique Facilitating the Coexistence of Bi-Phase UWB and Other Wideband Systems”, CD-ROM Proc. Internal Workshop on Ultra Wideband Systems Joint with Conference on Ultra Wideband Systems and Technologies (Joint UWBST & IWUWBS 2004) WA2-5, 2004.

  105. S. Haykin, “Cognitive Radio: Brain-Empowered Wireless Communications”, IEEE JSAC, Vol. 23, No 2, pp. 201–20, February 2005.

    Google Scholar 

  106. V. Chakravarthy, A.S. Nunez, J.P. Stephens, A.K. Shaw, and M.A. Temple, “TDCS, OFDM, and MC-CDMA: A Brief Tutorial”, IEEE Communications Magazine, Vol. 43, No. 9, pp. S11–S16, September 2005.

    Article  Google Scholar 

  107. P.J. Swackhammer, M.A. Temple, and R.A. Raines, “Performance Simulation of a Transform Domain Communication System for Multiple Access Application”, Proceedings of the IEEE Military Communications Conference (MILCOM 1999), Atlantic City, NJ, Vol. 2, pp. 1055–1059, October 1999.

  108. M.J. Lee, M.A. Temple, R.L. Claypoole Jr., and R.A. Raines, “Transform Domain Communications and Interference Avoidance Using Wavelet Packet Decomposition”, IEEE Wireless Communications and Networking Conference, Orlando, FL, Vol. 1, pp. 255–259, Mar. 2002.

  109. M.J. Lee, M.A. Temple, R.L. Claypoole Jr., and R.A. Raines, “Wavelet Domain Communication System: Bit error sensitivity Characterization for Geographically Separated Transceivers”, Proc. MILCOM 2002, Anaheim, CA, Vol. 2, pp. 1378–82, Oct. 2002.

  110. R.W. Klein, M.A. Temple, R.A. Raines, and R.L. Claypoole Jr., “Interference Avoidance Communications Using Wavelet Domain Transformation Techniques”, IEEE Electronic Letters, Vol. 37, No. 15, pp. 987–989, July 2001.

    Article  Google Scholar 

  111. D.G. Lee and S. Dey, “Adaptive and Energy Efficient Wavelet Image Compression for Mobile Multimedia Data Services”, in Proceedings of the Conference on Communications, pp. 2484–2490, 2002.

  112. N. Xu, S. Rangwala, K. Chintalapudi, D. Ganesan, A. Broad, R. Govindan, and D. Estrin, “A Wireless Sensor Network for Structural Monitoring”, in Proceedings of the ACM Conference on Embedded Networked Sensor Sys., November 2004.

  113. Y. Luan, “Multiresolution Traffic Prediction: Combine RLS Algorithm with Wavelet Transform”, Lecture Notes in Computer Science, Vol. 3391, pp. 321–331, January 2005.

    Article  Google Scholar 

  114. G. Mao, “A Timescale Decomposition Approach to Network Traffic Prediction”, IEICE Transactions on Communications, 2005.

  115. X. Wang, S. Jung, and J. Meditch, “Dynamic Bandwidth Allocation for VBR Video Traffic Using Adaptive Wavelet Prediction”, in Proceedings of the IEEE International Conference on Communication, Vol. 1, pp. 549–553, 1998.

  116. H. Zhao, N. Ansari, and Y.Q. Shi, “A Fast Non-Linear Adaptive Algorithm for Video Traffic Prediction”, IEEE Intl. Conf. on Information Technology, Coding and Computing, April 2002.

  117. S. Yin and X. Lin, “Adaptive Load Balancing in Mobile Ad Hoc Networks”, IEEE Communications Society/WCNC, 2005.

  118. M. Crovella and E. Kolaczyk, “Graph Wavelets for Spatial Traffic Analysis”, in Proceedings of the IEEE Infocom 2003, San Francisco, California, April 2003.

  119. S.D. Rane, J. Remus, and G. Sapiro, “Wavelet-Domain Reconstruction of Lost Blocks in Wireless Image Transmission and Packet-Switched Networks”, Proceedings of International Conference on Image Processing, Vol. 1, pp. I-309–I-312, 2002.

  120. L.C. Ramac and P.K. Varshney, “A Wavelet Domain Diversity Method for Transmission of Images Over Wireless Channels”, in Proceeding of the IEEE Journal on Selected Areas in Communications, Vol. 18, No. 6, June 2000.

  121. S. Ma and C. Ji, “Modeling Heterogeneous Network Traffic in Wavelet Domain”, IEEE/ACM Trans. Netw. Vol. 9, No. 5, pp. 634–649, 2001

    Article  Google Scholar 

  122. B. Beferull-Lozano, J. Acimovic, and R. Cristescu, “Adaptive Distributed Algorithms for Power-Efficient Data-Gathering in Sensor Networks”, in Proceeding of the IEEE International Conference on Wireless Networks, Communications and Mobile Computing, Vol. 2, pp. 946–951, June 2005.

  123. A. Ciancio and A. Ortega, “A Distributed Wavelet Compression Algorithm for Wireless Sensor Networks Using Lifting”, in Proceedings of the 2004 International Conference on Acoustics, Speech and Signal Processing-ICASSP04, Montreal, Canada, May 2004.

  124. S.P. Chaudhuri, R. Kumar, R.G. Baraniuk, and D.B. Johnson, “Design of Adaptive Overlays for Multi-Scale Communication in Sensor Networks”, Lecture Notes in Computer Science, Vol. 3560, pp. 173–190,July 2005.

    Article  Google Scholar 

  125. A. Kulakov, D. Davcev, and G. Trajkovski, “Application of Wavelet Neural-Networks in Wireless Sensor Networks”, Sixth International Conference on Software Engineering, Artificial Intelligence, Networking and Parallel/Distributed Computing and First ACIS International Workshop on Self-Assembling Wireless Networks (SNPD/SAWN'05), pp. 262–267, 2005.

  126. A. Kulakov, D. Davcev, and G. Stojanov, “Learning Patterns in Wireless Sensor Networks Based on Wavelet Neural Networks”, Proceedings of the 11th International Conference on Parallel and Distributed SystemsWorkshops (ICPADS'05), pp. 373–377, 2005.

  127. R.S. Wong and V.K. Bhargava, “Denoising of low SNR Signals Using Composite Wavelet Shrinkage”, IEEE Pacific Rim Conference on Communications, Computers and Signal Processing (PACRIM), Vol. 1, pp. 302–305, August 1997.

    Google Scholar 

  128. L. Angrisani, “A Wavelet Packet Transform-Based Approach for Interference Measurement in Spread Spectrum Wireless Communication Systems”, IEEE Transactions on Instrumentation and Measurement, Vol. 54, No. 6, December 2005.

  129. M. Charina, K. Jetter, A. Kehrein, W. Kozek, G. Pfander, and G. Zimmermann, “ISI/ICI Comparison of DMT and Wavelet Based MCM Schemes for Time-Invariant Channels”, J. Speidel (ed.), Neue Kommunikationsanwendungen in Modernen Netzen ITG-Fachbericht, VDE-Verlag, Berlin, Vol. 171, pp. 109–115, 2002.

    Google Scholar 

  130. D. Lacroix, J.P. Javaudin, and N. Goudard, “IOTA, an Advanced OFDM Modulation for Future Broadband Physical Layers”, 7th Wireless World Research Forum (WWRF) Meeting, Eindhoven, Netherlands, December 2002.

  131. H. Zhang, K.Y. Yazdandoost, K. Li, and R. Kohno, “SSA-UWB and Cognitive Radio: A Suggestion for Global Harmonization and Compromise in IEEE 802.153a WPAN”, IEEE P802.15-04-0253-00-003a, IEEE 802.15.3a WPAN, May, 2004.

  132. F. Elbahhar, A.R. Menhaj, and J.M. Rouvaen, “Multi-User Ultra-Wide Band Communication System Based on Modified Gegenbauer and Hermite Functions”, Wireless Personal Communications, Springer, 2005.

  133. C. Tang and C.S. Raghavendra, “Wavelet Based Source Broadcast for In-Network Processing in Sensor Networks with Unknown Information”, Proceedings of IEEE GLOBECOM, 2005.

  134. I. Guvenc and Z. Sahinoglu, “Multiscale Energy Products for TOA Estimation in IR-UWB Systems”, Proceedings of the IEEE GLOBECOM, 2005.

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Correspondence to M. K. Lakshmanan.

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Madan Kumar Lakshmanan was born in Chennai, India, in 1979. He received the B.E. (with distinction) in electrical engineering from the University of Madras, Chennai, India, in 2000. He joined the Indian Software firm, Polaris Software Labs Ltd., in 2000 where he wrote software for Telecommunication applications. At Polaris, he was awarded the “On The Spot Of Excellence Award” for his efforts. In 2003, he moved to the Indian Institute of Technology-Madras, to develop and establish a wireless communications network for rural connectivity. In 2004, he was awarded the Royal Dutch/Shell Chevning scholarship to pursue a Master degree in Telecommunications at the Delft University of Technology (TUDelft). At TUDelft he is affiliated to the International Research Center for Telecommunications-Transmission and Radar (IRCTR) where he is undertaking research in the field of wavelets applications in Wireless Communications.

Homayoun Nikookar received his Ph.D. in Electrical Engineering from Delft University of Technology (TUDelft), The Netherlands, in 1995. From 1995 to 1998 he was a postdoc researcher at the International Research Center for Telecommunications-Transmission and Radar, TUDelft, where since 1999 he has been an Assistant Professor. Dr. Nikookar has done research on different areas of wireless communications, including wireless channel modeling, UWB, MIMO, multicarrier transmission, Wavelet-based OFDM and CDMA. He is a senior member of the IEEE.

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Lakshmanan, M.K., Nikookar, H. A Review of Wavelets for Digital Wireless Communication. Wireless Pers Commun 37, 387–420 (2006). https://doi.org/10.1007/s11277-006-9077-y

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