Abstract
The main objective of this paper is to broaden the lock range of the first order Time Delay Digital Tanlock Loop (TDTL) by extending the loop stable behaviour using a feedback stabilization to control the chaotic region of TDTL. The non-linear behaviour of TDTL shows a period doubling to its route to chaos. The loop has two or more fixed points depending on the values of the gain of loop filter and the input frequency offset from the locking value. The tendency of a TDTL to diverge is measured and fed-back as a form of linear stabilization. The lock range extension is confirmed through the use bifurcation diagrams and maximum Lyapunov exponents.
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References
W. Lindsay and C.M Chie, “A Survey of Digital Phase Locked Loops”, IEEE Proceeding, Vol. 69, pp. 410–431, April. 1981.
G. Hsieh and C. Hung, “Phase Locked Loops- A Survey”, IEEE Transaction on Industrial Electronics, Vol. 43, pp. 609–615, Dec. 1996.
Q. Nasir, S.R. AI-Araji, “Phase Locked Loop Using Multi-Sampling Technique”, IEEE Int Conference on Electronics, Circuits and Systems ICECS2003, Sharjah, UAE, pp.719–722, Dec. 2003.
J.C. Lee and C.K. Un, “Performance Analysis of Digital Tanlock Loop”, IEEE Transaction on Communications, Vol. 30, No. 10, pp. 2398–2411, October 1982.
Z.M. Hussain, B. Boashash, M. Hassan-Ali, and S.R. Al-Araji, “A Time-Delay Digital Tanlock Loop”, IEEE Signal Processsing, Vol. 49, pp. 1808–1815, April 2001.
A.L. Fradkov and R.E. Evans, Control of Chaos: Survey 1997–2000, Proc. of 15th IFAC World Congress, Barcelona, 2002.
K. Pyragas, Contineous Control of Chaos by Self-Controlling Feedback, Physical Letters A., Vol. 170, pp. 412–428, 1992.
J.C. Sprott, Chaos and Time-Series Analysis, Oxford University Press, 2003.
H.J. Kim, C.K. Un, and J.C. Lee, “The N-Phase Digital Tanlock Loop for Tracking Supressed-Carrier N-ary PSK Signals”, Ability Analysis of an N-th Power Digital IEEE Transaction on Communications, Vol. 33, No. 9, pp. 904–910, September 1985.
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Qassim Nasir received the B.Sc., M.Sc., and Ph.D. degrees from the University of Baghdad, Iraq, in 1977, 1984, and 1994 respectively. Prior to joining the University of Sharjah, UAE in 2001 and for six years, Dr. Nasir was working with Nortel Networks, Canada, as a senior system designer in the network management group for OC-192 SONET. He later moved to work with the DSL group, at the same company, as a senior firmware system designer, for GLite Nortel Modems. He was adjunct part time assistant professor at Ottawa University, for the period 1999 to 2000, teaching telecommunication software engineering. Dr. Nasir was visiting professor at Helsinki University of Technology, Finland, during the summers of 2002, 2003, 2004, and 2005. He also worked as an assistant professor at Amman University during the academic year 1994/1995. Dr. Nasir’s research interests are digital communications, chaos in communications, and power aware MANETs.
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Nasir, Q. Time Delay Digital Tanlock Loop with Broad Lock Range Using Chaos Control Technique. Wireless Pers Commun 41, 135–144 (2007). https://doi.org/10.1007/s11277-006-9133-7
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DOI: https://doi.org/10.1007/s11277-006-9133-7