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Volume 31 Issue 10
Dec.  2010
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He Xian-deng, Pei Chang-xing, Meng Yun-liang. A Baseband GMSK Signal Correlator and Its Output Probability Distribution[J]. Journal of Electronics & Information Technology, 2009, 31(10): 2532-2535. doi: 10.3724/SP.J.1146.2008.01767
Citation: He Xian-deng, Pei Chang-xing, Meng Yun-liang. A Baseband GMSK Signal Correlator and Its Output Probability Distribution[J]. Journal of Electronics & Information Technology, 2009, 31(10): 2532-2535. doi: 10.3724/SP.J.1146.2008.01767

A Baseband GMSK Signal Correlator and Its Output Probability Distribution

doi: 10.3724/SP.J.1146.2008.01767
  • Received Date: 2008-12-22
  • Rev Recd Date: 2009-07-13
  • Publish Date: 2009-10-19
  • A type of baseband GMSK signal correlator is presented in this paper. From the phase probability density function of demodulated GMSK signal and the probability distribution function of the sums of independent identical distribution random variables, the auto-correlation and cross-correlation functions of the correlator are proposed. A uniform auto-correlation and cross-correlation probability distribution functions of digital correlator(digital matched filter) is derived from the probability and statistics theory. Numerical results demonstrate that the error probability of the baseband GMSK signal correlator is about one order of magnitude lower than that of digital one under the same condition.
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  • He Xian-deng, Pei Chang-xing, and Zhu Chang-hua, et al..BER analysis of a GMSK system using decision feedback [C].21st International Conference on Advanced InformationNetworking and Applications Workshops (AINAW'07),Niagara Falls, Ontario,Canada, May 21-23, 2007, Vol.1:113-118.[2]Padan U. Adaptive digital matched filters [J]. IEEETransactions on Information Theory, 1982, IT-28(6):890-904.[3]Tan Xiao-heng. Performance of acquisition in a digitalmatched-filter for DSSS [C]. 2005 IEEE InternationalSymposium on Microwave, Antenna, Propagation and EMCTechnologies for Wireless Communications Proceedings,Beijing, China, Aug. 8-12, 2005: 927-931.[4]Rahaman M S and Dodds D E. Throughput and PNcodephase acquisition for packet CDMA without preamble[C]. Canadian Conference on Electrical and ComputerEngineering, 2008(CCECE 2008), Niagara Falls, Ontario,Canada, May 4-7, 2008: 1179-1182.[5]陈勇, 赵杭生. 大频差长地址码扩频系统快速捕获方案的设计与实现[J].电子与信息学报.2007, 29(9):2187-2190浏览[6]Yongacoglu A, Makrakis D, and Feher K. Differentialdetection of GMSK using decision feedback[J].IEEETransactions on Communications.1988, 36(6):641-649[7]Huang Po-chiun, Chen Yi-huei, and Wang Chorng-kuang.2-V CMOS 455-kHz FM/FSK demodulator usingfeedforward offset cancellation limiting amplifier [J].IEEEJournal of Solid-State Circuits.2001, 36(1):135-138[8]Devore and Jay L. Probability and Statistics for Engineeringand the Sciences[M]. Sixth edition, Beijing: China MachinePress, 2004, Chapter 5.[9]Simon Haykin, Michael Moher 著. 郑宝玉等译. 现代无线通信[M]. 北京: 电子工业出版社, 2005, 第五章附录D.
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