Maximum Likelihood Block Detection of Noncoherent Multi-h CPFSK 陳俊達、楊新雄
E-mail: 9115163@mail.dyu.edu.tw
ABSTRACT
In this thesis, we examine maximum likelihood block detection (MLBD) of noncoherent continuous phase frequency shift keying signals with periodic modulation indexes (Multi-h CPFSK) in AWGN and flat Rayleigh fading channels. First, the maximum likelihood metric is introduced, and the bit error probability of the detection algorithm in an AWGN channel is derived. The noncoherent detector is shown to consist of a bank of matched filters followed by a sequence estimator. In the AWGN channel, the simulation results are consistent with theoretical results, and demodulation using MLBD with a four-symbol observation is compared with MLSD and one-bit differential detection (DD). MLBD has about 3 dB improvements over 1-bit DD, and have no more than 3-4 dB loss than MLSD. The performance of MLBD in a flat Rayleigh fading channel are obtained by computer simulation. When in slowly fading case, it is interesting to note that the performance of a three-symbol observation has 1 dB improvement over a two-symbol observation. However, when fading becomes fast, both the two- and three-symbol observations form an error floor, and the performance of the three-symbol observation is worse than the two-symbol observation at a high SNR. In the flat Rayleigh fading channel, the SNR about 30 dB is required by MLBD to yield a bit error rate of 0.001. Hence, we can conclude that the modulation scheme using the multi-h signal can be a practical one in the fading channel when MLBD is applied.
Keywords : maximum likelihood block detection ; multi-h CPFSK ; bit error rate ; flat Rayleigh fading channel Table of Contents
Table of Contents 封面內頁 簽名頁 授權書...iii 摘要...iv ABSTRACT...v 誌謝...vi Table of
Contents...vii List of Figures...ix List of Tables...xii Chapter 1. Introduction...1 1.1 Research Motive...1 1.2 Outline of the
Thesis...4 Chapter 2. Multi-h CPFSK Signal...6 2.1 CPFSK Signal...6 2.2 Multi-h Signal...7 Chapter 3. MLBD Metric of Noncoherent Multi-h CPFSK Signal in an AWGN Channel...12 3.1 Basic Structure...12 3.2 Special Case — Binary
CPFSK...18 Chapter 4. BER for MLBD of Noncoherent Multi-h CPFSK Signal in an AWGN
Channel...20 4.1 Analytical Results...20 4.2 Special Case —M=2 , N=2 ,
H=2...23 Chapter 5. Simulation Results for MLBD in a Flat Rayleigh Fading Channel...26 5.1 Results with an AWGN Channel...26 5.2 Results with a Rayleigh Fading Channel...36 Chapter 6.
Conclusions and Future Work...42 6.1 Conclusions and Discussions...42 6.2 Future
Work...43 References...50 Appendix A. Evaluation of The Pairwise Error Probability....55 Appendix B. A Rayleigh Fading Channel...58 Appendix C. DS-CDMA System...64 REFERENCES
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