本論文針對一個簡單的分集計畫 [1]，探討其經過慢速跳頻後在部分頻帶雜訊干擾與相關性瑞雷衰落通道環境下的效能。在傳送端，包含非線性區塊的編碼器，差分相移鍵的調變器，交錯混和器與慢速跳頻器。這裡考慮三種通道訊息狀態(NCSI、PCSI、CSI)，並在接收端採用三種解碼器 (視通道訊息而定)，逐字接收分集信號。分析與模擬此分集計畫在個別狀態下對部分頻帶雜訊干擾之抵抗效能，並對所有狀態之接收效能進行綜合比較。分集系統在CSI狀態下使用最大可能性分集解碼器對部分頻帶雜訊干擾具最大抵抗力。最後，利用聯合邊界作為碼價值計算的辦法，使用碼搜尋程序搜尋好的分集碼。

This thesis proposes a simple diversity scheme [1] through slow frequency hopping which operates on the correlated Rayleigh fading channels with partial-band noise jamming. The transmitter consists of a nonlinear block encoder, a symbol interleaver, a differential phase modulator, and a slow frequency hopper. Three kinds of channel side information (NCSI, PCSI, CSI) are considered in this thesis. Three different systems with or without using channel side information are developed to detect the received diversity signal codeword by codeword. Union bound and simulation are derived to assess the codeword error probability characteristics of the systems. It is concluded that the system using maximum likelihood diversity decoder and CSI offers the best resistance against partial-band jamming noise. According to the union bound as the code merit figure, useful short diversity codes are searched based on the code search procedure.

[1] Char-Dir Chung and Fuh-Hsin Hwang, “Diversity coding technique for
differential phase modulation in a correlated Rayleigh fading channel,”
IEEE Trans. Commun., vol. 49, pp. 1154-1157, July 2001
[2] William C. Y. Lee, Mobile Communications Design Fundamentals, 2rd ed. JOHN
WILEY&SONS, 1993
[3] P. Ho and D. K. P. Fung, “Error performance of interleaved trellis coded
PSK modulations in correlated Rayleigh fading channels,” IEEE Trans.
Commun., vol. 40, pp. 1800-1809, Dec. 1992.
[4] Bernard Sklar, Digital Communications, Chap. 10, Prentice-Hall, 1988
[5] Simon, M. K., Omura, J. K., Scholtz, R. A., and Levitt, B. K., Spread
Spectrum Communications, Vol. 1, Computer Science Press, Inc., Rockville,
Md., 1985
[6] H.J. Larson and B.O. Shubert, Probabilistic Models in Engineering
Sciences, vol. I. New York: Wiley,1979
[7] M.K. Simon and D. Divsalar, “Some new twists to problems involving the
Gaussian probability integral,” IEEE Trans. Commun., vol. COM-46, pp. 200-
210, Feb. 1998.
[8] J.G. Proakis, Digital Communications, 3rd ed. New York: McGraw-Hill, 1995.
[9] J. Gilbert and L. Gilbert, Linear Algebra and Matrix Theory. San Diego:
Academic Press, 1985.
[10] Yu T. Su, “Antijam capability analysis of RS-coded slow frequency-hopped
systems,” IEEE Trans. Commun., vol. 48, pp. 270-281, Feb. 2000
[11] Q. Chen, Q. Wang, V.K. Bhargava and L.J. Mason, “Error performance of
coded SFH/DPSK in tone interference and AWGN,” IEE Proceedings-1, vol.
140, pp. 262-268, Aug. 1993
[12] Lloyd J. Mason, “Error probability for FH/MDPSK in multitone jamming,
fast Rician fading, and Gaussian noise,” IEEE Trans. Commun., vol. 43,
pp. 545-553, April 1995
[13] M.K. Simon, “The performance of M-ary FH-DPSK in the presence of partial-
band multitone jamming,” IEEE Trans. Commun., vol. COM-30, pp. 953-958,
May 1982
[14] Q. Wang, A. Gulliver, and V. K. Bhargava, “Probability distribution of
DPSK in tone interference and applications to SFH/DPSK,” IEEE Trans.
Commun., vol. 8, pp. 895-906, June 1990
[15] V. P. Kaasila and A. Mammela, “Bit-error probability for and adaptive
diversity receiver in a Rayleigh-fading channel,” IEEE Trans. Commun.,
vol. COM-46, pp. 1106-1108, Sept. 1998
[16] M. Chiani, et al., “Frequency and interference diversity in slow
frequency hopping multiple access systems,” in Proc. 7th IEEE PIMRC,
Taipei, Taiwan, Oct. 1996, pp. 648-652
[17] L.F. Wei, “Coded M-DPSK with built-in time diversity for fading
channels,” IEEE Trans. Inform. Theory, vol. IT-39, pp. 1820-1839, Nov.
1993