Warrier和 Madhow在2002年提出對於非同調通訊使用振幅/相位星座圖的廣義可能性機率測試(GLRT)法和趨近最佳化的低複雜度檢測演算法。他們也提出ㄧ種用於振幅/相位星座圖的能量限制方法。根據由GLRT檢測法所得到的最小非同調距離，吾人提出新的用於兩層振幅星座圖的能量控制方法來得到比原始的能量控制方式還要好的錯誤效能。吾人亦提出用於三層振幅的非同調編碼調變的方法更進ㄧ歩改善其錯誤效能

In 2002, Warrier and Madhow proposed generalized likelihood ratio test (GLRT) detection and near-optimal low complexity detection algorithm for noncoherent communication using amplitude/phase constellations. They also proposed an energy constraint method for amplitude/phase constellations. According to the minimum noncoherent distance for GLRT detection, we propose new energy control methods for two amplitude-level constellations to get better error performance than the original energy constraint method. We also propose three amplitude-level noncoherent coded modulation methods to further improve the error performance.

[1] D. Divsalar and M. K. Simon, “Multiple-symbol differential detection of MPSK,” IEEE Trans. Commun., vol. 38, pp. 300–308, Mar. 1990.
[2] T. Giallorenzi and S. Wilson, “Noncoherent demodulation techniques for trellis coded M-DPSK signals,” IEEE Trans. Commun., vol. 43, pp.2370–2380, Aug. 1995.
[3] D. Raphaeli, “Noncoherent coded modulation,” IEEE Trans. Commun., vol. 44, pp. 172–183, Feb. 1996.
[4] F. Adachi and M. Sawahashi, “Viterbi-decoding differential detection of DPSK,” Electron. Lett., vol. 28, no. 23, pp. 2196–2198, Nov. 1992.
[5] F. Adachi, “Reduced state transition Viterbi differential detection of M-ary DPSK signals,” Electron. Lett., vol. 32, no. 12, pp. 1064–1066, June 1996.
[6] D. Divsalar, M. K. Simon, and M. Shahshahani, “The performance of trellis-coded MDPSK with multiple symbol detection,” IEEE Trans. Commun., vol. 38, pp. 1391–1403, Sept. 1990.
[7] R. Van Nobelen and D. Taylor, “Multiple symbol differentially detected multilevel codes for the Rayleigh fading channel,” IEEE Trans Commun., vol. 45, pp. 1529–1537, Dec. 1997.
[8] M. Peleg and S. Shamai, “Iterative decoding of coded and interleaved
noncoherent multiple symbol detected DPSK,” Electron. Lett., vol.33, no. 12, pp. 1018–1020, June 1997.
[9] J. Ventura-Traveset, G. Caire, E. Biglieri, and G. Taricco, “Impact of
diversity reception on fading channels with coded modulation—part
II: Differential block detection,” IEEE Trans. Commun., vol. 45, pp.
676–686, June 1997.
[10] R.-R. Chen, D. Agrawal, and U. Madhow, “Noncoherent detection
of factor-graph codes over fading channels,” in Proc. 2000 Conf. Information Sciences and Systems (CISS 2000), Princeton, NJ, Mar. 2000.
[11] F. W. Sun and H. Leib, “Multiple-phase codes for detection without
carrier phase reference,” IEEE Trans. Inform. Theory, vol. 44, pp.
1477–1491, July 1998.
[12] Dilip Warrier and U. Madhow, “Spectrally Efficient Noncoherent Communication,” IEEE Trans. Inform. Theory, Vol. 48, pp.651-668, March 2002
[13] T. L. Marzetta and B. Hochwald, “Capacity of a mobile multiple-antenna communication link in Rayleigh flat fading,” IEEE Trans. Inform. Theory, vol. 45, pp. 139–157, Jan. 1999.
[14] J. G. Proakis, Digital Communications, 3rd ed. New York: McGraw-Hill, 1995.
[15] J. Anderson, T. Aulin, and C.-E. Sundberg, Digital Phase modulation, 1st ed. New York: Plenum, 1986.
[16] F. Adachi and M. Sawahashi, “Decision feedback differential detection of differentially encoded 16APSK signals,” IEEE Trans. Commun., vol. 44, pp. 416–418, Apr. 1996.
[17] R. Schober, W. Gerstacker, and J. Huber, “Decision-feedback differential detection scheme for 16-DAPSK,” Electron. Lett., vol. 34, no. 19, pp. 1812–1813, Sept. 1998.
[18] W.Webb, L. Hanzo, and R. Steele, “Bandwidth efficient QAM schemes for Rayleigh fading channels,” Proc. Inst. Elec. Eng., vol. 138, no. 3, pp. 169–175, June 1991.
[19] N. Svensson, “On differentially encoded star 16QAM with differential detection and diversity,” IEEE Trans. Veh. Technol., vol. 44, pp. 586–593, Aug. 1995.
[20] B. Hassibi, B. M. Hochwald, A. Shokrollahi, and W. Sweldens, “Multiple antennas and representation theory,” in Proc. 2000 Int. Symp. Information Theory (ISIT 2000), Sorrento, Italy, June 2000, p. 337.