7.1 研究成果
最後整個平台就是全數位式主動式噪音消除系統(圖 7.1.1)。結合播放聲音的 數位式 Sigma-Delta Modulator class-D 音頻放大器以及數位麥克風和數位控制 器，全部以 verilog 實現系統撰寫在 FPGA 內且經過驗證，若將整個系統體積最 佳化，將可以用IC 模式應用在頭戴式耳機的主動式噪音消除。
7.1.1 全數位式主動式噪音消除系統 圖
全數位化使的體積小，但缺點是因為水床效應在壓抑頻帶以外會使噪音長的 較原先的高，若可以將其頻帶調整在人耳聽不到的範圍，將會使全數位式的主動 式噪音消除系統更完美。如果要配合此需求勢必對於耳機的響應也要有一定的要 求，故一個有好的頻率響應的耳機也是不可或缺的。
7.2 未來展望
在主動式噪音消除的數位濾波器設計上，耳機的頻率響應影響整個設計頻帶 的取向，所以響應太糟的耳機反而會使此設計法無法完全發揮。如果有響應更理 想的耳機此方法的效果將會更加突出。至於數位控制器的設計階數和架構也有很 大的進步空間，可以根據之前在第四章提到的架構選擇做嘗試，相信也可以將數 位控制器的效果大大的提升。
參考文獻
[1] Lueg, P., “Process of Silencing Sound Oscillations,”U.S. Patent, No. 2,043,416,1936 [2] B. Widrow and S. D. Stearns, 1985, Adaptive Signal Processing, Englewood Cliffs, NJ:
Prentice Hall.
[3] D. R. Morgan, 1980, “An Analysis of Multiple Correlation Cancellation Loops with a Filter in the Auxiliary Path,” IEEE Transactions on Acoustics, Speech and Signal Processing, ASSP-28, pp. 454-467.
[4] H.F. Olson, E.G May, “Electronic sound absorber,” Journal of the Acoustical Society of America,28, pp.1130-1136,1953.
[5] H.F. Olson, Acoustic Engineering, Van Nostrand Company INC ,1957.
[6] Kido K. ,1975, “Reduction of Noise by Use of Additional Sound,” Proceedings of Intern -Noise ’75, Sendai, pp.649-650.
[7] B. Widrow, J. R. Glover, J. M. McCool, J. Kaunitz, C. S. Williams, R. H. Hern, J. R.
Zeidler, E. Dong and R. C. Goodlin, 1975, “Adaptive Noise Canceling: Principles and Applications,” Proceedings of the IEEE, Vol. 63, No. 12, pp. 1692-1716.
[8] B. Widrow, D. Shur and S. Shaffer, 1981, “On Adaptive Inverse Control,” Proc. 15th Asilomar Conf., pp. 185-189.
[9] D. S. Berstein and W. M. Haddad, “LQG control with an H∞ performance bound: A Riccati equation approach,” IEEE Trans. Automat. Contr., vol. 34, no. 3, pp. 293--305, Mar. 1989.
[10] P. P. Khargonekar and M. A. Rotea, “Mixed H2/H∞ Control Problem: A Convex Optimization Approach, ” IEEE Trans. Automat. Contr., vol. 36, pp.824-837, 1991.
[11] C. W. Scherer, “Mutiobjective H2/H∞ Control,” IEEE Trans. Automat. Contr., vol. 40, pp.1050-1062, 1995.
[12] Y. Theodor and U. Shaked, “O ed H2/H∞ control-A dynamic game approach, ” Int. J. Contr., vol. 64, no. 2, pp.263-279, 1996.
995, [14] M. Bai and D. Lee, “ Implementation of an active headset by using the robust control [15
on Circuits and Systems-I, 2004.
its and Systems, May 2004.
立交通大學，碩 utput-feedback mix
[13] C. W. Scherer, “Mixed H2/H∞ Control, ” in Proc. European Contr. Conf. (ECC95), 1 pp. 173-216.
theory, ” J. Acoust. Soc. Amer., vol. 102, pp.2184-2190, 1997.
] S. H. Yu and J. S. Hu, “Optimization and Control Aspects of Single-Bit Noise-Shaping Quantization”, IEEE Transactions
[16] S. H. Yu, and J. S. Hu, “Sigma-Delta modulators operated in optimization mode,” IEEE International Symposium on Circu
[17] 葉順智，「具備 USB 介面之雙聲道全數位式音頻放大器設計」，國 士論文，民國93 年。
[18] 陳鏗元，「採用 Σ－Δ 調變之全橋功率放大器」，國立交通大學，碩士論文，民國 94 [19
sue: 4, Dec. 2001 page(s):483-490.
ts., vol. 7, pp.442-466, 1952.
inorms and Approximate Inverse, ” IEEE Transections on Automatic [26
[21] Shiang-Hwua Yu; Jwu-Sheng Hu, “Controller Design for Active Noise Cancellation Headphones Using Experimental Raw Data”, IEEE/ASME Transactions on Mechatronics , Volume: 6 Is
[22] 吳俊德，「基於 DSP 之主動是噪音消除耳機控制器設計與實現」，國立交通大學，
碩士論文，民國93 年。
[23] F. de Jager, “Delta modulation – a method of PCM transmission using the one unit code,”Philips Res. Rep
[24] H. Inose and Y. Yasuda, “A unity bit coding method by negative feedback,” Proceeding of the IEEE, pp. 1524-1535, November 1963.
[25] H. Zames, “Feedback and Optimal Sensitivity : Model Reference Transformation, Multi -plicative Sem
Control, Vol AC-26, No.2,pp.301-320,1981
] 林俊良, 強健控制系統：分析與設計, 國立編譯館, 台北, 1997.
l. 34 (8), 832-847
[28 te-time H∞ control,” Int. J.
[29] I. Yaesh and U. Shaked, “Transfer function approach to the problem on discrete-time (1991).
3.
P ork, 1992.
[27] J. C. Doyle, K. Glover, P. Khargonekar, and B. A. Francis “State space solution to standard H2 and H∞ control problems,” IEEE Trans. Autom. Contro
(1989).
] P. A. Iglesias and K. Glover, “State-space approach to discre Control 54, 1031-1073 (1991).
system: H∞-optimal linear control and filtering,” IEEE Trans. Autom. Control. 36, 1264 -1271
[30] S. J. Elliott, P. A. Nelson, “Active noise control,” IEEE Signal Processing Magazine, pp.12-35, October 199
[31] J. C Doyle, B. A. Francis, A. R. Tannenbaum, Feedback Control Theory, Macmillan ublishing Company, New Y
[32] V. R. Sule, V. V. Athani, “Directional Sensitivity Tradeoffs in Multivariable Feedback System”, Automatica, Vol 27, No 5, pp.869-872, 1991.
] J. Freudenberg, D. P. Looze, “Right Half Plane
[33 Poles and Zeros and Design tradeoffs in
[34 rno, and H. A. Jabr, “Modren Wiener-Hopf design of optimal Feedback System”, IEEE Trans. Autom. Control. AC-30, No 6, June, 1985.
] D. C. Youla, J. J. Bongio
controllers. PartI: The single-input-output case,” IEEE Trans. Autom. Control., Vol.
AC-21, pp. 3-13, 1976.
1989.
[36] P. J. Titterton and J. A. Olkin, “A practical method for constrained - optimization controller design: H2 or H∞ optimization with multiple H2 and/or H∞ constraints,” in Proc.
29th IEEE Asilomar Conf. Signals, Syst., Comput., Oct. 1995, pp. 1265-1269.
tive control,” ISVR, [38
[40 H2/H∞ active control of sound in a headrest: Design and [41
[42 Balakrishnan, C. H. Barrat, N. M. Khraishi, X. Li, D. G. Meyer, and S. A.
. 33, pp. 268-283, 1988.
tom. Contr., vol. 34, pp. 427-434, 1989.
[45 R. Buck, Discrete Time Signal
[46 r engineering
[47
l. 98, no. 2, pp. 1017-1024, 1995.
e]. Available: http://www.sonix.com.tw/sonix/product.do?p=SN11116 [37] B. Rafaely and S. J. Elliott, “H2/H∞ output feedback design for ac
Univ. Southampton, U.K., Tech Memo 800, July 1996.
] P. E. Gill, W. Murray, and M. H. Wright, Practical Optimization. New York: Academic, 1981.
[39] A. Grace, Matlab Optimization Toolbox, The MathWorks, Inc., 1995.
] B. Rafaely and S. J. Elliott, “
implementation,” IEEE Trans. Autom. Contr. Syst. Technol., vol. 7, pp. 79-84, Jan. 1999.
] P. A. Nelson and S. J. Elliott, Active Control of Sound. London, U.K.: Academic,1992.
] P. B. Boyd, V.
Norman, “A new CAD method and associated architectures for linear controllers,” IEEE Trans. Autom. Contr., vol
[43] J. W. Helton and A. Sideris “Frequency response algorithms for H∞ optimization with time domain constrains,” IEEE Trans. Au
[44] Hannu T. Toivonen, Robust Control Method. Process Control Laboratory, 1998.
] Alan V. Oppenheim, Ronald W. Schafer and John
Processing. 2nd Edition, Prentice-Hall: Signal Processing Series, 1999.
] S. Boyd, L. Vandenberghe, and M. Grant, “Efficient convex optimization fo
design,” in Proc. IFAC Symp. Robust Contr. Design, Rio de Janerio, Brazil, Sept. 1994.
] J. Garcia-Bonito and S. J. Elliott, “Local active control of diffracted diffuse sound field,”
J. Acoust. Soc. Amer., vo
[48] “SN11116 USB Six Channel Audio Controller,” Sonix Technology, 2004 [Onlin
[49] “I2S Bus Specification,” Philips Semiconductors.
]胡竹生, 陳榮偉,
[50 定點數位訊號處理器應用程式設計與實驗, 全華科技, 1998.
] Specification for Digital Electret Condenser Microphone, 音賜股份有
[51 限公司.
[53
[52] 黃克強，「淺談 Delta-Sigma 之工作原理」。
] DMATEK “DMA-USB FX”
[Online] Available:http://www.dmatek.com.tw
[54] 2.2 UG_EK2C20F484, 茂綸股份有限公司, 2007.
[55] 林傳生, 使用VHDL電路設計語言之數位電路設計, 儒林圖書有限公司,新竹, 1998.
[56] CIC訓練課程, Verilog Training Manual, July-2007.