頭部相關轉移函數(HRTF)是由實驗量測出來的通道函數，但是由於資料量過於龐大，使用起來有一定的困難度，所以我們將其刪減，並保留關鍵資訊方便使用。同時為了實現3D音效於雙音響的環境中，必須考量串音(crosstalk)現象，所以設計了串音消除系統來改善串音現象。在這系統中使用了不同的適應性演算法法來設計串音消除濾波器，並改良遞迴式最小平方適應性演算法(RLS)的小波分頻遞迴式最小平方適應性演算法來改善計算複雜度的問題。

Head-Related Transfer Function is the channel function which is measured by the experiment. However, the size of the data is so large that we apply them to synthesize 3-D audio arduously. We will reduce the HRTF and retain the important date to manipulate conveniently. In order to realize 3-D audio in the environment of two loudspeakers, it is a must consideration that the condition of crosstalk. On account of crosstalk, we need to design crosstalk canceller to improve the condition. We use the different adaptive algorithm to design this filter, and propose wavelet sub-band recursive least-square adaptive algorithm to improve the computational complexity of recursive least-square algorithm.

[1] J. L. Bauck, D. H. Cooper, “Generalized Transaural Stereo and Applications,” J. Audio Eng. Soc., vol. 44, no. 9, pp. 683-685, Sept. 1996
[2] D. R. Begault, “3-D Sound for Virtual Reality and Multimedia AP Professional,” 1994
[3] B. Gardner, K. Martin, “HRTF measurements of a KEMAR dummy-head microphone,” Technical Report 280, MIT Media Lab Perceptual computing, May, 1994
[4] B. Gardner, K. Martin, “HRTF measurements of a KEMAR,” Journal of the Acoustical Society in America, vol.97, 1995
[5] W. G. Gardner, “3-D Audio Using Loudspeakers,” Kluwer Academic Publishers, 1998
[6] S. Haykin, “Adaptive Filter Theory,” Fourth Edition, Prentice Hall Inc., 2002
[7] Y. D. Jou, “Design of real FIR filters with arbitrary magnitude and phase specifications using a neural-based approach,” IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 53, no. 10, pp. 1068–1072, Oct. 2006
[8] Y. D. Jou, F. K. Chen, “On the Use of Lyapunov Functions for the Design of Complex FIR Digital Filters,” Circuits and Systems, 2006. APCCAS 2006. IEEE Asia Pacific Conference on 4-7, Page(s):740 – 743, Dec. 2006
[9] A. Kulkarni, S. K. Isabelle, H. S. Colburn, “Sensitivity of human subjects to head-related transfer-function phase spectra,” The Journal of the Acoustical Society of America, Volume 105, Issue 5, pp.2821-2840, May 1999
[10] S. T. Neely, J. B. Allen, “Invertibility of a room impulse response,“ The Journal of the Acoustical Society of America, Volume 66, Issue 1, pp.165-169, July 1979
[11] A. Mouchtaris, P. Reveliotis, C. Kyriakakis, “Inverse filter design for immersive audio rendering over loudspeakers,” Multimedia, IEEE Transactions on Volume 2, Issue 2, Page(s):77 – 87, June 2000
[12] A. V. Oppenheim, R. W. Schafer, J. R. Buck, “Discrete-Time Signal Processing,” Second Edition, Prentice Hall Inc., 1999
[13] H. I. K. Rao, V. J. Mathews, Y. C. Park, “A Minimax Approach for the Joint Design of Acoustic Crosstalk Cancellation Filters,” IEEE Trans. Audio, Speech, and Language Processing, Volume 15, Issue 8, Page(s):2287 – 2298, , Nov. 2007
[14] R. Susnik, J. Sodnik, A. Umek, S. Tomazic, “Spatial sound generation using HRTF created by the use of recursive filters,” EUROCON 2003. Computer as a Tool. The IEEE Region 8, Publication Date: 22-24 Sept. 2003 Volume: 1, page(s): 449- 453
[15] D. B. Ward, “Joint Least Squares Optimization for Robust Acoustic Crosstalk Cancellation,” IEEE Trans. Speech and Audio Processing, Volume 8, Issue 2, page(s): 211-215, Mar 2000
[16] E. M. Wenzel, “Localization in virtual acoustic displays,” Presence: Teleoperators and Virtual Environments, 1, 80-107, 1992