Jack Xin

Recent Papers and Demos:

• A Dynamic Algorithm for Blind Separation of Convolutive Sound Mixtures (with J. Liu, Y-Y Qi), to appear in Neurocomputing (2008), doi:10.1016/j.neucom.2007.12.010.
  
  
• A Many to One Discrete Auditory Transform (with Y-Y Qi), to appear in Proceedings of ICCM 2007, Hangzhou, China.
  
  
• Ear Modeling and Sound Signal Processing, Proceedings of ICCM 2004, Hong Kong; New Studies in Advanced Mathematics, ed. S-T Yau, Vol. 42, pp 819 -- 830, AMS and International Press, 2008.
  
  
• A Study of Hearing Aid Gain Functions Based on a Nonlinear Nonlocal Feedforward Cochlea Model (with Y.S. Kim, Y-Y Qi), Hearing Research, Volume 215, Issues 1-2, May 2006, pp 84-96.
  
  
• Signal Processing of Acoustic Signals in the Time Domain with an Active Nonlinear Nonlocal Cochlear Model (with M. D. LaMar, Y-Y Qi), Signal Processing, 86(2006), pp 360-374.
  
  
• An Orthogonal Discrete Auditory Transform (with Y-Y Qi), Communications in Math Sciences, Vol. 3, No. 2, pp 251-259, 2005.
  
  
• A two-dimensional nonlinear nonlocal feed-forward cochlear model and time domain computation of multitone interactions (with Y.S. Kim), SIAM J. Multiscale Modeling and Simulation, Vol. 4, No. 2, pp 664-690, 2005.
  
  
• An Invertible Discrete Auditory Transform (with Y-Y Qi), Communications in Math Sciences, Vol. 3, No. 1, pp 47-56, 2005.
  
  
• Dispersive instability and its minimization in time domain computation of steady state responses of cochlear models, Journal of the Acoustical Society of America, 115 (5), Pt. 1, 2173-2177, 2004.
  
  
• Global well-posedness and multi-tone solutions of a class of nonlinear nonlocal cochlear models in hearing (with Y-Y Qi), Nonlinearity, Vol. 17 (2004), No. 2, pp 711-728.
  
  
• A PDE based two level model of the masking property of the human ear (with Y-Y Qi), Communications in Math Sciences, 2003, Vol. 1, No. 4, pp. 833-840.
  
  
• Time Domain Computation of a Nonlinear Nonlocal Cochlear Model with Applications to Multitone Interaction in Hearing (with Y-Y Qi, L. Deng), Communications in Math Sciences, Vol. 1, No. 2, pp. 211-227, 2003.
  
  
• Modeling Vocal Fold Motion with a Hydrodynamic Semi-Continuum Model (with M.D. LaMar, Y-Y Qi), Journal of the Acoustical Society of America, Vol. 114, No. 1, pp 455-464, 2003.
  
  
• A Perception and PDE Based Nonlinear Transformation for Processing Spoken Words, (with Y-Y. Qi), Physica D 149 (2001),143-160.
  
  
  
  
• Test Sounds:
  
  Input Song.
  
  Reconstructed Song by Inverting a Many to One Discrete Auditory Transform.
  
  
  
  
  
  
• Modeling Vocal Fold Motion with a Continuum Fluid Dynamic Model (with J. M. Hyman, and Y-Y Qi), http://arXiv.org/abs/nlin.PS/0108039. Click here for demo.