LECTURE 18: DIFFERENTIATION OF FEATURES

• Objectives:
  
  
  • Introduce the concept of a derivative
    
    
  • Appreciate the computational issues
    
    
  • Derivatives based on finite differences
    
    
  • Derivatives based on linear regression

Three important references for this material are:

• F.K. Soong and A.E. Rosenberg, "On the Use of Instantaneous and Transitional Spectral Information in Speaker Recognition," Proceedings of the International Conference on Acoustics, Speech, and Signal Processing, Tokyo, Japan, pp. 877-880, April 1986.
  
  
• J.G. Proakis and D.G. Manolakis, Digital Signal Processing (Third Edition), Prentice-Hall, Upper Saddle River, New Jersey, USA, 1996.
  
  
• A.J. Hayter, Probability and Statistics For Engineers and Scientists, International Thomson Publishing, Cincinnati, Ohio, USA, 1996.

The course textbook contains references to the seminal papers in this area as well.