Computational Considerations in Analysis

  • John D. Markel
  • Augustine H. GrayJr.
Part of the Communication and Cybernetics book series (COMMUNICATION, volume 12)

Abstract

The implementation of linear prediction techniques for all but trivial examples requires digital computation. In nearly all of the material presented thus far, an implicit assumption was made that the computation occurred without error. For example, the norm squares α m and β m of Chapter 3 are theoretically non-negative, yet when they are evaluated using the computer programs presented they may yield negative results due to computer errors. Numerical results are a function of the algorithms used, the form of computer arithmetic (e.g., floating or fixed point), and the computer word length.

Keywords

Covariance Expense Autocorrelation Tral Aliasing 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1976

Authors and Affiliations

  • John D. Markel
    • 1
  • Augustine H. GrayJr.
    • 1
    • 2
  1. 1.Speech Communications Research Laboratory, Inc.Santa BarbaraUSA
  2. 2.Department of Electrical Engineering and Computer ScienceUniversity of California Santa BarbaraUSA

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