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  1. Trends in Applied Sciences Research
  2. Vol 1 (4), 2006
  3. 350-361
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Trends in Applied Sciences Research

Year: 2006 | Volume: 1 | Issue: 4 | Page No.: 350-361

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Authors


Munir A. Chaudhuri


Aadel A. Chaudhuri


Keywords


  • reverse cantor set
  • Syllable
  • alphabet
  • written language
  • spectral methods
  • pseudo-spectral methods
  • sinc function
  • ideal sampling
  • physical sampling
  • rational delta function
Research Article

Transformation of Spoken to Written Forms of (Natural) Languages via Spectral and Pseudo-spectral Methods

Munir A. Chaudhuri and Aadel A. Chaudhuri
The concept of wave function is employed to mathematically model the the transformation of a natural language from its spoken to both written forms–syllable (symbol) based and alphabet based writings. The fundamental steps to solving this problem are concerned with the solution to the wave equation subjected to initial and boundary conditions and derivation of these solutions via Fourier series and Sinc series expansion techniques for symbol and alphabet-based writing, respectively, which, in turn, through ideal and physical sampling, reduce to discrete time (space) Fourier series (DTFT or DSFT) and discrete Fourier transform (DFT).
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How to cite this article

Munir A. Chaudhuri and Aadel A. Chaudhuri, 2006. Transformation of Spoken to Written Forms of (Natural) Languages via Spectral and Pseudo-spectral Methods. Trends in Applied Sciences Research, 1: 350-361.

URL: https://scialert.net/abstract/?doi=tasr.2006.350.361

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