Speech Signal reconstruction using interpolation methods with Warped frequencies

  • 1 Department of Mathematical Engineering, Faculty of Mathematical & Physical Engineering, Polytechnic University of Tirana, Tirana, Albania


In this paper we will study an important part of the speech signal processing, the reconstruction of the signal. We will use the Newton interpolation method with a deterministic model and warped frequencies in order, maybe, to get a better reconstruction process of the signal. To determine the efficiency of the method we will use two criteria like: accuracy of reconstruction, noise stability. Then we will test this algorithm using the criteria that we proposed above versus the classic Yen’s algorithm. At the end of our experiment we will see that in noise stability our algorithm performs better but not in the reconstruction accuracy. In overall Yen’s algorithm performs slightly better.


  1. Abdul J. Jerri, "The Shannon Sampling Theorem-Its Various Extensions and Applications: A Tutorial Review", proceedings of IEEE vol.65, no.11, November 1977
  2. W.L. Ferrar ," On the consistency of cardinal function interpolation", Proc. Roy. Soc. Edinburgh, vol. 47, pp. 230-242, 1927
  3. Weiss, "Sampling theorems associated with Strum-Liouville systems", Bull. Math. Soc., vol. 63, p.242 (abstract 459) 1957
  4. H.P. Kramer, "A generalized sampling theorem", J. Math. Phys., vol. 38, pp. 68-72, 1959
  5. E.V.D. Ouderra and J. Renneboog, "Some Formulas and applications of Nonuniform Sampling of Bandwidth limited Signals", IEEE Trans. on Instrm. and Measurement. vol. 37, No. 3, September 1988
  6. A. Papoulis, "Generalized Sampling Expansion" IEEE Trans. Circuits and Systems. Vol. CAS-24, pp.652-654, Nov 1977

Article full text

Download PDF