Computational and Mathematical Methods in Medicine
Volume 2012 (2012), Article ID 917695, 10 pages
Research Article

Decimative Spectral Estimation with Unconstrained Model Order

Department of Voice and Sound Technology, Institute for Language and Speech Processing / “Athena” R.C., Artemidos 6 and Epidavrou, 151 25 Maroussi, 6 Artemidos Street and Epidavrou, 15125 Paradissos Amaroussiou, Greece

Received 8 July 2011; Revised 22 August 2011; Accepted 26 September 2011

Academic Editor: Hugo Palmans

Copyright © 2012 Stavroula-Evita Fotinea et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper presents a new state-space method for spectral estimation that performs decimation by any factor, it makes use of the full set of data and brings further apart the poles under consideration, while imposing almost no constraints to the size of the Hankel matrix (model order), as decimation increases. It is compared against two previously proposed techniques for spectral estimation (along with derived decimative versions), that lie among the most promising methods in the field of spectroscopy, where accuracy of parameter estimation is of utmost importance. Moreover, it is compared against a state-of-the-art purely decimative method proposed in literature. Experiments performed on simulated NMR signals prove the new method to be more robust, especially for low signal-to-noise ratio.