Table of Contents Author Guidelines Submit a Manuscript
Journal of Electrical and Computer Engineering
Volume 2018, Article ID 1895190, 5 pages
Research Article

Comparative Study between the Discrete-Frequency Kalman Filtering and the Discrete-Time Kalman Filtering with Application in Noise Reduction in Speech Signals

1Department of Electrical Engineering, Universidade Federal de Uberlândia, Av. João Naves de Ávila, 2160 Bloco 3N, Campus Santa Mônica, Uberlândia, MG, Brazil
2Department of Electrical Engineering, Faculdade de Talentos Humanos, R. Manoel Gonçalves de Rezende, 230 São Cristóvão, Uberaba, MG, Brazil
3Department of Electrical Engineering, Universidade Federal de Goiás, Av. Esperança, s/n. Campus Universitário, Goiânia, GO, Brazil

Correspondence should be addressed to Leandro Aureliano da Silva; rb.moc.oohay@onailerua_ordnael

Received 26 January 2018; Accepted 15 April 2018; Published 3 June 2018

Academic Editor: Shunyi Zhao

Copyright © 2018 Leandro Aureliano da Silva 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 article aims to carry out a comparative study between discrete-time and discrete-frequency Kalman filters. In order to assess the performance of both methods for speech reconstruction, we measured the output segmental signal-to-noise ratio and the Itakura-Saito distance provided by each algorithm over 25 different voice signals. The results show that although the two algorithms performed very similarly regarding noise reduction, the discrete-time Kalman filter produced smaller spectral distortion on the estimated signals when compared with the discrete-frequency Kalman filter.