A robust detector is proposed for detection of the consistency of two speech signals. The detection is based on comparing the pitch periods of the speech signals. The distribution of the noise is assumed to be a mixture of Laplacian distribution, giving a sharp peak around the true value of the signal of interest and uniform distribution modelling the contributions of completely unknown noise. This type of noise appears in problems related to estimated pitch periods. We derive a robust detector for this noise model and analyse its performance.
1. Kay, S. M. Statistical Signal Processing, Volume II, Detection Theory. Prentice Hall, 1998.
2. Haykin, S., Thomson, D. J., and Reed, J. H. Spectrum sensing for cognitive radio. Proc. IEEE, 2009, 97, 849–877.
3. Quan, Z., Poor, H. V., and Sayed, A. H. Collaborative wideband sensing for cognitive radios. IEEE Signal Process. Mag., 2008, 25, 60–73.
4. Pham, D., Zoubir, A., Bricic, R., and Leung, Y. A nonlinear m-estimation approach to robust asynchronous multiuser detection in non-Gaussian noise. IEEE Trans. Signal Process., 2007, 55, 1624–1633.
5. Wang, X. and Poor, H. V. Robust multiuser detection in non-Gaussian noise. IEEE Trans. Signal Process., 1999, 47, 289–305.
6. Wu, M., Wang, D., and Brown, G. J. A multipath tracking algorithm for noisy speech. IEEE Trans. Speech Audio Process., 2003, 11, 229–241.
7. Wu, M. and Wang, D. A pitch-based method for the estimation of short reverberation time. Acta Acustica united with Acustica, 2006, 92, 337–339.
8. Trump, T. Detection of echo generated in mobile phones using pitch distance. In Proc. 16th European Signal Processing Conference (EUSIPCO). 2008.
9. ITU-T Recommendation G.160. Voice Enhancement Devices. ITU-T, 2008.
10. Ritsma, R. J. Frequencies dominant in the perception of the pitch of complex sounds. J. Acoust. Soc. Amer., 1967, 42, 191–198.
11. Huber, P. J. Robust Statistics. John Wiley and Sons, 2004.
12. Trump, T. A robust detector for impulsive noise environment. In Forty-First Asilomar Conf. on Signals, Systems, and Computers. 2007, 730–734.
13. Van Trees, H. L. Detection, Estimation and Modulation Theory. John Wiley and Sons, 1968.14. Papoulis, A. and Pillai, S. U. Probability, Random Variables and Stochastic Processes. McGraw Hill, 2002.