Bicepstrum computation based on second- and third-order statistics with applications
- 4 December 2002
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- No. 15206149,p. 2381-2385
- https://doi.org/10.1109/icassp.1990.116061
Abstract
The authors introduce a novel approach for bicepstrum (i.e. cepstrum of the bispectrum) estimation that combines the use of second- and third-order statistics, and show application of this method to the problem of detecting and estimating the time delay between signals received at two spatially separated sensors together with noise, as well as to nonminimum phase system identification. The approach for time delay estimation is parametric, in the sense that it provides the time delay estimates directly and explicitly instead of examining the results of some reference functions. The performance of this method is demonstrated for different noise conditions and lengths of data. The performance is also compared to that of the least-squares method, which is based entirely on second-order statistics. It is shown that bicepstrum-based time delay estimation provides larger performance gain when the noise sources are Gaussian spatially correlated with unknown correlation function.<>Keywords
This publication has 9 references indexed in Scilit:
- Cumulant cepstrum of FM signals and high-resolution time delay estimationPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- Blind equalization using a tricepstrum-based algorithmIEEE Transactions on Communications, 1991
- The complex cepstrum of higher order cumulants and nonminimum phase system identificationIEEE Transactions on Acoustics, Speech, and Signal Processing, 1988
- Time delay estimation in unknown Gaussian spatially correlated noiseIEEE Transactions on Acoustics, Speech, and Signal Processing, 1988
- Bispectrum estimation: A digital signal processing frameworkProceedings of the IEEE, 1987
- Coherence and time delay estimationProceedings of the IEEE, 1987
- Time delay estimation for passive sonar signal processingIEEE Transactions on Acoustics, Speech, and Signal Processing, 1981
- A parameter estimation approach to time-delay estimation and signal detectionIEEE Transactions on Acoustics, Speech, and Signal Processing, 1980
- The least squares estimation of time delay and its use in signal detectionIEEE Transactions on Acoustics, Speech, and Signal Processing, 1978