Mean square error optimal weighting for multitaper cepstrum estimation
Author
Summary, in English
The aim of this paper is to find a multitaper-based spectrum estimator that is mean square error optimal for cepstrum coefficient estimation. The multitaper spectrum estimator consists of windowed periodograms which are weighted together, where the weights are optimized using the Taylor expansion of the log-spectrum variance and a novel approximation for the log-spectrum bias. A thorough discussion and evaluation are also made for different bias approximations for the log-spectrum of multitaper estimators. The optimized weights are applied together with the sinusoidal tapers as the multitaper estimator. Comparisons of the cepstrum mean square error are made of some known multitaper methods as well as with the parametric autoregressive estimator for simulated speech signals.
Department/s
- Mathematical Statistics
- Statistical Signal Processing Group
- eSSENCE: The e-Science Collaboration
Publishing year
2013
Language
English
Pages
1-158
Publication/Series
Eurasip Journal on Advances in Signal Processing
Volume
Oct 2013
Issue
2013:158
Document type
Journal article
Publisher
Hindawi Limited
Topic
- Probability Theory and Statistics
Keywords
- Mean square error
- Multitaper
- Log-spectrum
- Cepstrum
- Optimal
- Statistics
- Bias
- Variance
Status
Published
Research group
- Statistical Signal Processing
- Statistical Signal Processing Group
ISBN/ISSN/Other
- ISSN: 1687-6172