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Mean square error optimal weighting for multitaper cepstrum estimation

Sandsten, Maria LU (2013) In Eurasip Journal on Advances in Signal Processing Oct 2013(2013:158). p.1-158
Abstract
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... (More)
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. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Mean square error, Multitaper, Log-spectrum, Cepstrum, Optimal, Statistics, Bias, Variance
in
Eurasip Journal on Advances in Signal Processing
volume
Oct 2013
issue
2013:158
pages
1 - 158
publisher
Hindawi Limited
external identifiers
  • wos:000326055200001
ISSN
1687-6172
DOI
10.1186/1687-6180-2013-158
language
English
LU publication?
yes
id
d53f4c77-701a-4cc4-9150-daa642a3694f (old id 4175264)
date added to LUP
2016-04-01 11:16:38
date last changed
2018-11-21 19:57:35
@article{d53f4c77-701a-4cc4-9150-daa642a3694f,
  abstract     = {{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.}},
  author       = {{Sandsten, Maria}},
  issn         = {{1687-6172}},
  keywords     = {{Mean square error; Multitaper; Log-spectrum; Cepstrum; Optimal; Statistics; Bias; Variance}},
  language     = {{eng}},
  number       = {{2013:158}},
  pages        = {{1--158}},
  publisher    = {{Hindawi Limited}},
  series       = {{Eurasip Journal on Advances in Signal Processing}},
  title        = {{Mean square error optimal weighting for multitaper cepstrum estimation}},
  url          = {{http://dx.doi.org/10.1186/1687-6180-2013-158}},
  doi          = {{10.1186/1687-6180-2013-158}},
  volume       = {{Oct 2013}},
  year         = {{2013}},
}