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Optimal Cepstrum Smoothing

Sandberg, Johan LU and Sandsten, Maria LU (2012) In Signal Processing 92(5). p.1290-1301
Abstract (Swedish)
Abstract in Undetermined

The cepstrum of a random process has proven to be a useful tool in a wide range of applications. The common cepstrum estimator based on the periodogram suffers from large variance, and, to a smaller degree, from bias. The variance can be reduced by smoothing. However, the smoothing may be performed in four different domains: the covariance, the spectral, the log-spectral, and the cepstral domain. We present the mean square error (MSE) optimal smoothing kernels in each domain for estimation of the cepstrum. The lower MSE bound of each of the four families of estimators are compared. We also demonstrate how the four MSE optimal estimators differ in robustness.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Cepstrum, Smoothing
in
Signal Processing
volume
92
issue
5
pages
1290 - 1301
publisher
Elsevier
external identifiers
  • wos:000300204200010
  • scopus:84855593845
ISSN
0165-1684
DOI
10.1016/j.sigpro.2011.11.026
language
English
LU publication?
yes
id
9f368b0f-b7a2-4b20-8798-32e79c55681c (old id 2225111)
date added to LUP
2011-12-22 20:50:44
date last changed
2017-03-13 13:12:12
@article{9f368b0f-b7a2-4b20-8798-32e79c55681c,
  abstract     = {<b>Abstract in Undetermined</b><br/><br>
The cepstrum of a random process has proven to be a useful tool in a wide range of applications. The common cepstrum estimator based on the periodogram suffers from large variance, and, to a smaller degree, from bias. The variance can be reduced by smoothing. However, the smoothing may be performed in four different domains: the covariance, the spectral, the log-spectral, and the cepstral domain. We present the mean square error (MSE) optimal smoothing kernels in each domain for estimation of the cepstrum. The lower MSE bound of each of the four families of estimators are compared. We also demonstrate how the four MSE optimal estimators differ in robustness.},
  author       = {Sandberg, Johan and Sandsten, Maria},
  issn         = {0165-1684},
  keyword      = {Cepstrum,Smoothing},
  language     = {eng},
  number       = {5},
  pages        = {1290--1301},
  publisher    = {Elsevier},
  series       = {Signal Processing},
  title        = {Optimal Cepstrum Smoothing},
  url          = {http://dx.doi.org/10.1016/j.sigpro.2011.11.026},
  volume       = {92},
  year         = {2012},
}