Optimal Cepstrum Smoothing
(2012) In Signal Processing 92(5). p.1290-1301- Abstract
- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2225111
- author
- Sandberg, Johan LU and Sandsten, Maria LU
- organization
- publishing date
- 2012
- 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
- 2016-04-01 10:36:58
- date last changed
- 2022-01-26 00:56:22
@article{9f368b0f-b7a2-4b20-8798-32e79c55681c,
abstract = {{Abstract in Undetermined<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}},
keywords = {{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}},
doi = {{10.1016/j.sigpro.2011.11.026}},
volume = {{92}},
year = {{2012}},
}