Sign in
Author

Conference

Journal

Organization

Year

DOI
Look for results that meet for the following criteria:
since
equal to
before
between
and
Search in all fields of study
Limit my searches in the following fields of study
Agriculture Science
Arts & Humanities
Biology
Chemistry
Computer Science
Economics & Business
Engineering
Environmental Sciences
Geosciences
Material Science
Mathematics
Medicine
Physics
Social Science
Multidisciplinary
Keywords
(14)
Error Probability
Estimation Error
Hypothesis Test
Indexing Terms
Limit Theorem
Multivariate Normal Distribution
Performance Measure
Probability Distribution
Probability of Error
Standard Deviation
Additive White Gaussian Noise
Error Rate
Mean Square
Wiener Filter
Related Publications
(1)
A theoretical result for processing signals that have unknown distributions and priors in white Gaussian noise
Subscribe
Academic
Publications
Algorithms and Applications for Estimating the Standard Deviation of AWGN when Observations are not SignalFree
Algorithms and Applications for Estimating the Standard Deviation of AWGN when Observations are not SignalFree,10.4304/jcp.2.7.110,Journal of Comput
Edit
Algorithms and Applications for Estimating the Standard Deviation of AWGN when Observations are not SignalFree
(
Citations: 5
)
BibTex

RIS

RefWorks
Download
Dominique Pastor
,
Asmaa Amehraye
Consider observations where random signals are randomly present or absent in independent and
additive white Gaussian noise
(AWGN). By using a recently estab lished limit theorem, we introduce a new estimator for the estimation of the noise
standard deviation
when the signals are less present than absent and have unknown probability distributions. The bias, the consistency and the minimum attainable
mean square
estimation error
of the estimator we propose are still unknown. However, the experimental results that are presented are very promising. First, when the Minimum ProbabilityofError decision scheme for the noncoherent detection of modulated sinusoidal carriers in independent AWGN is tuned with the outcome of our estimator instead of the true value of the noise standard deviation, the Binary
Error Rate
tends to the optimal
error probability
when the number of observations is large enough. Second, given some speech signal corrupted by independent AWGN, our estimator can be used to estimate the noise
standard deviation
so as to adjust the standard Wiener filtering of the noisy speech. The objective performance measurements obtained by so proceeding are very close to those achieved when the Wiener filtering is tuned with the true value of the noise standard deviation.
Journal:
Journal of Computers  JCP
, vol. 2, no. 7, pp. 110, 2007
DOI:
10.4304/jcp.2.7.110
Cumulative
Annual
View Publication
The following links allow you to view full publications. These links are maintained by other sources not affiliated with Microsoft Academic Search.
(
www.informatik.unitrier.de
)
(
academypublisher.com
)
(
www.academypublisher.com
)
(
www.academypublisher.com
)
More »
Citation Context
(3)
...MCESE is a non parametric estimator that exploits the recent results in statistical decision and est imation theory developed in [1,
2
]. The second method, purely dedicated to OFDM signals, exploits the redundancy induced by the cyclic prefix (CP)...
...In order t o analyse to what extent the asymptotic conditions involved by this convergence can be relaxed for applications in radar and speech processing where observations are complex values and signals of interest are mostly less present than absent, the authors in [1,
2
] experimentally address the case where d = 2, the upperbound p is 1/2, r = 1 and s = 0, a rather natural choice with respect to the inequalities above that r and s must ...
...When p ≤ 1/2, d = 2, r = 1 and s = 0, the experimental results in [1,
2
] suggest that the asymptotic conditions about the amplitudes of the signals can be relaxed significantly...
...According to these results, an estimate of th e OFDM noise standard deviation can be computed as follows (see [
2
] for further details):...
...reader is asked to refer to [1,
2
] for the computation of the search interval required for this minimisation...
FrançoisXavier Socheleau
,
et al.
Blind noise variance estimation for OFDMA signals
...Estimators of the noise standard deviation, derived from this theoretical result, are proposed in [11] and [
12
]...
...According to the theoretical and experimental results presented in [11] and [
12
], these estimators can be expected to perform well even when many signal coefficients are present among the detail wavelet coefficients...
Dominique Pastor
,
et al.
SPARSITY FROM BINARY HYPOTHESIS TESTING AND APPLICATION TO NONPARAMET...
...In fact, on the basis of the theoretical background presented in this chapter, applications to speech processing [25], as a continuation of [
23
], and to orthogonal frequency division multiple access [32]–a promising multiple access technology for new generation wireless networks–have been proposed in [25]...
Dominique Pastor
,
et al.
Wavelet Shrinkage: From Sparsity and Robust Testing to Smooth Adaptati...
References
(12)
A sharp upper bound for the probability of error of the likelihood ratio test for detecting signals in white Gaussian noise
(
Citations: 12
)
Dominique Pastor
,
Roger Gay
,
Albert Groenenboom
Journal:
IEEE Transactions on Information Theory  TIT
, vol. 48, no. 1, pp. 228238, 2002
Speech enhancement using a minimummean square error shorttime spectral amplitude estimator
(
Citations: 928
)
Y. Ephraim
,
D. Malah
Journal:
IEEE Transactions on Acoustics, Speech, and Signal Processing
, vol. 32, no. 6, pp. 11091121, 1984
Objective measures of speech quality
(
Citations: 298
)
S. Quackenbush
,
T. Barnwell
,
M. Clements
Published in 1988.
A modified bark spectral distortion measure which uses noise masking threshold
(
Citations: 31
)
Wonho Yang
,
Myron Dixon
,
Robert Yantorno
Published in 1997.
An Objective Measure for Predicting Subjective Quality of Speech Coders
(
Citations: 172
)
Shihua Wang
,
Andrew Sekey
,
Allen Gersho
Journal:
IEEE Journal on Selected Areas in Communications  JSAC
, vol. 10, no. 5, pp. 819829, 1992
Sort by:
Citations
(5)
Robust Statistics Based Noise Variance Estimation: Application to Wideband Interception of NonCooperative Communications
(
Citations: 1
)
FrancoisXavier Socheleau
,
Dominique Pastor
,
UMR CNRS
Published in 2010.
Blind noise variance estimation for OFDMA signals
(
Citations: 2
)
FrançoisXavier Socheleau
,
Dominique Pastor
,
Abdeldjalil AïssaElBey
,
Sébastien Houcke
Conference:
International Conference on Acoustics, Speech, and Signal Processing  ICASSP
, pp. 25812584, 2009
SPARSITY FROM BINARY HYPOTHESIS TESTING AND APPLICATION TO NONPARAMETRIC ESTIMATION
(
Citations: 4
)
Dominique Pastor
,
Abdourrahmane M. Atto
Published in 2008.
Sparsity hypotheses for robust estimation of the noise standard deviation in various signal processing applications
(
Citations: 1
)
Dominique Pastor
,
FrancoisXavier Socheleau
Wavelet Shrinkage: From Sparsity and Robust Testing to Smooth Adaptation
Dominique Pastor
,
Abdourrahmane M. Atto