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Asymptotic Bounds for Frequency Estimation in the Presence of Multiplicative Noise
2006
EURASIP Journal on Advances in Signal Processing
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We discuss the asymptotic Cramer-Rao bound (CRB) for frequency estimation in the presence of multiplicative noise. ...
Finally, an asymptotic closed form CRB for frequency estimation in the presence of multiplicative and additive colored noise is derived. ...
Although the performance of frequency estimation in the presence of additive noise is rather well understood, the same can not be stated for frequency estimation in the presence of multiplicative noise ...
doi:10.1155/2007/17090
fatcat:tvimvlblafbmpiladwsjrnzc4a
Optimal doppler frequency estimators for ultrasound and optical coherence tomography
2012
2012 IEEE Biomedical Circuits and Systems Conference (BioCAS)
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These findings motivate further work in maximum likelihood estimators under conditions of both additive and multiplicative noise. ...
Nevertheless, the Kasai estimator outperforms the AWGN MLE under moderate levels of multiplicative decorrelation noise, and could therefore be considered more robust. ...
, and the Glaucoma Research Foundation Catalyst for a Cure. ...
doi:10.1109/biocas.2012.6418446
fatcat:urcebodtpbcfxjsnk3wvmhqn5u
Harmonic retrieval in the presence of non-circular Gaussian multiplicative noise: performance bounds
2005
Signal Processing
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We address the problem of harmonic retrieval in the presence of multiplicative and additive noise sources. ...
In the new context of a complex-valued non-circular Gaussian multiplicative noise, we express the Crame´r-Rao bound (CRB) as well as the asymptotic (large sample) CRB in closed form. ...
These papers focus on DOA estimation, which boils down to estimating the frequency of an exponential harmonic in the presence of a circular multiplicative noise. ...
doi:10.1016/j.sigpro.2004.11.015
fatcat:ajpofjbucrgrlmsvtez2h3n5u4
Performance analysis of blind carrier frequency offset estimators for noncircular transmissions through frequency-selective channels
2002
IEEE Transactions on Signal Processing
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Consistency and asymptotic normality of the frequency estimator together with a closed-form expression for its asymptotic variance are also established. ...
The closed-form expression of the asymptotic variance enables analysis of the performance of the proposed frequency offset estimator as a function of the number of estimated cyclic correlation coefficients ...
By choosing , it is shown that in presence of an unknown frequency-selective channel of arbitrary memory, the asymptotic variance of the frequency offset estimator achieves almost the same asymptotic variance ...
doi:10.1109/78.972489
fatcat:n5bfqwq26zaghcmw2quzkmhpuu
Frequency estimation in the presence of Doppler spread: performance analysis
2001
IEEE Transactions on Signal Processing
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In this paper, we are concerned with the estimation of the frequency of a complex sinusoid that has been corrupted by complex-valued multiplicative and additive noises. ...
The latter gives insights into the effective coherent and noncoherent SNRs for frequency estimation. ...
Frequency estimation in the presence of zero-mean complexvalued multiplicative noise was studied in [1] . ...
doi:10.1109/78.912922
fatcat:4z4kddshw5avbnga5o2yk5vmdi
Optimal blind carrier recovery for MPSK burst transmissions
2003
IEEE Transactions on Communications
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The asymptotic variance of these estimators is established in closed-form expression and shown to approach the Cramèr-Rao lower bound of an unmodulated carrier at medium and high signal-to-noise ratios ...
This paper introduces and analyzes the asymptotic (large sample) performance of a family of blind feedforward nonlinear least-squares (NLS) estimators for joint estimation of carrier phase, frequency offset ...
: Experiment 5-Performance of Frequency Estimators (29) in Flat Ricean-Fading Channels: This experiment illustrates that the proposed frequency offset estimators (29) still perform well in the presence ...
doi:10.1109/tcomm.2003.816979
fatcat:tf22mpmz5beyng324oqcaxi7dm
Minimax estimation of continuous time deterministic signals in colored noise
1987
Stochastic Processes and their Applications
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An expression for the asymptotic minimax estimation error is developed. estimation * non-parametric filtering * minimax estimation * deterministic signal filtering 0304-4149/88/$3.50 O 1988, Elsevier Science ...
This paper considers continuous time estimation of non-random data corrupted by random noise. ...
Simple linear estimates of signals are shown to be asymptotically optimal on fixed observation intervals in the presence of vanishingly small noise or for fixed noise level and unbounded observation times ...
doi:10.1016/0304-4149(87)90008-1
fatcat:kzw7kfhk4jcovk64uj7ye4bhdi
Blind channel and carrier frequency offset estimation using periodic modulation precoders
2000
IEEE Transactions on Signal Processing
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It is shown that compensating for the carrier frequency offset introduces no penalty in the asymptotic performance of the subspace channel estimator. ...
An all-digital open-loop carrier frequency offset estimator is developed, and its asymptotic (large sample) performance is analyzed and compared to the Cramér-Rao bound (CRB). ...
FREQUENCY OFFSET ESTIMATION Estimating from in (24) amounts to retrieving a complex exponential in multiplicative noise [ is random] and additive noise : a problem originally addressed in [16] and [ ...
doi:10.1109/78.852019
fatcat:wwqne4abrzae7gcquwqs6dpv2y
Electrical Network Frequency (ENF) Maximum-Likelihood Estimation Via a Multitone Harmonic Model
2013
IEEE Transactions on Information Forensics and Security
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In this paper, we consider the problem of estimating the base frequency and signal to noise ratio (SNR). ...
We use the Cramer-Rao bound for the frequency estimation problem and show that this approach can lead to a theoretical O(M 3 ) factor improvement in the estimation accuracy, where M is the number of harmonics ...
ACKNOWLEDGEMENTS The authors would like to thank Chief Inspector Saad Sofer of the Forensic Expertise in Jerusalem Police Headquarters for introducing us to the ENF criterion and inspiring us with its ...
doi:10.1109/tifs.2013.2253462
fatcat:dmq7oeitlfemldjrm54afz5dsa
Cramer-Rao bounds and maximum likelihood estimation for random amplitude phase-modulated signals
1999
IEEE Transactions on Signal Processing
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The problem of estimating the phase parameters of a phase-modulated signal in the presence of colored multiplicative noise (random amplitude modulation) and additive white noise (both Gaussian) is addressed ...
of the multiplicative noise is forced to zero. ...
Further, the problem of estimating the frequency offset in mobile communications can be regarded as a harmonic retrieval problem in the presence of multiplicative noise (time-selective fading) [6] , ...
doi:10.1109/78.796427
fatcat:v4swpygu4ve7rofraaggn43xcq
Interference estimation with applications to blind multiple-access communication over fading channels
2000
IEEE Transactions on Information Theory
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We propose blind implementations of these detectors for nonorthogonal multipulse signaling on both frequency-nonselective and frequency-selective multiple-access fading channels. ...
We consider the detection of nonorthogonal multipulse signals on multiple-access fading channels. ...
MULTIUSER COMMUNICATION ON THE FREQUENCY SELECTIVE FADING CHANNEL In the presence of frequency-selective fading with multipath spread (assumed to be equal for each user for simplicity) we develop a tapped-delay ...
doi:10.1109/18.841173
fatcat:6x4rlicc4ze57gbji7n6er5y5m
On Parameter Estimation Using Nonparametric Noise Models
2006
IEEE Transactions on Automatic Control
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The estimated noise model is then substituted for the the true noise covariance matrix in the maximum likelihood loss function to obtain suboptimal parameter estimates. ...
The goal here is to present an analysis of the resulting estimates. Sufficient conditions for consistency are derived, and an asymptotic accuracy analysis is carried out. ...
In order to obtain the nonparametric estimate of the noise covariance matrix, we need multiple measurements of the data at every frequency point. ...
doi:10.1109/tac.2006.882936
fatcat:m3le62yzmrdzho3plsxxba53xi
Blind channel estimation for multicarrier systems with narrowband interference suppression
2003
IEEE Communications Letters
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To overcome this difficulty, we derive an asymptotically (in SNR) tight lower bound of the filterbank output power and use it for channel estimation, which reduces the problem to a quadratic minimization ...
We present herein a novel blind channel estimator for multicarrier (MC) systems in the presence of unmodeled narrowband interference. ...
For finite SNR and in the presence of interference, we evaluate the accuracy of via simulations in Section IV. ...
doi:10.1109/lcomm.2003.814030
fatcat:hiqt4m6w75btpdcqdms66m5cem
On the cramer-rao bound for carrier frequency estimation in the presence of phase noise
2007
IEEE Transactions on Wireless Communications
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In addition, we provide asymptotic expressions of the Cramer-Rao bound, from which the effect of the phase noise and the dependence on the system parameters of the frequency offset estimation accuracy ...
As it will be shown, the presence of the phase noise produces a remarkable performance degradation of the frequency estimation accuracy. ...
CONCLUSIONS In this paper, the Cramer-Rao lower bound for frequency estimation in the presence of phase noise has been computed. ...
doi:10.1109/twc.2007.05270
fatcat:l5qy7ipyqjg4ja6fcxlsvtv5ay
On the Cramer-Rao bound for carrier frequency estimation in the presence of phase noise
2005
GLOBECOM '05. IEEE Global Telecommunications Conference, 2005.
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In addition, we provide asymptotic expressions of the Cramer-Rao bound, from which the effect of the phase noise and the dependence on the system parameters of the frequency offset estimation accuracy ...
As it will be shown, the presence of the phase noise produces a remarkable performance degradation of the frequency estimation accuracy. ...
CONCLUSIONS In this paper, the Cramer-Rao lower bound for frequency estimation in the presence of phase noise has been computed. ...
doi:10.1109/glocom.2005.1577889
dblp:conf/globecom/BarbieriBC05
fatcat:gehxxxnlgndcphtmnintknn5zu
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