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The true CramerRao Bound for Timing . . .
"... This contribution derives the CramerRao bound (CRB) related to the estimation of the time delay of a linearly modulated bandpass signal with unknown carrier phase and frequency. We consider the following two scenarios: (i) joint estimation of the time delay, the carrier phase and the carrier frequ ..."
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This contribution derives the CramerRao bound (CRB) related to the estimation of the time delay of a linearly modulated bandpass signal with unknown carrier phase and frequency. We consider the following two scenarios: (i) joint estimation of the time delay, the carrier phase and the carrier
CramérRao Lower Bounds for the Synchronization of UWB Signals
"... In this paper, we present Cram erRao lower bounds (CRLBs) for the synchronization of UWB signals which should be tight lower bounds for the theoretical performance limits of UWB synchronizers. The CRLBs are investigated for both single pulse systems and timehopping systems in AWGN and multipath ch ..."
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Cited by 8 (1 self)
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In this paper, we present Cram erRao lower bounds (CRLBs) for the synchronization of UWB signals which should be tight lower bounds for the theoretical performance limits of UWB synchronizers. The CRLBs are investigated for both single pulse systems and timehopping systems in AWGN and multipath
Posterior CramérRao bounds for discretetime nonlinear filtering
 IEEE Trans. Signal Processing
, 1998
"... Abstract—A meansquare error lower bound for the discretetime nonlinear filtering problem is derived based on the Van Trees (posterior) version of the Cramér–Rao inequality. This lower bound is applicable to multidimensional nonlinear, possibly nonGaussian, dynamical systems and is more general tha ..."
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Cited by 178 (4 self)
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Abstract—A meansquare error lower bound for the discretetime nonlinear filtering problem is derived based on the Van Trees (posterior) version of the Cramér–Rao inequality. This lower bound is applicable to multidimensional nonlinear, possibly nonGaussian, dynamical systems and is more general
Standard CramerRao bound CramerRao bound with nuisance parameter Bayesian CramerRao bound Other bounds
"... We assume y(n) = a(n)e2ipif0n + b(n), n = 0,...,N − 1 with y(n) : the received signal a(n) : a zeromean random process or a timevarying amplitude. b(n) : circular white Gaussian stationary additive noise. Goal: Estimating the frequency f0 in multiplicative and additive noise ..."
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We assume y(n) = a(n)e2ipif0n + b(n), n = 0,...,N − 1 with y(n) : the received signal a(n) : a zeromean random process or a timevarying amplitude. b(n) : circular white Gaussian stationary additive noise. Goal: Estimating the frequency f0 in multiplicative and additive noise
PILOTSYMBOL ASSISTED CARRIER SYNCHRONIZATION: CRAMERRAO BOUND AND SYNCHRONIZER PERFORMANCE
"... Abstract This contribution considers the joint estimation of the carrier phase and the frequency offset from a noisy linearly modulated burst signal containing random data symbols (DS) as well as known pilot symbols (PS). The corresponding CramerRao lower bound (CRB) is derived. This bound indicat ..."
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Abstract This contribution considers the joint estimation of the carrier phase and the frequency offset from a noisy linearly modulated burst signal containing random data symbols (DS) as well as known pilot symbols (PS). The corresponding CramerRao lower bound (CRB) is derived. This bound
The true CramerRao bound for estimating the time delay of a linearly modulated waveform
"... In this contribution we consider the CramerRao bound (CRB) for the estimation of the time delay of a noisy linearly modulated signal with random data symbols. In spite of the presence of the nuisance parameters (i.e., the random data symbols), we obtain a closedform expression of this CRB for arbi ..."
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Cited by 1 (0 self)
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In this contribution we consider the CramerRao bound (CRB) for the estimation of the time delay of a noisy linearly modulated signal with random data symbols. In spite of the presence of the nuisance parameters (i.e., the random data symbols), we obtain a closedform expression of this CRB
Blind Signal Separation: Statistical Principles
, 2003
"... Blind signal separation (BSS) and independent component analysis (ICA) are emerging techniques of array processing and data analysis, aiming at recovering unobserved signals or `sources' from observed mixtures (typically, the output of an array of sensors), exploiting only the assumption of mut ..."
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Cited by 522 (4 self)
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Blind signal separation (BSS) and independent component analysis (ICA) are emerging techniques of array processing and data analysis, aiming at recovering unobserved signals or `sources' from observed mixtures (typically, the output of an array of sensors), exploiting only the assumption
The CramerRao Bound for Phase Estimation From Coded Linearly Modulated Signals
 IEEE COMM. LETTERS
, 2003
"... In this letter, we express the CramerRao Bound (CRB) for carrier phase estimation from a noisy linearly modulated signal with encoded data symbols, in terms of the marginal a posteriori probabilities (APPs) of the coded symbols. For a wide range of classical codes (block codes, convolutional codes, ..."
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Cited by 13 (8 self)
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In this letter, we express the CramerRao Bound (CRB) for carrier phase estimation from a noisy linearly modulated signal with encoded data symbols, in terms of the marginal a posteriori probabilities (APPs) of the coded symbols. For a wide range of classical codes (block codes, convolutional codes
Timing Recovery With Frequency Offset and Random Walk: Cramér–Rao Bound and a Phase Locked Loop Postprocessor
"... Abstract—We consider the problem of timing recovery for bandlimited, baudrate sampled systems with intersymbol interference and a timing offset that can be modeled as a combination of a frequency offset and a random walk. We first derive the Cramér–Rao bound (CRB), which is a lower bound on the est ..."
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Abstract—We consider the problem of timing recovery for bandlimited, baudrate sampled systems with intersymbol interference and a timing offset that can be modeled as a combination of a frequency offset and a random walk. We first derive the Cramér–Rao bound (CRB), which is a lower bound
The Impact of the Observation Model on the CramerRao Bound for Carrier and Frequency
 Synchronization”, in Proc. IEEE Int. Conf. Communications 2003
, 2003
"... Abstract — This contribution considers the CramerRao bound (CRB) related to the joint estimation of the carrier phase and frequency of a noisy linearly modulated signal with random data symbols, using the correct continuoustime model of the received signal. We compare our results with the existing ..."
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Cited by 2 (2 self)
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Abstract — This contribution considers the CramerRao bound (CRB) related to the joint estimation of the carrier phase and frequency of a noisy linearly modulated signal with random data symbols, using the correct continuoustime model of the received signal. We compare our results
Results 1  10
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64,354