We consider narrowband angle of arrival estimation in nonGaussian (NG) noise channels, such as arises in some indoor and outdoor mobile communications channels. We develop a general expression for the Cramer-Rao bound (CRB) for direction nding using arrays for deterministic signals plus iid non-Gaussian noise, generalizing the Gaussian CRB. The CRBs for the noise and direction parameters decoup...

Abstract : Recently, the authors have proposed a novel approach to Direction−Of−Arrival (DOA) estimation using the $\Hf$ criterion. This article examines the limits of performance of $\Hf$−based direction finding and arrives at a lower bound on the estimation error, analogous to the Cramer−Rao Bound (CRB). Furthermore, the analysis of the $\Hf$−based algorithm's prediction error using one of Ak...

| The problem of estimating the parameters of complex-valued sinusoidal signals (cisoids, for short) from data corrupted by colored noise occurs in many signal processing applications. We present a simple formula for the asymptotic (large-sample) Cram er-Rao bound (CRB) matrix associated with this problem. The maximum likelihood method (MLM), which estimates both the signal and noise parameters...

In this paper, the Cramér Rao bound (CRB) for range estimate between two underwater nodes is calculated. The nodes are equipped with Conductivity-Temperature-Density (CTD) sensors to measure their depths, and the sound speed at different depths, and an acoustic modem to measure their mutual time of flight. The measurement noise is assumed to be Gaussian distributed. We show how much the CRB get...

In this contribution we point out that the nondecision-aided (NDA) carrier synchronizer, maximizing the low E s / N o limit of the likelihood function averaged over a general 2r/N-rotationally symmetric signal constellation, reduces to the familiar timing-aided Nth power synchronizer; this extends a result from [6] where only M-PSK constellations have been considered. Whereas in the case of M-P...

The use of spectrally e cient continuous phase modulations for mobile communications may lead to a serious performance degradation of the classical frequency error detectors (FEDs) due to the presence of self-noise. This contribution presents a new statistically e cient frequency estimation algorithm for staggered modulations. The cancellation of the self-noise is accomplished by the use of the...

Noise-compensated autoregressive (AR) analysis is a problem insufficiently explored with regard to the accuracy of the estimate. This paper studies comprehensively the lower limit of the estimation variance, presenting the asymptotic Cramér– Rao bound (CRB) for Gaussian processes and additive Gaussian noise. This novel result is obtained by using a frequency-domain perspective of the problem as...

This paper analyzes the Cramér-Rao Bound associated with the estimation of certain sparse hyper-parameters in the Sparse Bayesian Learning (SBL) framework, that crucially control the sparsity of the desired signal. The CRB is shown to exhibit saturation with respect to the number of measurements, i.e., it can be lower bounded by a non-negative quantity that does not go to zero even when the num...

In this paper, we present a closed-form expression of a Bayesian Cramér-Rao lower bound for the estimation of a dynamical phase offset for a random BPSK sequence in an AWGN channel. The received symbols are disturbed by carrier phase offset which follows a Wiener model. Considering a received observation sequence, we provide a first analytical expression of the Bayesian CRB. Then, we derive an ...

We introduce the modified Cramer-Rao bound (CRB) which, like the hue CRB, is a lower bound to the error variance of any parameter estimator. The modified CRB proves useful when, in addition to the parameter to be estimated, the observed data also depend on other unwanted parameters. The relationship between the modified and true CRB is established and applications are discussed regarding the es...