Maximum likelihood angle estimation for signals with known waveforms

Li, J.; Compton, R.T.

doi:10.1109/78.236507

Cited by 118 publications

(79 citation statements)

References 15 publications

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“…A double echo, fast spin echo series with a 24-cm field of view and 256 ϫ 256 matrix with 3 mm͞0 gap [repeat time ϭ 6,000 (3 T) and 2,000 (1.5 T); echo time ϭ 17͞85 (3 T) and 30͞90 (1.5 T)] was acquired for MRI registration with PET. An intermodality image co-registration program (38) that uses image segmentation and simulation as preprocessing procedures was used to co-register PET and anatomical MRI images of each subject. Rules for region of interest (ROI) drawing were based on the identification of gyral and sulcal landmarks with respect to the atlas of Talairach and Tournoux (39 (40).…”

Section: Methodsmentioning

confidence: 99%

Serotonin 1A receptors in the living brain of Alzheimer's disease patients

Kepe

Barrio

Huang

et al. 2006

Proc. Natl. Acad. Sci. U.S.A.

212

154

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[F-18]MPPF ͉ brain 5-HT1A receptors ͉ neuronal loss ͉ positron emission tomography E xtensive brain cell loss in vulnerable cortical neuronal populations is one of the most striking hallmarks of Alzheimer's disease (AD). Neuronal loss appears to be correlated with the presence of abundant intraneuronal neurofibrillary tangles (NFTs) and is also an excellent parameter to correlate with the degree of dementia (1). Among the vulnerable neurons affected in the earliest stages of the disease are large pyramidal neurons in the CA1 and subicular regions of hippocampus, a part of the medial temporal lobe (MTL) system supporting declarative memory (2). The pattern of neuronal loss in AD is distinctively different from the cell loss observed in normal aging and is highest in entorhinal cortex and hippocampus CA1 region (1, 3). Although these large pyramidal neurons are glutamatergic in nature, they receive inhibitory serotonergic input from the dorsal raphe nucleus via the serotonin 1A (5-HT 1A ) receptors located on their axonal hillock (4). The correlation between the loss of glutamatergic pyramidal neurons in CA1 field of hippocampus and the decrease in 5-HT 1A receptor densities in the same areas was demonstrated earlier by using in vitro 4- [F-18] and can be partially attributed to the neuronal loss in epileptic foci (6). Availability of methods for 5-HT 1A receptor density quantification with PET therefore offers an excellent opportunity for in vivo assessment of neuronal damage in 5-HT 1A receptor-rich areas in AD, particularly in hippocampus. In this work, changes in 5-HT 1A receptor densities in the living brain of AD patients (ADs) and mild cognitive impairment patients (MCIs) were also correlated with global and regional measures of glucose metabolic activity, with the extent and spatial distribution of the NFT͞␤-amyloid senile plaque deposition and with behavioral measures [e.g., Mini Mental State Exam (MMSE) and Buschke scores]. In vitro autoradiography in ADs and normal subject brain specimens was used in support of the observations in living subjects.

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Section: Methodsmentioning

confidence: 99%

Serotonin 1A receptors in the living brain of Alzheimer's disease patients

Kepe

Barrio

Huang

et al. 2006

Proc. Natl. Acad. Sci. U.S.A.

212

154

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“…While the conditional observation model with unknown waveforms seems more challenging, the conditional model with known waveforms signals which will be used in this paper can be found in several applications such as in mobile telecommunication and radar (see e.g. [35], [36], [37], [38], and [39]). …”

Section: B Assumptionsmentioning

confidence: 99%

Some results on the Weiss–Weinstein bound for conditional and unconditional signal models in array processing

Renaux

Boyer

et al. 2014

Signal Processing

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In this paper, the Weiss-Weinstein bound is analyzed in the context of sources localization with a planar array of sensors. Both conditional and unconditional source signal models are studied. First, some results are given in the multiple sources context without specifying the structure of the steering matrix and of the noise covariance matrix.Moreover, the case of an uniform or Gaussian prior are analyzed. Second, these results are applied to the particular case of a single source for two kinds of array geometries: a non-uniform linear array (elevation only) and an arbitrary planar (azimuth and elevation) array.

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“…Finally, assuming known orthogonal wavefronts [38] (i. e., s H m , s m = 0) and replacing (35) and ( …”

Section: Proof Of Lemmamentioning

confidence: 99%

“…Furthermore, for sake of simplicity and clarity, the sources have been assumed known and orthogonal (e.g., [7,38]). In this case, the unknown parameter vector is fixed and does not grow with the number of snapshots.…”

Section: Assumptionsmentioning

confidence: 99%

Statistical resolution limit for the multidimensional harmonic retrieval model: hypothesis test and Cramér-Rao Bound approaches

Korso

Boyer

Renaux

et al. 2011

EURASIP J. Adv. Signal Process.

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The statistical resolution limit (SRL), which is defined as the minimal separation between parameters to allow a correct resolvability, is an important statistical tool to quantify the ultimate performance for parametric estimation problems. In this article, we generalize the concept of the SRL to the multidimensional SRL (MSRL) applied to the multidimensional harmonic retrieval model. In this article, we derive the SRL for the so-called multidimensional harmonic retrieval model using a generalization of the previously introduced SRL concepts that we call multidimensional SRL (MSRL). We first derive the MSRL using an hypothesis test approach. This statistical test is shown to be asymptotically an uniformly most powerful test which is the strongest optimality statement that one could expect to obtain. Second, we link the proposed asymptotic MSRL based on the hypothesis test approach to a new extension of the SRL based on the Cramér-Rao Bound approach. Thus, a closed-form expression of the asymptotic MSRL is given and analyzed in the framework of the multidimensional harmonic retrieval model. Particularly, it is proved that the optimal MSRL is obtained for equi-powered sources and/or an equi-distributed number of sensors on each multi-way array.

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Maximum likelihood angle estimation for signals with known waveforms

Cited by 118 publications

References 15 publications

Serotonin 1A receptors in the living brain of Alzheimer's disease patients

Serotonin 1A receptors in the living brain of Alzheimer's disease patients

Some results on the Weiss–Weinstein bound for conditional and unconditional signal models in array processing

Statistical resolution limit for the multidimensional harmonic retrieval model: hypothesis test and Cramér-Rao Bound approaches

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