Polynomial-phase signals have applications including radar, sonar, geophysics, and radio communication. Of practical importance is the estimation of the parameters of a polynomial phase signal from a sequence of noisy observations. We derive closed form formulae for the Cramér-Rao lower bounds of these parameters under the assumption that the noise is additive white and Gaussian. This is achiev...

Minimum-variance estimators for the parameter fnl that quantifies local-model non-Gaussianity can be constructed from the cosmic microwave background (CMB) bispectrum (three-point function) and also from the trispectrum (four-point function). Some have suggested that a comparison between the estimates for the values of fnl from the bispectrum and trispectrum allow a consistency test for the mod...

Several current ultra-wide band applications, such as millimeter wave radar and communication systems, require high sampling rates therefore expensive energy-hungry analogto-digital converters (ADCs). In applications where cost power constraints exist, the use of high-precision ADCs is not feasible designer must resort to with coarse quantization. Consequently interest in topic signal parameter...

The lower bound of Cramer and Rao is generalized to pairs of families of probability distributions, one of which is escort to the other. This bound is optimal for certain families, called φ-exponential in the paper. Their dual structure is explored.

The lower bound of Cramér and Rao is generalized to pairs of families of probability distributions, one of which is escort to the other. This bound is optimal for certain families, called φ-exponential in the paper. Their dual structure is explored. They satisfy a variational principle with respect to an appropriately chosen entropy functional, which is the dual of a free energy functional.

We apply a uniform Cramer-Rao (CR) bound [l] to study the bias-variance trade-offs in single photon emission computed tomography (SPECT) image reconstruction. The uniform CR bound is used to specify achievable and unachievable regions in the bias-variance trade-off plane. The image reconstruction algorithms considered in this paper are: 1) Space alternating generalized EM and 2) penalized weigh...

In this paper, we provide a generalization of the classical Rao bound for orthogonal arrays, which can be applied to ordered orthogonal arrays and (t; m; s)-nets. Application of our new bound leads to improvements in many parameter situations to the strongest bounds (i.e., necessary conditions) for existence of these objects.

We apply a uniform Cramer-Rao (CR) bound [l] to study the bias-variance trade-offs in parameter estimation. The uniform CR bound is used to specify achievable and unachievable regions in the bias-variance trade-off plane. The applications considered in this paper are: 1) twodimensional single photon emission computed tomography (SPECT) system, and 2) one dimensional edge localization.