Cramer-Rao type integral inequalities where developed for loss functions w(x) which are bounded below by functions of the type g(x) = c|x|l, l > 1. As applications, we obtain lower bounds of Hajek-LeCam type for locally asymptotic minimax error for such loss functions.

Time-frequency reassignment is a relatively old but under-explored method for time frequency analysis. This report reviews previous research on reassignment and relates it to instantaneous frequency in an explicit and novel way. New measures based on reassignment of the amplitude spectrum, as opposed to the traditional phase spectrum, are proposed and analysed. The statistical properties of rea...

An array of sensors is receiving radiation from a source of interest. The source and the array are in a oneor two-dimensional waveguide. The maximum-likelihood estimators of the coordinates of the source are analysed under the assumptions thatthe noise field is Gaussian. The Cramer-Rao lower bound is of the order of the number of modes which define the source excitation function. The results sh...

Accurate and robust quantification of in vivo magnetic resonance spectroscopy (MRS) data is essential to its application in research and medicine. The performance of existing analysis methods is problematic for in vivo studies where low signal-to-noise ratio, overlapping peaks and intense artefacts are endemic. Here, a new frequency-domain technique for MRS data analysis is introduced wherein t...

Wireless sensor networks deployed within metallic cavities are known to suffer from a very severe fading, even in strong line-of-sight propagation conditions. This behavior is well-captured by the Two-Wave with Diffuse Power (TWDP) fading distribution, which shows great fit to field measurements in such scenarios. In this paper, we address the joint estimation of the parameters K and Δ that cha...