Robust strong lensing time delay estimation

Delay-Dependent Robust Asymptotically Stable for Linear Time Variant Systems

In this paper, the problem of delay dependent robust asymptotically stable for uncertain linear time-variant system with multiple delays is investigated. A new delay-dependent stability sufficient condition is given by using the Lyapunov method, linear matrix inequality (LMI), parameterized first-order model transformation technique and transformation of the interval uncertainty in to the norm ...

Strong Gravitational Lensing Time Delay Statistics and the Density Profile of Dark Halos

The distribution of differential time delays ∆t between images produced by strong gravitational lensing contains information on the mass distributions in the lensing objects as well as on cosmological parameters such as H0. We derive an explicit expression for the conditional probability distribution function of time delays P (∆t | θ), given an image separation between multiple images θ, and re...

Strong lensing time delay: a new way of measuring cosmic shear

The phenomenon of cosmic shear, or distortion of images of distant sources unaccompanied by magnification, is an effective way of probing the content and state of the foreground Universe, because light rays do not have to pass through matter clumps in order to be sheared. It is shown that the delay in the arrival times between two simultaneously emitted photons that appear to be arriving from a...

Time-Delay Selection for Robust Angle of Arrival Estimation

Robust Time-delay Estimation in Highly Adverse Acoustic Environments

This paper describes an algorithm for robust time-delay estimation (TDE) in situations where a large amount of additive noise and reverberation is present. In [1] an adaptive eigenvalue decomposition algorithm has been developed for TDE between two microphones in highly reverberant acoustic environments. In this paper we extend this algorithm to highly noisy and reverberant environments, by usi...