Probably the most popular ITP systems these days are Isabelle [4a] and Coq [5]. Isabelle is a descendant of Edinburgh LCF. Its declarative extension Isabelle/Isar [4b] has been heavily influenced by Mizar. Coq can be viewed as a descendant of the Automath system in that both systems are based on the Curry-Howard correspondence [6] (a proof is a program, the formula it proves is a type for the p...

Centre for Clinical and Basic Research, Department of Medical Sciences, IRCCS San Raffaele Pisana, Rome, Italy; Cardiovascular and Cell Sciences Research Institute, St George’s University of London, UK; Lady Davis Carmel Medical Center, Ruth and Bruce Rappaport School of Medicine, Technion-Israel Institute of Technology, Tel Aviv, Israel; Oslo University Hospital Ullevål, and Institute of Clini...

A new method of phase error estimation that utilizes the weighted least-squares (WLS) algorithm is presented for synthetic aperture radar (SAR)/inverse SAR (ISAR) autofocus applications. The method does not require that the signal in each range bin be of a certain distribution model, and thus it is robust for many kinds of scene content. The most attractive attribute of the new method is that i...

In this paper, two novel speed compensation algorithms for ISAR imaging under a low signal-to-noise ratio (SNR) condition have been proposed, which are based on the cubic phase function (CPF) and the integrated cubic phase function (ICPF), respectively. These two algorithms can estimate the speed of the target from the wideband radar echo directly, which breaks the limitation of speed measuring...

A generalized ISAR approach to solve the SAR problem for ship target image reconstruction is considered. A new definition of three dimensional (3-D) SAR scenario is suggested. An analytical geometrical approach to define apparent Yaw, Pitch and Roll angle of the ship target at sea is implemented. The target is presented as an assembly of point scatterers. Mathematical expressions to calculate r...

Machine-checked proofs are becoming ever-larger, presenting an increasing maintenance challenge. Isabelle’s most popular language interface, Isar, is attractive for new users, and powerful in the hands of experts, but has previously lacked a means to write automated proof procedures. This can lead to more duplication in large proofs than is acceptable. In this paper we present Eisbach, a proof ...

With regard to inverse synthetic aperture radar (ISAR) imaging, traditional range-Doppler (RD) algorithm is inapplicable sparse aperture. Although compressive sensing (CS) can overcome this problem, the imaging resolution not high enough. When deep learning (DL) applied ISAR some problems may also occur, such as network complexity, selection of labels in training, influence noise and aperture, ...