We present analytical and experimental results demonstrating a conceptual break through on how to overcome the fundamental timefrequency bandwidth limit (or spectral superresolution) for a light pulse in traditional and heterodyne spectrometry. This can be achieved either by a de-convolution process suggested by analytical method or by heterodyne method, which we demonstrate.

We discuss foundation of quantum mechanics (interpretations, superposition, principle of complementarity, locality, hidden variables) and quantum information theory. keywords: Foundations, contextual probability, quantum information, quantum parallelism, nonlocality

High dimensional superposition models characterize observations using parameters which can be written as a sum of multiple component parameters, each with its own structure, e.g., sum of low rank and sparse matrices, sum of sparse and rotated sparse vectors, etc. In this paper, we consider general superposition models which allow sum of any number of component parameters, and each component str...

In this paper we develop some group theoretical methods which are shown to be very useful for a better understanding of the properties of the Riccati equation and we discuss some of its integrability conditions from a group theoretical perspective. The nonlinear superposition principle also arises in a simple way.

In the energy spectrum of an occlusion sequence, the distortion term has the same orientation as the velocity of the occluding signal. Recent works claimed that this oriented structure can be used to distinguish the occluding velocity from the occluded one. Here, we argue that the orientation structure of the distortion cannot always work as a reliable feature due to the rapidly decreasing ener...

We study the dynamics of systems with deterministic trajectories randomly forced by instantaneous discontinuous jumps occurring according to two different compound Poisson processes. One process, with constant frequency, causes instantaneous positive random increments, whereas the second process has a state-dependent frequency and describes negative jumps that force the system to restart from z...

The research in the paper puts forward a novel method for synthesizing conformal arrays and optimizing low cross-polarizations including the effects of elements mutual coupling and mounted platform. Starting from the far-field superposition principle, an efficient approach with active element pattern technique is proposed to calculate the far-field patterns. A coordinate transform is used to cr...

We introduce a kind of bilinear differential equations by generalizing Hirota bilinear operators, and explore when the linear superposition principle can apply to the resulting generalized bilinear differential equations. Together with an algorithm using weights, two examples of generalized bilinear differential equations are computed to shed light on the presented general scheme for constructi...