The instantaneous response time of parametric optical nonlinearities enable real-time processing of, and interaction between, spatial and temporal optical waveforms. We review the various signal-processing alternatives based on threeand fourwave-mixing arrangements among spatial and temporal information carrying waveforms. The fast response time of the interaction permits information exchange b...

In this publication we present an extension of the Standard Model within the framework of Connes’ noncommutative geometry [1]. The model presented here is based on a minimal spectral triple [7] which contains the Standard Model particles, new vectorlike fermions and a new U(1) gauge subgroup. Additionally a new complex scalar field appears that couples to the right-handed neutrino, the new ferm...

A triple of spectra (r, r , r) is said to be admissible if there is a density operator ρ with (Spec ρ, Spec ρ, Spec ρ) = (r, r , r). How can we characterise such triples? It turns out that the admissible spectral triples correspond to Young diagrams (μ, ν, λ) with nonzero Kronecker coefficient gμνλ [4, 13]. This means that the irreducible representation Vλ is contained in the tensor product of ...

In this paper the spectral properties of Dirac operators Aη with electrostatic δ-shell interactions of constant strength η supported on compact smooth surfaces in R3 are studied. Making use of boundary triple techniques a Krein type resolvent formula and a Birman-Schwinger principle are obtained. With the help of these tools some spectral, scattering, and asymptotic properties of Aη are investi...

As a mathematical theory per se, noncommutative geometry (NCG) is by now well established. From the beginning, its progress has been crucially influenced by quantum physics: we briefly review this development in recent years. The Standard Model of fundamental interactions, with its central role for the Dirac operator, led to several formulations culminating in the concept of a real spectral tri...

A novel triple microphone array speech enhancement algorithm is developed based on closed form solutions to an approximate algebraic system of equations on noise directivity and speech spectral energy. The system is derived from the ensemble averaged spectral energy equations of a first order differential microphone array. For sufficiently small microphone spacing, closed form analytical soluti...

GB in graphics is both a way of specifying color and a way of viewing color. Graphics algorithms manipulate RGB colors, and the images produced by graphics algorithms are encoded as RGB pixels and displayed on devices that render these pixels by emitting RGB light. Colored images are also used to specify color in graphics. These images may be captured by cameras or scanners, interactively drawn...

In this project, we investigate the degree of interoperability among various fingerprint-matching algorithms using compressed enrollment (template) images compatible with ISO/IEC FCD 19794-3 [1]. The interoperability testing consists of three different fingerprint-matching algorithms: a pattern-based matching algorithm from Bioscrypt, and two minutiae-based matching algorithms from Innovatrics ...

Nuclear magnetic resonance (NMR) studies of larger proteins are hampered by difficulties in assigning NMR resonances. Human intervention is typically required to identify NMR signals in 3D spectra, and subsequent procedures depend on the accuracy of this so-called peak picking. We present a method that provides sequential connectivities through correlation maps constructed with covariance NMR, ...