The phase crossing statistics and random FM noise are studied for Nakagami-q fading channel model, in the presense of interference. A closed-form joint PDF of phase process and random FM noise is derived. Expression for the level crossing rate of the phase process when crossing arbitrary level of phase, is also obtained. All results are compared with the known results in special case of zero in...

Presented are measurements from the Las Campanas Redshift Survey (LCRS) of the galaxy-galaxy autocorrelation function in redshift-space, gg (s). For separations 2:0h ?1 Mpc < s < 16:4h ?1 Mpc, gg (s) can be approximated by a power law with slope = ?1:52 0:03 and correlation length s 0 = 6:28 0:27h ?1 Mpc. A zero-crossing occurs on scales of 30 ? 40h ?1 Mpc. On larger scales, gg (s) uctuates clo...

für Naturforschung in cooperation with the Max Planck Society for the Advancement of Science under a Creative Commons Attribution 4.0 International License. Dieses Werk wurde im Jahr 2013 vom Verlag Zeitschrift für Naturforschung in Zusammenarbeit mit der Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V. digitalisiert und unter folgender Lizenz veröffentlicht: Creative Commons Namen...

As part of the design studies for the ATLAS first-level calorimeter trigger, we have been investigating the process of bunchcrossing identification (BCID). Various digital BCID algorithms have been investigated using software simulation. Furthermore, a demonstrator system has been constructed which performs BCID on 36 channels of trigger data. The BCID algorithms are implemented in Field-Progra...

We investigate a two-level model with a large number of open decay channels in order to describe avoided level crossing statistics in open chaotic billiards. This model allows us to describe the fundamental changes in the probability distribution of the avoided level crossings compared with the closed case. Explicit expressions are derived for systems with preserved and broken time-reversal sym...

Traditional ADCs (Analog-to-Digital Converters) acquire samples at regular intervals TS at a sample rate fS=1/TS and needs to adhere to the Nyquist sampling theorem, i.e., fS>2 × fB, where fB is the signal’s bandwidth [1]. Due to the periodic nature of traditional ADCs, they are sometimes referred to as synchronous ADCs [2,3]. Synchronous ADCs are characterized by a periodicity in time and equi...

We study the level crossing of the fermion system described by the euclidean Dirac Hamiltonian in the valley background. One chiral fermion level is shown to cross twice the zero value in the case of well-separated instanton-antiinstanton background. Below a critical separation, however, level crossings are absent. The phenomenon can be interpreted as the transition to a gauge field configurati...

We discuss adiabatic quantum phenomena at a level crossing. Given a path in the parameter space which passes through a degeneracy point, we find a criterion which determines whether the adiabaticity condition can be satisfied. For paths that can be traversed adiabatically we also derive a differential equation which specifies the time dependence of the system parameters, for which transitions b...

Much use has been made of the techniques of supersymmetric quantum mechanics (SUSY QM) for studying bound-state problems characterized by a superpotential φ(x). Under the analytic continuation φ(x)→ iφ(x), a pair of superpartner bound-state problems is transformed into a two-state level-crossing problem in the continuum. The description of matter-enhanced neutrino flavor oscillations involves a...

The most popular method of drawing directed graphs is to place vertices on a set of horizontal or concentric levels, known as level drawings. Level drawings are well studied in Graph Drawing due to their strong application for the visualization of hierarchy in graphs. There are two drawing conventions: horizontal drawings use a set of parallel lines and radial drawings use a set of concentric c...