Critical wake vortex encounter scenarios

A simulation-based method was developed to investigate the severity of Wake Vortex Encounters (WVEs). This paper describes an important part of this method: the determination of worst-case WVE conditions, which is referred to as Worst-Case Search (WCS). The WCS results permit to reduce time and costs of WVE severity related piloted simulator tests and allow the comparison of the hazard that vortices of different generator aircraft exert on a follower aircraft.The WCS is based on a high fidelity, offline simulation of the follower aircraft that includes the interacting wake vortex, a hazard criterion that rates the severity of each WVE, and a pilot model. It can be formulated as an optimisation problem that is solved with the optimisation tool MOPS (Multi Objective Parameter Synthesis). MOPS varies the encounter geometry until the simulation yields maximum values of the WVE hazard criterion.Worst-case encounter conditions for different parameters were investigated and sensitivity studies performed. The influence of the height above ground, the core radius, and the models for the wake vortex velocity profiles on the severity of a WVE was examined. To show the capability of the method, a comparison of the severity of a WVE behind two different heavy transport aircraft for a 20 t aircraft was made. The WCS method demonstrated its applicability and delivered the worst-case encounter geometry.

Zusammenfassung

Zur Untersuchung der Heftigkeit von Wirbelschleppen wurde eine simulationsbasierte Methode entwickelt. Dieser Beitrag beschreibt einen wichtigen Bestandteil dieser Methode: die Bestimmung der ungünstigsten (worst case) Einflugbedingungen in die Wirbelschleppe. Die Kenntnis dieser Bedingungen gestattet eine Zeit- und Kostenreduzierung bei wirbelschleppenbezogenen Simulatorversuchen mit Piloten und ermöglicht gleichzeitig einen Vergleich der vom Wirbel ausgehgehenden Gefährdung für verschiedene Kombinationen voraus- und einfliegender Flugzeuge.Die Worst-Case-Bedingungen werden mit einer Offline-Simulation des Folgeflugzeugs bestimmt, die Modelle für die Wechselwirkung mit der Wirbelschleppe und für das Pilotenverhalten sowie Kriterien für die Gefährdung durch den Wirbel umfasst. Für die Steuerung der Simulation und die Worst-Case-Suche wird die Optimierungssoftware MOPS (Multi Objective Parameter Synthesis) verwendet. MOPS variiert die Geometrie des Wirbelschleppendurchflugs bis die Simulation die maximalen Kriterienwerte für die Gefährdung durch den Wirbel liefert.Die Worst-Case-Bedingungen wurden für unterschiedliche Parameter untersucht. Der Einfluss der Höhe über Grund, des Kernradius' und der unterschiedlichen Modelle für das Wirbelgeschwindigkeitsprofil auf die von den Wirbelschleppen ausgehenden Gefährdung wurde dabei ermittelt. Um die Leistungsfähigkeit der Methode zu demonstrieren, wurde die Gefährdung von Wirbelschleppen zweier generierender Flugzeuge (heavy class) auf ein nachfolgendes 20 t Transportflugzeug verglichen. Die Anwendbarkeit der Methode wurde bestätigt und die ungünstigsten Einflugbedingungen berechnet.     

S5 0716+714: GeV variability study

The GeV observations by Fermi-LAT give us the opportunity to characterize the high-energy emission (100 MeV–300 GeV) variability properties of the BL Lac object S5 0716+714. In this study, we performed flux and spectral analysis of more than 3 year long (August 2008 to April 2012) Fermi-LAT data of the source. During this period, the source exhibits two different modes of flux variability with characteristic timescales of ∼75 and ∼140 days, respectively. We also notice that the flux variations are characterized by a weak spectral hardening. The GeV spectrum of the source shows a clear deviation from a simple power law, and is better explained by a broken power law. Similar to other bright Fermi blazars, the break energy does not vary with the source flux during the different activity states. We discuss several possible scenarios to explain the observed spectral break.     

Transmit Beamforming for MIMO Radar Systems using Signal Cross-Correlation

Proposed next-generation radar systems will have multiple transmit apertures with complete flexibility in the choice of the signals transmitted at each aperture. Here we propose the use of multiple signals with arbitrary cross-correlation matrix R, and show that R can be chosen to achieve or approximate a desired spatial transmit beampattern. Two specific problems are addressed. The first is the constrained optimization problem of finding the value of R which causes the true transmit beampattern to be close in some sense to a desired beampattern. This is approached using convex optimization techniques. The second is the problem of designing multiple constant-modulus waveforms with given cross-correlation R. The use of coded binary phase shift keyed (BPSK) waveforms is considered. A method for finding the code sequences based on random signaling with a structured correlation matrix is proposed. It is also shown that by restricting the class of admissible waveforms one reduces the set of possible signal correlation matrices.     

A CFAR adaptive matched filter detector

An adaptive algorithm for radar target detection using an antenna array is proposed. The detector is derived in a manner similar to that of the generalized likelihood-ratio test (GLRT) but contains a simplified test statistic that is a limiting case of the GLRT detector. This simplified detector is analyzed for performance to signals on boresight, as well as when the signal direction is misaligned with the look direction     

Strapdown Matrix Orthogonalization: The Dual Iterative Algorithm

There exist several algorithms for the optimal orthogonalization of the Direction Cosine Matrix used in navigation, control and simulation One of these recursive algorithms is shown to be derived from a dual solution to the optimal orthogonalization problem. The duality of the algorithm is demonstrated and its convergence properties are investigated Quadratic convergence is proven and the condition for convergence is determined and illustrated with numerical examples.