In this paper, we address the parameterization problem for traffic envelopes needed for deterministic traffic regulation and service guarantees. A parameterized function is a good “substitute” for a traffic envelope if (i) the substitute is not smaller than the envelope and (ii) no other functions not smaller than the envelope are smaller than the substitute. Analogous to the least square appro...

The performance of Orthogonal Frequency Division Multiple Access (OFDMA) system degrades significantly in doubly dispersive channels. This is due to the fact that exponential sub-carriers do not match the singular functions of this type of channels. To solve this problem, we develop a system whose sub-carriers are chirp functions. This is equivalent to exploiting Fractional Fourier Transform (F...

Bundle adjustment is a standard photogrammetric technique for optimizing the 3D reconstruction of a scene from multiple images. There is an inherent gauge (coordinate frame) ambiguity in 3D reconstruction that can seriously affect the convergence of bundle adjustment algorithms. We address this issue and show that a simple pre-conditioning step removes the effect of the choice of coordinate fra...

Various authors have presented the aberration function of an optical system as a power series expansion with respect to the ray coordinates in the exit pupil and the coordinates of the intersection point with the image field of the optical system. In practical applications, for reasons of efficiency and accuracy, an expansion with the aid of orthogonal polynomials is preferred for which, since ...

Measurement of closeness between homologous configurations is often of interest. For configurations that can be embedded onto the Euclidean space, we attempted to develop closeness coefficients between corresponding Euclidean coordinate matrices. A suitable closeness coefficient was required to satisfy the following five properties: 1) It must range between 0 and 1; 2) It must be invariant over...

This paper presents a novel approach for localising a GPS (Global Positioning System)-denied Unmanned Aerial Vehicle (UAV) with the aid of a GPS-equipped UAV in three-dimensional space. The GPS-equipped UAV makes discrete-time broadcasts of its global coordinates. The GPS-denied UAV receives the broadcast and in doing so takes a direction of arrival (DOA) measurement towards the origin of the b...