Modeling UpLink power control with outage probabilities
Kenneth L. Clarkson, K. Georg Hampel, et al.
VTC Spring 2007
We consider Steiner minimum trees (SMT) in the plane, where only orientations with angle iπ/σ, 0 ≤ i ≤; σ - 1 and σ an integer, are allowed. The orientations define a metric, called the orientation metric, λσ, in a natural way. In particular, λ2 metric is the rectilinear metric and the Euclidean metric can be regarded as λ∞ metric. In this paper, we provide a method to find an optimal λσ SMT for 3 or 4 points by analyzing the topology of λσ SMT's in great details. Utilizing these results and based on the idea of loop detection first proposed in Chao and Hsu, IEEE Trans. CAD, vol. 13, no. 3, pp. 303-309, 1994, we further develop an O(n2) time heuristic for the general λσ SMT problem, including the Euclidean metric. Experiments performed on publicly available benchmark data for 12 different metrics, plus the Euclidean metric, demonstrate the efficiency of our algorithms and the quality of our results.
Kenneth L. Clarkson, K. Georg Hampel, et al.
VTC Spring 2007
Hang-Yip Liu, Steffen Schulze, et al.
Proceedings of SPIE - The International Society for Optical Engineering
Corneliu Constantinescu
SPIE Optical Engineering + Applications 2009
Igor Devetak, Andreas Winter
ISIT 2003