The problem of finding the shortest path between two points underlies the concept of distance. In the common understanding, the physical distance between two points is always regarded as a non-negative quantity. However, from a mathematical point of view, the shortest path problem can be defined and solved even when distances between points are negative. In this chapter we show that this model has an engineering application in the problem of synchronizing several electromagnetic signals received by a set of antennas. Solving this problem is fundamental in the design and implementation of digital television networks.

The Shortest Walk to Watch TV

ROSSI, FABRIZIO;SMRIGLIO, STEFANO
2013-01-01

Abstract

The problem of finding the shortest path between two points underlies the concept of distance. In the common understanding, the physical distance between two points is always regarded as a non-negative quantity. However, from a mathematical point of view, the shortest path problem can be defined and solved even when distances between points are negative. In this chapter we show that this model has an engineering application in the problem of synchronizing several electromagnetic signals received by a set of antennas. Solving this problem is fundamental in the design and implementation of digital television networks.
2013
978-3-642-39651-9
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/26562
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