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The Shortest Walk to Watch TV

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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.

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References

  1. AGCOM: Piano nazionale di assegnazione delle frequenze per la radiodiffusione televisiva. Autorità per le Garanzie nelle Comunicazioni (1998). http://www2.agcom.it/provv/pnf/target01.htm

  2. AGCOM: Il libro bianco sulla televisione digitale terrestre. Autorità per le Garanzie nelle Comunicazioni (2000). http://www2.agcom.it/provv/libro_b_00/librobianco00.htm

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  5. Rappaport, T.S.: Wireless Communications: Principles and Practice, 2nd edn. Prentice Hall, Upper Saddle River, New Jersey, USA (2002)

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Correspondence to Fabrizio Rossi .

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© 2013 Springer-Verlag Berlin Heidelberg

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Rossi, F., Sassano, A., Smriglio, S. (2013). The Shortest Walk to Watch TV. In: Ausiello, G., Petreschi, R. (eds) The Power of Algorithms. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39652-6_8

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  • DOI: https://doi.org/10.1007/978-3-642-39652-6_8

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-39651-9

  • Online ISBN: 978-3-642-39652-6

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