Coordinate-free quantification of coverage in dynamic sensor networks

نویسندگان

  • Jennifer Gamble
  • Harish Chintakunta
  • Hamid Krim
چکیده

We present a novel set of methods for analyzing coverage properties in dynamic sensor networks. The dynamic sensor network under consideration is studied through a series of snapshots, and is represented by a sequence of simplicial complexes, built from the communication graph at each time point. A method from computational topology called zigzag persistent homology takes this sequence of simplicial complexes as input, and returns a ‘barcode’ containing the birth and death times of homological features in this sequence. We derive useful statistics from this output for analyzing time-varying coverage properties. Further, we propose a method which returns specific representative cycles for these homological features, at each point along the birth-death intervals. These representative cycles are then used to track coverage holes in the network, and obtain size estimates for individual holes at each time point. A weighted barcode, incorporating the size information, is then used as a visual and quantitative descriptor of the dynamic network coverage.

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عنوان ژورنال:
  • Signal Processing

دوره 114  شماره 

صفحات  -

تاریخ انتشار 2015