Distributed Wavelet Transform for Irregular Sensor Network Grids
RICE UNIV HOUSTON TX
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Wavelet-based distributed data processing holds much promise for sensor networks however, irregular sensor node placement precludes the direct application of standard wavelet techniques. In this paper, we develop a new distributed wavelet transform based on lifting that takes into account irregular sampling and provides a piecewise-planar multiresolution representation of the sensed data. We develop the transform theory outline how to implement it in a multi-hop, wireless sensor network and illustrate with several simulations. The new transform performs on par with conventional wavelet methods in a head-to-head comparison on a regular grid of sensor nodes.
- Numerical Mathematics