
Building P, room P104, INRIA Saclay Parc Orsay Université SACLAY
PhD dissertation research of Silvija Kokalj-Filipovic focuses on applications of large deviation theory to the problems of data dissemination, storage and collection, and information recovery/decoding in wireless sensor networks. In this talk, we present the coding-theory aspect of this research through an analysis of the message-passing decoding of fountain codes which extends the concept of message passing algorithm by allowing so called doping of the decoder. The ergodicity of the Ideal Soliton degree distribution of code symbols allows for a tractable model of the density evolution and, in particular, an insightful analysis of the ripple process, resulting in a unified model for both classical and doping-enhanced decoding. For a given number of code symbols at the decoder, the random-walk-based analysis of this process furnishes the decoding delay model with a prediction on the number of required doped packets. As an application of the above decoding technique, the dissertation studies data collection in circular wireless networks where data storage is mechanized using distributed fountain coding techniques. The goal of the presented approach is to allow for a reduced-delay collection by a data collector who accesses the circular network at a random position and random time. The storage nodes within the transmission range of the network’s relays linearly combine and store overheard relay transmissions using random decentralized strategies. A data collector first collects a minimum set of coded packets from a subset of storage nodes in its proximity and, by using a message-passing decoder, attempts recovering all source packets from this set. Whenever the decoder stalls, a source packet which restarts decoding is polled/doped from its original source node. The collection delay can be evaluated using the techniques described above, based on the predicted number of required doped packets. Ideal Soliton distribution results in a collection delay which is convincingly smaller compared with other distributions or other collection techniques. Apart from this particular aspect I will also try to give a broader outlook of my research if time permits.
Fabrice Le Fessant