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CORR
2010
Springer

Fishing in Poisson streams: focusing on the whales, ignoring the minnows

13 years 3 months ago
Fishing in Poisson streams: focusing on the whales, ignoring the minnows
This paper describes a low-complexity approach for reconstructing average packet arrival rates and instantaneous packet counts at a router in a communication network, where the arrivals of packets in each flow follow a Poisson process. Assuming that the rate vector of this Poisson process is sparse or approximately sparse, the goal is to maintain a compressed summary of the process sample paths using a small number of counters, such that at any time it is possible to reconstruct both the total number of packets in each flow and the underlying rate vector. We show that these tasks can be accomplished efficiently and accurately using compressed sensing with expander graphs. In particular, the compressive counts are a linear transformation of the underlying counting process by the adjacency matrix of an unbalanced expander. Such a matrix is binary and sparse, which allows for efficient incrementing when new packets arrive. We describe, analyze, and compare two methods that can be used to ...
Maxim Raginsky, Sina Jafarpour, Rebecca Willett, A
Added 09 Dec 2010
Updated 09 Dec 2010
Type Journal
Year 2010
Where CORR
Authors Maxim Raginsky, Sina Jafarpour, Rebecca Willett, A. Robert Calderbank
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