Title
Distributed Signal Processing via Chebyshev Polynomial Approximation
Abstract
Unions of graph multiplier operators are an important class of linear operators for processing signals defined on graphs. We present a novel method to efficiently distribute the application of these operators. The proposed method features approximations of the graph multipliers by shifted Chebyshev polynomials, whose recurrence relations make them readily amenable to distributed computation. We demonstrate how the proposed method can be applied to distributed processing tasks such as smoothing, denoising, inverse filtering, and semi-supervised classification, and show that the communication requirements of the method scale gracefully with the size of the network.
Year
Venue
Field
2011
IEEE Trans. Signal and Information Processing over Networks
Chebyshev polynomials,Signal processing,Mathematical optimization,Recurrence relation,Computer science,Algorithm,Filter (signal processing),Multiplier (economics),Smoothing,Operator (computer programming),Computation,Distributed computing
DocType
Volume
Issue
Journal
abs/1111.5239
4
Citations 
PageRank 
References 
10
0.83
17
Authors
3
Name
Order
Citations
PageRank
David I. Shuman147222.38
Pierre Vandergheynst23576208.25
Pascal Frossard33015230.41