TY - GEN
T1 - The Dyadic Curvelet transform for multiscale topological complex networks
AU - Anaraki, Marjan Sedighi
AU - Hirota, Kaoru
AU - Nobuhara, Hajime
PY - 2006
Y1 - 2006
N2 - the Dyadic Curvelet transform (DClet), a newly proposed extended Curvelet transform to generate the multiscale non-redundant transformation, is proposed for understanding the topology of complex networks. Because of the essence of the DClet that decomposes an input into coefficients and investigates them individually in different levels, it is proposed for deriving topology of complex networks. The proposed construction behaves the same matter as human eyes, processing an object by filtering the input data into a number of bands and levels. It is tested on Telecommunication network of Iran as a real extremely complex network with 92 intercity switching nodes, 3600 transmission nodes with 706350 E1 traffic channels and 315525 transmission channels. It is shown the properties of small world and scale free phenomena in telecommunication network and it is represented how the properties of the intercity network can be derived from the DClet decomposition. The simulation results exhibit that the new approach can be considered as a simulation tool for successfully design of the network topology and establishing the necessary trunk group sizes.
AB - the Dyadic Curvelet transform (DClet), a newly proposed extended Curvelet transform to generate the multiscale non-redundant transformation, is proposed for understanding the topology of complex networks. Because of the essence of the DClet that decomposes an input into coefficients and investigates them individually in different levels, it is proposed for deriving topology of complex networks. The proposed construction behaves the same matter as human eyes, processing an object by filtering the input data into a number of bands and levels. It is tested on Telecommunication network of Iran as a real extremely complex network with 92 intercity switching nodes, 3600 transmission nodes with 706350 E1 traffic channels and 315525 transmission channels. It is shown the properties of small world and scale free phenomena in telecommunication network and it is represented how the properties of the intercity network can be derived from the DClet decomposition. The simulation results exhibit that the new approach can be considered as a simulation tool for successfully design of the network topology and establishing the necessary trunk group sizes.
KW - Complex network
KW - Curvelet
KW - Human visual system
KW - Intercity network
KW - Multiscale
UR - http://www.scopus.com/inward/record.url?scp=50249131387&partnerID=8YFLogxK
U2 - 10.1109/APCCAS.2006.342214
DO - 10.1109/APCCAS.2006.342214
M3 - Conference contribution
AN - SCOPUS:50249131387
SN - 1424403871
SN - 9781424403875
T3 - IEEE Asia-Pacific Conference on Circuits and Systems, Proceedings, APCCAS
SP - 932
EP - 935
BT - APCCAS 2006 - 2006 IEEE Asia Pacific Conference on Circuits and Systems
T2 - APCCAS 2006 - 2006 IEEE Asia Pacific Conference on Circuits and Systems
Y2 - 4 December 2006 through 6 December 2006
ER -