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Recently a new framework has been proposed to construct complex network from time series based on phase-space reconstruction [Gao Z K and Jin N D.Physical Review E.2009.79: 066303: Gao Z K and Jin N D.CHAOS.2009, 19: 033137].In this paper, using the proposed network construction method, we first extract different types of Phase-Space Complex Networks (PSCN) from chaotic, periodic and white noise time series.