Publication IEICE TRANSACTIONS on CommunicationsVol.E85-BNo.6pp.1209-1212 Publication Date: 2002/06/01 Online ISSN: DOI: Print ISSN: 0916-8516 Type of Manuscript: LETTER Category: Terrestrial Radio Communications Keyword: PCS, random walk, state space, mobility,
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Summary: The rapid growth of state space in a two-dimensional (2D) random walk model imposes heavy computational load on mobility analysis of personal communication services (PCS) networks. This letter presents a novel random walk model with a compact state space by exploiting the symmetry of cellular patterns in a K-layer cluster of cells. The size of the state space is reduced to (K+1)/2(K/2+1)+1, with an asymptotic compression ratio of 12.