{"paper":{"title":"Analysis of Fluid Antenna Systems with Continuous Positioning and Spatial Correlation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"A level-crossing-rate framework supplies asymptotically exact approximations and tight bounds for the CDF of the supremum performance metric in fluid antenna systems with continuous positioning under spatial correlation.","cross_cats":[],"primary_cat":"eess.SP","authors_text":"Gayani Siriwardana, Himal A. Suraweera, Peter J. Smith, Rajitha Senanayake","submitted_at":"2026-05-16T10:26:23Z","abstract_excerpt":"We analyze multi-user fluid antenna systems with continuous positioning over a track of length L under a spatial correlation model, where exact performance distributions become analytically intractable. We develop a level-crossing-rate (LCR) framework that yields asymptotically exact approximations and tight bounds for the cumulative distribution function (cdf) of the optimized metric S* = sup_{0 <= l <= L}, where S(l) denotes the performance metric at antenna position l. For a single fluid antenna, we characterize the cdfs of signal-to-noise ratio (SNR), signal-to interference ratio (SIR) and"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We develop a level-crossing-rate (LCR) framework that yields asymptotically exact approximations and tight bounds for the cumulative distribution function (cdf) of the optimized metric S* = sup_{0 <= l <= L} S(l).","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The spatial correlation model renders exact performance distributions analytically intractable, so that the LCR framework supplies asymptotically exact approximations and tight bounds for the CDF of the supremum metric, including the case where array-element correlation and positional correlation are inherently 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