Critical data length for period estimation

作者: Srikanth V. Tenneti , P. P. Vaidyanathan

DOI: 10.1109/ISCAS.2016.7527468

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摘要: We address the following question in this paper: Given that period of a discrete time periodic signal belongs to set Ρ = {Ρ1, Ρ2,…, Ρκ}, what is minimum duration necessary identify its period? It will be shown number samples both and sufficient: max Pi + Pj — gcd (Pi, Pj), where greatest common divisor, maximization over all pairs Pi, e P. Sufficiency via constructive proof, leading new estimation algorithm.1

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