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This paper presents a new modification of the least-squares Prony's method with reduced sampling, which allows for a significant reduction in the number of the analysed signal samples collected per unit time. The specific combination of non-uniform sampling with Prony's method enables sampling of the analysed signals at virtually any average frequency, regardless of the Nyquist frequency, maintaining high accuracy in parameter estimation of sinusoidal signal components. This property allowsdoi:10.2478/mms-2014-0044 fatcat:4mx55rru2jd7znlgqrbgujr6ia