Abstract
Various approaches to solving the problem of filtration of a continuous periodic signal distorted by stationary additive non-correlated noise are considered. Particular attention is paid to the case where the known signal period is non-divisible by the signal sampling period.
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References
D. Jackson, Fourier Series and Orthogonal Polynomials (Dover Books on Mathematics, 1935).
V. M. Efimov, A. L. Reznik, and A. V. Torgov, “Sampling Functions in Nonuniform Sampling of a Periodic Signal,” Avtometriya 46(6), 16–31 (2010) [Optoelectron., Instrum. Data Process. 46 (6), 521–532 (2010)].
V. M. Efimov, “Limiting Capabilities of One Method of Statistical Processing of Measurement Results for a Stationary Random Process,” Avtometriya, No. 6, 112–115 (1965).
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Original Russian Text © V.M. Efimov, A.L. Reznik, Yu.V. Bondarenko, 2013, published in Avtometriya, 2013, Vol. 49, No. 2, pp. 3–11.
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Efimov, V.M., Reznik, A.L. & Bondarenko, Y.V. Minimization of the error of reconstruction of a continuous periodic signal with uniform sampling. Optoelectron.Instrument.Proc. 49, 107–114 (2013). https://doi.org/10.3103/S8756699013020015
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DOI: https://doi.org/10.3103/S8756699013020015