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Torres R. Lizarazo Z. Torres E. 2020-03-26T16:32:49Z 2020-03-26T16:32:49Z 2014 IEEE Transactions on Signal Processing; Vol. 62, Núm. 14; pp. 3695-3705 1053587X https://hdl.handle.net/20.500.12585/9036 10.1109/TSP.2014.2328977 Universidad Tecnológica de Bolívar Repositorio UTB 56270896900 8330328300 35094573000 Considering that fractional correlation function and the fractional power spectral density, for -stationary random signals, form a fractional Fourier transform pair. We present an interpolation formula to estimate a random signal from a temporal random series, based on the fractional sampling theorem for -bandlimited random signals. Furthermore, by establishing the relationship between the sampling theorem and the von Neumann ergodic theorem, the estimation of the power spectral density of a random signal from one sample signal becomes a suitable approach. Thus, the validity of the sampling theorem for random signals is closely linked to an ergodic hypothesis in the mean sense. © 2014 IEEE. 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