2020-03-262020-03-262014IEEE Transactions on Signal Processing; Vol. 62, Núm. 14; pp. 3695-37051053587Xhttps://hdl.handle.net/20.500.12585/9036Considering 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.Recurso electrónicoapplication/pdfenghttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/article10.1109/TSP.2014.2328977Fractional correlationFractional power spectrumRactional Fourier transformSampling theoremStochastic processesPower spectral densityRandom processesFractional correlationFractional Fourier transformsFractional powerFractional power spectral densityFractional samplingInterpolation formulasSampling theoremsStationary random signalDigital signal processinginfo:eu-repo/semantics/restrictedAccessAtribución-NoComercial 4.0 InternacionalUniversidad Tecnológica de BolívarRepositorio UTB56270896900833032830035094573000