Reconstruction Convergence of an Impulse-doublet Sampled Random Processes

Jim Schroeder, Muralidhar Rangaswamy, Robert F. Kubichek · 2018 52nd Asilomar Conference on Signals, Systems, and Computers · 2007

We show in this paper that first order aliased spectra, from sampling a band limited low pass random process at an average Nyquist rate, may be eliminated. Our approach is to use two arbitrarily closely spaced samples each sampling instant. A convergence proof is given for the random waveforms. Matlab simulations demonstrate reconstruction of a random waveform with low pass characteristics.

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