A property of random processes with unit multiplicity

Anthony Ephremides

Journal of Multivariate Analysis, 1977, vol. 7, issue 4, 525-534

Abstract: The class of random processes with spectral multiplicity equal to one is shown to be dinse in various broader classes of processes with finite energy under the norm of L2([Omega] - T; dp - dt). In some special cases constructive procedures for establishing the denseness are outlined. The application of this result to communication systems is then demonstrated.

Keywords: Multiplicity; sampling; denseness; mean; square; error; innovations; continuity; communication; systems; reconstruction; error (search for similar items in EconPapers)
Date: 1977
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