Bandlimited Processes and Certain Nonlinear Transformations.
Abstract
The paper considers the problem of the uniqueness and invertibility of a certain class of nonlinear transformations acting on stochastic signals. The transformation consists of an instantaneous nonlinearity followed by a bandlimiting linear system and the input is a bandlimited process in the sense of Zakai. For Gaussian, possibly noisy, inputs and a large class of nonlinear systems it is shown that there is one to one correspondence between the input and the output. As an application some new results on the curve crossings of bandlimited Gaussian processes are derived. Furthermore the sample functions of the input process are reconstructed from, possibly noisy, observations of the output process for a specific class of nonlinearities followed by a variety of linear systems. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1974
- Accession Number
- AD0780585
Entities
People
- Elias Masry
- Stamatis Cambanis
Organizations
- University of North Carolina at Chapel Hill