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• W2122407821 abstract "Troublesome distortions often occur in communication systems. For a wide class of systems such distortions can be computed with the help of Volterra series. Results, both old and new, which will aid the reader in applying Volterra-series-type analyses to systems driven by sine waves or Gaussian noise are presented. The n-fold Fourier transform G <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>n</inf> of the nth Volterra kernel plays an important role in the analysis. Methods of computing G <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>n</inf> from the system equations are described and several special systems are considered. When the G <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>n</inf> are known, items of interest regarding the output can be obtained by substituting the G <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>n</inf> in general formulas derived from the Volterra series representation. These items include expressions for the output harmonics, when the input is the sum of two or three sine waves, and the power spectrum and various moments, when the input is Gaussian. Special attention is paid to the case in which the Volterra series consists of only the linear and quadratic terms." @default.
• W2122407821 created "2016-06-24" @default.
• W2122407821 creator A5060792296 @default.
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• W2122407821 date "1971-01-01" @default.
• W2122407821 modified "2023-10-14" @default.
• W2122407821 title "The output properties of Volterra systems (nonlinear systems with memory) driven by harmonic and Gaussian inputs" @default.
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• W2122407821 doi "https://doi.org/10.1109/proc.1971.8525" @default.
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