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An explicit expression for the output frequency range of nonlinear systems for general inputs is derived. This reveals the relationship between the input and output frequency ranges of a nonlinear system and extends the well-known concept in linear systems where the output frequency range is exactly the same as that of the corresponding input. The new results provide an important and basic relationship that can be applied in nonlinear system frequency domain analysis and design.
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Lang et al. (1997) studied this question.
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