Questions tagged [non-linear]

105 questions
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Nonlinear time-invariant frequency doubler

Does there exist a causal nonlinear, time-invariant system that maps each input function $k \cdot\cos(fx)$ to $k \cdot\cos(2fx)$ for all choices of $k, f \in \Bbb R$? If so, can one represent this system via some sort of differential equation, or…
Mike Battaglia
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Nonlinear model identification

I need to build nonlinear model having recorded input/output data. The object is not simple and linear model will fail for sure. What other options exist besides Least Mean Squares? I need to identify dynamic system with one input. I’m provided…
yozzi
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What is meant by "Cubic Difference Frequency"?

The cubic difference frequency (or 3rd degree intermodulation product) is given by: $$D_3 = - 10\log\left(\frac{P_2\left(2 f_{1,2} - f_{2,1}\right)}{P_2\left(f_1,f_2\right)}\right)$$ where $P_2$ is the output power. As far as I understand, the 3rd…
user25356
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Computing the gains of a piecewise affine system

I have a piecewise affine (and memoryless) system, e.g., a response like the following one. I could manually find the gain in each region by applying a ramp signal. However, the system's input must be a sine wave. Is there any technique that could…
sundar
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Determining invertibility of a system

Given a system which is either non-linear and/or time variant, Is there any systematic way to determine if this system is invertible? For example how to determine invertibility of this system? $$\int_{-\infty}^\infty x(5\tau)d\tau$$
Sara
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