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A concrete example where violet noise naturally arises is in circuit systems. Consider the simple situation where a random voltage signal passes through a capacitor. Assuming the voltage fluctuations are described by a Gaussian process (white noise), the current will contain a term that is the time derivative of the Gaussian process. For a simple circuit system of a resistor, a capacitor, and a white voltage source connected in series, the equation for the current is nothing but Eq. 6. As we can see, the current itself is a stochastic process characteristic of green noise.
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A concrete example where violet noise naturally arises is in circuit systems. Consider the simple situation where a random voltage signal passes through a capacitor. Assuming the voltage fluctuations are described by a Gaussian process (white noise), the current will contain a term that is the time derivative of the Gaussian process. For a simple circuit system of a resistor, a capacitor, and a white voltage source connected in series, the equation for the current is nothing but Eq. 6. As we can see, the current itself is a stochastic process characteristic of green noise.
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