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General mechanism for the 1/f noise
Avinash Chand Yadav1, Ramakrishna Ramaswamy2, Deepak Dhar3
1Department of Physics and Astronomical Sciences, Central University of Jammu, Samba 181 143, India.
Abstract:
We consider the response of a memoryless nonlinear device that acts instantaneously, converting an input signal ξ(t) into an output η(t) at the same time t. For input Gaussian noise with power-spectrum 1/f^{α}, the nonlinearity can modify the spectral index of the output to give a spectrum that varies as 1/f^{α^{'}} with α^{'}≠α. We show that the value of α^{'} depends on the nonlinear transformation and can be tuned continuously. This provides a general mechanism for the ubiquitous 1/f noise found in nature.
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