General models for 1/f noise

Roy M. Howard; Lahiru A. Raffel

doi:10.1117/12.490145

12 May 2003 General models for 1/f noise

Roy M. Howard, Lahiru A. Raffel

Proceedings Volume 5113, Noise in Devices and Circuits; (2003) https://doi.org/10.1117/12.490145
Event: SPIE's First International Symposium on Fluctuations and Noise, 2003, Santa Fe, New Mexico, United States

Abstract

Models for 1/f noise, based on power spectral density synthesis of the 1/f form, are demonstrated. These include, first, a finite summation of independent random processes which have equal power and signalling rates, or mean waveform rates, that form a geometric series with a ratio of two. Second, a continuum of independent random processes where the power in a given random process is inversely proportional to the signalling rate, or mean waveform rate, and these rates form a continuum. The random processes can be that of a filtered random walk, signalling random process, generalized signalling random process or a shot noise process. It is shown that the pulse function associated with these random processes is relatively unimportant. It is shown that low frequency modulation of signal components which fragment off a wide-bandwidth random process can lead to 1/f noise.

Citation Download Citation

Roy M. Howard and Lahiru A. Raffel "General models for 1/f noise", Proc. SPIE 5113, Noise in Devices and Circuits, (12 May 2003); https://doi.org/10.1117/12.490145

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