Models for generation 1/f noise

Simple analytically solvable models are proposed exhibiting 1/f spectrum in a wide range of frequency. The signals of the models consist of pulses (po int process), interevent times of which fluctuate about some average value, obeying an autoregressive process with very small damping. The power spect rum of the process can be expressed by the Hooge formula. The proposed mode ls reveal possible origin of 1/f noise, i.e., random increments of the time intervals between pulses or interevent time of the process (Brownian motio n in the time axis). (C) 2000 Elsevier Science Ltd. All rights reserved.