Analysis and design of 1/f noise generator with logarithmic/antilogarithmic amplifiers

A switched capacitor (SC) circuit is presented for realizing a one-dimensional discrete map generating 1/f noise. An integrated circuit with logarithmic and antilogarithmic amplifiers is included in this SC circuit to realize a nonlinear term x/sup Z/. An indirect time series analysis method using the Perron-Frobenius operator is applied to this map to precisely analyze its statistics such as the invariant measure, the autocorrelation function, and the power spectrum.<
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