Acquisition of Low Frequency Signals Immersed in Noise by Chaotic Sampling and FIR filters

Abstract

TCONICET Abstract -This paper presents a digital acquisition method for low simulations were made and typical examples are presented with frequency signals immersed in high frequency noise. The method the logistic map (with a non uniform IPDF) and three piecewise reduces the aliasing with no use of hardware aliasing filters. Several linear maps (with uniform IPDF): the Three Way Bernoulli Shift

Quantifiers for randomness of chaotic pseudo-random number generators

“…The invariant measure µ(x) gives the histogram of the time series and the ideal PRNG must have µ(x) = const. The mixing constant r mix gives the transient characteristic time [14,16,19,30,31] and its ideal value is r mix = 0. In many applications of PRNGs both the invariant measure and the mixing constant are relevant.…”

“…* CONICET; Electronic address: lucianadm55@hotmail.com † CONICET; Electronic address: larrondo@fi.mdp.edu.ar ‡ CONICET; Electronic address: plastino@fisica.unlp.edu.ar § CONICET; Electronic address: oarosso@fibertel.com.ar Reduction of electromagnetic interference is another important benefit of the spread spectrum effect [17,18]; 2) Consider a low frequency signal immersed in a high frequency digital noise. Sampling at time intervals defined by a random number sequence, the resultant signal becomes filtered without using any coil or capacitor that are expensive, specially in power systems [19].…”

“…Reduction of electromagnetic interference is another important benefit of the spread spectrum effect [17,18]; 2) Consider a low frequency signal immersed in a high frequency digital noise. Sampling at time intervals defined by a random number sequence, the resultant signal becomes filtered without using any coil or capacitor that are expensive, specially in power systems [19].…”