How accurately can deterministic modes be identified from a finite record of noisy data? In this paper we answer this question by computing the Cramer-Rao bound on the error covariance matrix of any unbiased estimator of mode parameters. The bound is computed for many of the standard parametric descriptions of a mode, including autoregressive and moving average parameters, poles and residues, a...

The information loss in deterministic, memoryless systems is investigated by evaluating the conditional entropy of the input random variable given the output random variable. It is shown that for a large class of systems the information loss is finite, even if the input has a continuous distribution. For systems with infinite information loss, a relative measure is defined and shown to be relat...

Ground motion estimation for a site (34.01 o N, 71.45 o E) located in the Peshawar in terms of Peak Ground Acceleration (PGA) values is conducted. It is carried out with deterministic seismic hazard analysis approach using faults sources within a radius of one hundred kilometers around site. The results of this study indicate that the Main Boundary Thrust located at a distance of twenty nine (2...

A method for the determination of all cycles of deterministic finite state automata is presented. Using a finite field description GF(2) these automata are shown to correspond to multilinear state equations. Basic results from feedback shift register theory are recalled and developed towards a complete analysis tool for affine-linear automata. The multilinear case is reduced to the affine-linea...