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Sample Partial Autocorrelation Function
IEEE Transactions on Signal Processing, 1993A new estimation procedure for a partial autocorrelation coefficient of a stationary time series based on a natural geometrical analysis of the sample data is proposed. A method for autoregressive parameter estimation, which is midway between the constrained least squares procedure of Burg and the unconstrained one given by the for- ward-backward least
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On the Autocorrelation Functions of Right Cylindrical Particles
Acta Crystallographica Section A: Foundations and Advances, 2003The autocorrelation function of a finite particle with the shape of a right cylinder is determined by the autocorrelation function of the particle right section, whatever the latter's shape, and by the cylinder height. In fact, the first function is an integral transform of the second with a simple kernel depending on the cylinder height. This integral
S Ciccariello
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Use of the autocorrelation function in the classification of switching functions
Proceedings Euromicro Symposium on Digital System Design. Architectures, Methods and Tools, 2003Four operations on switching functions are used to define a classification technique based on the autocorrelation function. The relationship between these classes and the well-known spectral classes is investigated, and a canonical representative for each class is proposed.
Jacqueline E. Rice, Jon C. Muzio
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Generalization of the autocorrelation function
SPIE Proceedings, 1998We generalize the concept of the autocorrelation function to arbitrary physical variables and show how it can be used to define a local autocorrelation function. Using the local autocorrelation function we develop a new method to generate densities for arbitrary physical quantities. In addition, we show that the generalized autocorrelation function can
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The autocorrelation distribution of balanced Boolean function
Frontiers of Computer Science, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu Zhou 0012 +4 more
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The Velocity Autocorrelation Function
2020We calculate the autocorrelation function of the velocity of a tagged particle in a state of thermal equilibrium. This function quantifies the manner in which the memory in the velocity decays as a function of time. It is shown that the velocity autocorrelation function is a decaying exponential function of t. The correlation time of the velocity turns
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Behavior of Autocorrelation Functions
Physical Review A, 1972This paper is concerned with the behavior of the autocorrelation and memory functions of statistical mechanics as $t\ensuremath{\rightarrow}\ensuremath{\infty}$. A simple calculation shows that for a large class of models leading to power-law behavior, the two functions have opposite sign and common functional behavior in the limit $t\ensuremath ...
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Autocorrelation functions and double difference sequences
2010 International Symposium On Information Theory & Its Applications, 2010The double difference sequences of the mod-H codeword sequences are introduced as convenient tools for analysis related to aperiodic autocorrelation functions (AACF) of H-PSK sequences. Each double difference sequence, together with its reverse and complement, are related to a collection of PSK sequences whose AACF's differ by linear phase or conjugate
Ying Li, Yi-Chan Kao, Mei-Wen Chang
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A note on single-channel autocorrelation functions
Mathematical Biosciences, 1989It is shown for time-reversible ion channel gating mechanisms that the sojourn time autocorrelation functions are necessarily nonnegative, decreasing, and convex. It is also shown, again for time-reversible mechanisms, that the lagged moments of all orders are determined by the first three moments.
Ball, Frank G., Rice, John A.
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Autocorrelation Functions in Geology
1970By using a method originally developed by P. Whittle, it is shown that a continuous random variable in three-dimensional space has an exponential autocorrelation function if it is subject to a property analogous to the Markov property in time-series analysis.
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