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Generalization of the autocorrelation function

SPIE Proceedings, 1998
We 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, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu Zhou 0012   +4 more
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A note on single-channel autocorrelation functions

Mathematical Biosciences, 1989
It 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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Stress autocorrelation function in liquid rubidium

Physical Review A, 1988
A molecular-dynamics simulation of the stress autocorrelation function \ensuremath{\eta}(t) is reported for a dense-liquid-rubidium model. The data indicate a rapid decay of the correlation function for t\ensuremath{\lesssim}0.3 ps and a somewhat slower time dependence thereafter.
, Balucani, , Vallauri, , Gaskell
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The Velocity Autocorrelation Function

2020
We 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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Autocorrelation functions and double difference sequences

2010 International Symposium On Information Theory & Its Applications, 2010
The 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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Speech processing by splicing of autocorrelation function

ICASSP '76. IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005
A speech processing system named SPAC (SPlicing of AutoCorrelation function) is proposed in order to compress or expand the speech spectrum, to prolong or shorten the duration of utterance, and to reduce the noise level in speech signal. A period of short-time autocorrelation function is sampled and spliced after change of the time scale.
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Generalized autocorrelation functions

Annual Meeting Optical Society of America, 1988
The autocorrelation function (ACF) a, of a realvalued function f(x, y) (e.g., a monochromatic image) is ordinarily defined as Recently it has been proposed that in the study of spatial phase discrimination it might be useful to consider a generalized ACF.1 Suppose the nth order ACF of f is defined as Clearly af,1 (the ordinary ACF) fixes the power ...
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Direct computation of the dyadic autocorrelation function

Computers & Chemistry, 1976
Abstract An efficient method for computing the dyadic-time-shift invariant autocorrelation function is presented. The algorithm is based upon recognition of the symmetry properties of the ‘inflection types’ which occur in a mod 2 addition table.
E. F. Crawford, R. D. Larsen
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Finding Autocorrelation Functions

IEEE Transactions on Education, 1968
Finding autocorrelation functions for stochastic processes can be a complex and frustrating problem for the student. In this short paper we present a systematic approach to this problem that should reduce, or at least compartmentalize, this complexity.
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