autocorrelation function


Also found in: Dictionary, Medical, Financial, Acronyms.

autocorrelation function

(aw-toh-kor-ĕ-lay -shŏn) A mathematical function that for a real function f(t) is given by
(u )f(u –t )du

It describes, for example, the time or distance over which a signal is coherent. The cross-correlation function describes how two different signals compare as they are displaced relative to one another; for two real functions f(t) and g(t ), it is given by

(u )g(u –t )du

Collins Dictionary of Astronomy © Market House Books Ltd, 2006

autocorrelation function

[¦ȯd·ō‚kär·ə′lā·shən ‚fuŋk·shən]
(mathematics)
For a specified function f (t), the average value of the product f (t) f (t- τ), where τ is a time-delay parameter; more precisely, the limit as T approaches infinity of 1/(2 T) times the integral from -T to T of F (t) f (t- τ) dt.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
From the rough idea sketched in (1.7), it can be expected that we need some kind of smoothness assumptions on [PHI] (e.g., [PHI] has to be differentiable or at least Lipschitz continuous in order to allow the last step in (1.7))-this will turn out to appear in the form of a smoothness condition on the autocorrelation function in the vicinity of its maximum.
MODEL REDUCTION IN ATMOSPHERIC TOMOGRAPHY BY OPTIMAL GROUPING OF TURBULENT LAYERS
Figure 2 shows the intensity autocorrelation function and the [d.sup.app.sub.h] distribution obtained for the particles after redispersion in water.
Preparation and Application in Drug Storage and Delivery of Agarose Nanoparticles
Figure 3 shows the generation process of an unambiguous autocorrelation function for the BOC sequence.
A Detection Algorithm for the BOC Signal Based on Quadrature Channel Correlation
Cyclostationarity properties are investigated in terms of cyclic autocorrelation function (CAF) and spectral correlation density (SCD) function.
MEASUREMENT BASED INVESTIGATION OF CYCLOSTATIONARITY OF OFDMA SIGNALS
The autocorrelation function of a time series (ACF) is described as Eq.5 (Shumway and Stoffer, 2006).
FORECASTING THE PRODUCTION OF GROUNDNUT IN TURKEY USING ARIMA MODEL
--column 8 includes a name of the file with a stored autocorrelation function of standard binary sequence for a given transmission system (this function is used during the test of hypothesis with zero correlation coefficient between the bit autocorrelation function of the binary sequence analysed and standard bit autocorrelation function of binary sequence for the system with the name entered in column 1),
The Automatic Radio Transmission Systems Recognition
The autocorrelation function curves of the maintained component are shown in Figure 8.
Reconstructed Phase Space-Based Damage Detection Using a Single Sensor for Beam-Like Structure Subjected to a Moving Mass
(b) Autocorrelation Function (ACF) that captures common dependencies between frame sizes in VBR video.
Statistical Analysis of Video Frame Size Distribution Originating from Scalable Video Codec (SVC)
where F{.} is the Fourier Transform; a is the cyclic frequency and Cax (t) is the Cyclic Autocorrelation Function (CAF) of x, defined in Eq.
Metodo para sensado del espectro basado en separacion ciega de fuentes para ambientes de radio cognitiva

Encyclopedia browser ?
Full browser ?