* Autocorrelation is used to analyze Dynamic light scattering data, which notably enables to determine the particle size distributions of nanometer-sized particles or micelles suspended in a fluid.

* Autocorrelation in space rather than time, via the Patterson function, is used by X-ray diffractionists to help recover the " Fourier phase information " on atom positions not available through diffraction alone.

Autocorrelation is defined as the cross-correlation of the signal with itself over varying intervals of time or space.

Autocorrelation can be visualized on a data plot when a given observation is more likely to lie above a fitted line if adjacent observations also lie above the fitted regression line.

Autocorrelation is common in time series data where a data series may experience " inertia.

Autocorrelation of the signal can be analyzed in terms of the diffusion of the particles.

* Autocorrelation detects signal waveforms.

* Autocorrelation function, mathematical tool used frequently in signal processing

Autocorrelation of the errors, which themselves are unobserved, can generally be detected because it produces autocorrelation in the observable residuals.

Autocorrelation violates the ordinary least squares ( OLS ) assumption that the error terms are uncorrelated.

* Autocorrelation articles in Comp. DSP ( DSP usenet group ).

Autocorrelation may be the result of misspecification such as choosing the wrong functional form.

Autocorrelation methods need at least two pitch periods to detect pitch.

* Sieves for Low Autocorrelation Binary Sequences, IEEE Trans.

Autocorrelation analysis helps to identify the correct phase of the fitted model while the successive differencing transforms the stochastic drift component into white noise.

Convolution is similar to cross-correlation.

Similarly, the cross-correlation of and is given by:

This effect is the basis for the code division multiple access ( CDMA ) property of DSSS, which allows multiple transmitters to share the same channel within the limits of the cross-correlation properties of their PN sequences.

Pick two maximum length sequences of the same length such that their absolute cross-correlation is less than or equal to, where is the size of the LFSR used to generate the maximum length sequence ( Gold ' 67 ).

The highest absolute cross-correlation in this set of codes is for even and for odd.

Here, and the and are model parameters with usually set to zero, chosen so that there is no cross-correlation between the real and imaginary parts of:

When a mobile is " searching ", it is attempting to find pilot signals on the network by tuning to particular radio frequencies, and performing a cross-correlation across all possible PN phases.

More precisely, the spatial coherence is the cross-correlation between two points in a wave for all times.

A signature of the late-time ISW is a non-zero cross-correlation function between the galaxy density ( the number of galaxies per square degree ) and the temperature of the CMB, because superclusters gently heat photons, while supervoids gently cool them.

In signal processing, cross-correlation is a measure of similarity of two waveforms as a function of a time-lag applied to one of them.

For continuous functions, f and g, the cross-correlation is defined as:

Similarly, for discrete functions, the cross-correlation is defined as:

The cross-correlation is similar in nature to the convolution of two functions.

In an autocorrelation, which is the cross-correlation of a signal with itself, there will always be a peak at a lag of zero unless the signal is a trivial zero signal.

In probability theory and statistics, correlation is always used to include a standardising factor in such a way that correlations have values between − 1 and + 1, and the term cross-correlation is used for referring to the correlation corr ( X, Y ) between two random variables X and Y, while the " correlation " of a random vector X is considered to be the correlation matrix ( matrix of correlations ) between the scalar elements of X.

If and are two independent random variables with probability density functions f and g, respectively, then the probability density of the difference is formally given by the cross-correlation ( in the signal-processing sense ) ; however this terminology is not used in probability and statistics.

In econometrics, lagged cross-correlation is sometimes referred to as cross-autocorrelation

In addition to the authentication and acknowledgment procedures which precede and follow the sending of the go messages, again in special codes, each message also contains an `` internal authenticator '', another specific signal to convince the recipient that he is getting the real thing.

By this standard, it is determined that where two stations operating on the same frequency are involved, objectionable interference from station A exists at any point within the service area of station B where station A's signal is of an intensity one-twentieth or more of the strength of station B's signal at that point.

For this reason, the more uncertain skywave service was denominated `` secondary '' in our rules, as compared to the steadier, more reliable groundwave `` primary service '', and, for both skywave service and skywave interference, signal strength is expressed in terms of percentage of time a particular signal-intensity level is exceeded -- 50 percent of the time for skywave service, 10 percent of the time for skywave interference.

The design of a mechanical interlocking frame is much like a mechanical puzzle, but once understood, the principles can be applied to any track and signal arrangement.

If the lever is pulled to clear a signal or move a switch, the tappet moves a short distance lengthwise at the same time.

By this scheme, pulling one signal to clear locks all the other switch and signal levers in safe positions until the first signal is again restored to normal.

As an engineer approaches the plant the position of the home signal is seen in advance when he passes the `` distant '' signal located beyond the limits of the interlocking plant.

In some low-speed situations, the distant signal is fixed at caution.

The video signal is amplified and then switched, in synchronism with the three ultraviolet light sources which are sequenced by the rotating mirror so that during one-twentieth of a second only one wavelength, corresponding to red, green, or blue, is seen.

The electrical signal from the autocollimator is amplified and supplied to the Z-gyro torquer.

Essentially, the stator or reference portion of the pickoff is established with respect to the true heading direction, and the platform is turned either manually or automatically until the angular electrical pickoff signal is reduced to zero.

`` The pattern '', says Dr. Morton Schillinger, psychologist at New York's Lincoln Institute for Psychotherapy, `` is for the husband to hover about anxiously and eagerly, virtually trembling in his hope that she will flash him the signal that tonight is the night ''.

I said `` Darn it, that's the automatic signal that shows when the ignition key is on.

As soon as that one man is appointed by himself or the others or by a signal from Spencer, we are going to be rushed.