The Joint Transform Correlator

A second method for performing optical correlation is the joint transform correlator (JTC) [31]. In this equipment there is only one SLM and the input and reference imag-... 

Optimization cf Hologram for Security Applications studies optical security systems for practical applications in authentication, such as in a card system. The advantages of the optical method in a security are the fast decoding of an encrypted image and the identification of it. Firstly, the authors study a common method of joint transform correlation for optical security systems and the optimization of binary holograms, and prove that the optimization of the hologram can be a powerful tool in the enhancement of system performance. An alternative method employs a phase-coding technique which enables easier realization of practical applications in optical security systems. 

Next, Ui and are transformed into standard normal random variables Z, and W and then the joint distribution of Z and W introduces the correlation through a bivariate normal distribution. 

If the pdf of k(T) has a normal distribution at each temperature, then the joint pdf of the transformed Arrhenius parameters is a multidimensional normal distribution (Nagy and Turanyi 2011) (some restrictions for the correlation of the k J) values also have to be fulfilled). The following equation defines the 3D normal distribution of Arrhenius parameters p = (a, n, e), parameterised using the expected value p and... 

Next, the number is selected such that a sufficient resolution of the modulating function f(t) can be expected. For the time series, shown In Fig.l, an interval length of 0.5 sec is chosen, I.e. N=25, M=30. Then, all distributions correlation coefficients P2jZj and correlations pyjyj = Cjj In the transformed jointly normal space can be established for the underlying stationary process X(t) = X(t)/f(t). 

Bone Joint Surg., 57A, 956—961, Gadaleta, S.J. et al. (1996) Fourier transform infrared spectroscopy of the solution-mediated conversion of amorphous calcium phosphate to hydroxyapatite new correlations between X-ray diffraction and infrared data. Calcif. Tissue Int., 58 (1), 9-16. 

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