This function implements the Generalized Difference Technique [1]. Use as input data a 3D matrix created grouping NTIMES intensity matrices I(k) 1<=k<=NTIMES I(k)=DATA(:,:,k) $GD=\sum\limits_{k=1}^{NTIMES-1} \sum\limits_{l=1}^{NTIMES-k} |I(k)-I(k+l)|$ The function is normalized with the number of elements in the sum. $Y=\frac{GD}{\binom{NTIMES}{2}}$ Where $\binom{NTIMES}{2}$ is the binomial coefficient of NTIMES and 2. It is the number of combinations of NTIMES items taken 2 at a time. Thus Y matrix represents the expected value of absolute difference $|I(k1)-I(k2)|$ for any two different k1 and k2 values. $Y\approx E[|I(k1)-I(k2)|]$ Reference: [1] ARIZAGA, R. et al. Display of the local activity using dynamical speckle patterns. Optical Engineering, Redondo Beach, v. 41, n. 2, p. 287-294, June 2002. After starting the main routine just type the following command at the prompt: Y = gendiff(DATA); Input: DATA is the speckle data pack. Where DATA is a 3D matrix created grouping NTIMES intensity matrices with NLIN lines and NCOL columns. When N=size(DATA), then N(1,1) represents NLIN and N(1,2) represents NCOL and N(1,3) represents NTIMES. SHOW [Optional] If SHOW is equal to string 'off', then do not plot the result. Output: Y returns the Generalized Difference matrix. For help, bug reports and feature suggestions, please visit: http://nongnu.org/bsltl
Package: bsltl