Training Set in a way that will permit the second one to construct the high frequency band that is missing in the scaled up input image.

Autocorrelation is the cross-correlation of a signal with itself. Informally, it is the similarity between observations as a function of the time separation between them. It is a mathematical tool for finding repeating patterns, such as the presence

Fuzzy sets theory and fuzzy logic provide the means for constructing fuzzy systems. Fuzzy sets were introduced by Professor L.A. Zadeh berekley university in 1965 (Zadeh, 1965). Fuzzy logic provides a simple way to arrive at a defi nite conc