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Digital Signal Processing. The Z Transform has a strong relationship to the DTFT, and is incredibly useful in transforming, analyzing, and manipulating discrete calculus equations. The Z transform is named such because the letter 'z' (a lower-case Z) is used as the transformation variable.he Z transform is named such because the letter 'z' (a lower-case Z) is used as the transformation variable.
If the mean Î¼ is zero, the first factor is 1, and the Fourier transform is also a normal distribution on the frequency domain, with mean 0 and standard deviation 1/Ï. In particular, the standard normal distribution Ï (with Î¼=0 and Ï=1) is an eigenfunction of the Fourier transform.