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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.
The result of this summation is a function of a complex variable defined as: This is the forward Z-transform of the discrete signal : Inverse Z-Transform. Given the Z transform , the original time signal can be obtained by the inverse Z transform, which can be derived from the corresponding Fourier transform.