Abstract:
The study presented the importance of z- transformation in our daily lives and briefly explains the relationship between z- transform, Laplace transform and Fourier transform and their use in signal processing techniques for continuous and discrete functions. Also introduced mathematical descriptive for differential equation and difference equation. Finally, during this study, researcher were able to drive general rule for differentiation of z-transformation and generalize some z-transform properties, such as linearity properties of z- transformation for 𝑛 functions. This work does not go into Engineering applications.