Why Z-transform is considered as separate transform?

1. Why do we use z-transform instead of Laplace transform?
2. Why z-transform is called?
3. What is the difference between z-transform and Fourier transform?
4. Why z-transform better than fourier transform?

Why do we use z-transform instead of Laplace transform?

The Z-transform is used to analyse the discrete-time LTI (also called LSI - Linear Shift Invariant) systems. The Laplace transform is used to analyse the continuous-time LTI systems. The ZT converts the time-domain difference equations into the algebraic equations in z-domain.

Why z-transform is called?

The Z-transform (ZT) is a mathematical tool which is used to convert the difference equations in time domain into the algebraic equations in z-domain. The Z-transform is a very useful tool in the analysis of a linear shift invariant (LSI) system. An LSI discrete time system is represented by difference equations.

What is the difference between z-transform and Fourier transform?

Fourier transforms are for converting/representing a time-varying function in the frequency domain. Z-transforms are very similar to laplace but are discrete time-interval conversions, closer for digital implementations. They all appear the same because the methods used to convert are very similar. Save this answer.

Why z-transform better than fourier transform?

The z-transform, on the other hand, is especially suitable for dealing with discrete signals and systems. It offers a more compact and convenient notation than the discrete-time Fourier Transform.