Signals & Systems Lab 8

Aim

To Learn The Z transform and use it in Matlab.

What is Z transform

The Z-transform is a mathematical tool used in signal processing and control theory to analyze discrete-time signals and systems. It transforms a discrete-time signal, which is a sequence of real or complex numbers, into a complex frequency domain representation. The Z-transform of a discrete-time signal $x[n]$ is defined as:

$X(z)={\sum }_{n=-\infty }^{\infty }x[n]z^{-n}$

where ( z ) is a complex number. This transformation is analogous to the Laplace transform for continuous-time signals. The Z-transform is particularly useful for solving difference equations and analyzing the stability and frequency response of discrete-time systems.

Finding Poles Stability

References

Information

• date: 2024.10.04
• time: 12:23