Z Transform and its Application – Analysis of the LTI Systems topics include: Z transforms and its properties, types of Z transforms which include rational, inverse and one sided Z transform and their analysis. The Z-transform converts a discrete-time signal, which is a sequence of real or complex numbers, into a complex valued frequency-domain (the z-domain or z-plane) representation. It can be considered a discrete-time equivalent of the Laplace transform (the s-domain or s-plane). Z transform is used for linear filtering. z transform is also used for finding Linear convolution,... Show more

Z Transform and its Application – Analysis of the LTI Systems topics include: Z transforms and its properties, types of Z transforms which include rational, inverse and one sided Z transform and their analysis.

The Z-transform converts a discrete-time signal, which is a sequence of real or complex numbers, into a complex valued frequency-domain (the z-domain or z-plane) representation. It can be considered a discrete-time equivalent of the Laplace transform (the s-domain or s-plane).

Z transform is used for linear filtering. z transform is also used for finding Linear convolution, cross-correlation and auto-correlations of sequences. 4. In z transform user can characterize LTI system (stable/unstable, causal/anti-causal) and its response to various signals by placements of pole and zero plot.

LTI systems are used to predict long-term behavior in a system. So, they are often used to model systems like power plants. Another important application of LTI systems is electrical circuits. These circuits, made up of inductors, transistors, and resistors, are the basis upon which modern technology is built.

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