15.6. Z-Transform
Similar to Laplace Transform which used for analysis of continuous-time signals and LTI systems, z-transform is used for analysis of discrete-time signals and LTI systems.
The discrete-time Fourier Transform of discrete-time signals and LTI systems results in frequency domain representation. However, in many cases, convergence of discrete-time Fourier Transform does not exist thus frequency-domain characterization of such cases cannot be made. Hence, the complex sinusoidal representation provided by discrete-time Fourier Transform is generalized and is represented in terms of complex exponential signals, called z-transform.
Basically, z-transform is used to study the system characteristics and derivation of computational structures ...
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