![]() One of the key benefits of the Z-transform is that it allows us to analyze the behavior of discrete-time systems in the frequency domain, using techniques that are similar to those used to analyze continuous-time systems in the frequency domain using the Laplace transform. It can also be used to find the transfer function of a discrete-time system, which describes how the system responds to different input signals. The Z-transform has a number of useful properties, including linearity, time shifting, and frequency shifting. It is a powerful tool for understanding the behavior of such systems, and it has numerous applications in engineering, including in the fields of electrical engineering, control engineering, and digital signal processing. The Z-transform is a mathematical tool used to analyze discrete-time signals and systems. ![]() ![]() Where z is a complex variable and the sum is taken over all possible values of n.
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