Question

Define Z-Transform of the sequence (f(n))​

Answer 1

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2.1 z-Transforms and Inverse z-Transforms

Indeed, the z-transform of a sequence is the generating function of this sequence, where the independent variable z is replaced by its reciprocal 1/ z. The z-transformation or z-transform today is applied to model sample-data control systems or other discrete-data systems.

Answer 2

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the z-transform of a sequence is the generating function of this sequence, where the independent variable z is replaced by its reciprocal 1/ z. The z-transformation or z-transform today is applied to model sample-data control systems or other discrete-data systems.

more information

In discrete time systems the unit impulse is defined somewhat differently than in continuous time systems. The Z Transform is given by. From the definition of the impulse, every term of the summation is zero except when k=0. So. Note that this is the same as the Laplace Transform of a unit impulse in continuous time.