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| Z-Transform Properties |
In mathematics and signal processing, the Z-transform converts a discrete time-domain signal, which is a sequence of real or complex numbers, into a complex frequency-domain representation. It is like a discrete equivalent of the Laplace transform. This similarity is explored in the theory of time scale calculus. The Z-transform was introduced, under this name, by Ragazzini and Zadeh in 1952. The modified or advanced Z-transform was later developed by E. I. Jury, and presented in his book Sampled-Data Control Systems (John Wiley & Sons 1958). The idea contained within the Z-transform was previously known as the "generating function method". - Wikipedia
| ↔ |  where C is a closed contour that includes z=0 | | Signal | | z-Transform |  | ↔ |  |  | ↔ |  |  | ↔ |  |  | ↔ |  |  | ↔ |  |  | ↔ |  |  | ↔ |  |  | (convolution) |  |  | ↔ |  |  | ↔ |  |
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