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Chapter 19

z-Transform

Chapter 19

z-Transform

The z-transform is a fundamental tool used in analyzing discrete-time systems,  serving as the discrete-time counterpart of the Laplace transform. It …
The z-transform converges only for certain values of z. This range of values is known as the Region of Convergence (ROC), which is essential for …
Certain properties provide a solid foundation for analyzing discrete-time systems using the Z-transform. Considering two discrete-time signals, the …
The property of Accumulation is derived by expressing the accumulated sum and applying the time-shifting property to solve for the Z-transform. It states …
The inverse Z-transform is an essential tool used for converting a function from its frequency domain representation back to the time domain. Consider the …
Most practical discrete-time systems can be represented by linear difference equations, making the z-transform a particularly useful tool. Knowing the …
The Discrete Fourier Transform (DFT) analyzes the frequency content of discrete-time signals. It maps the N-sampled discrete time-domain sequence to its …