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What is Understanding the Z-Transform in DSP about?

The z-Transform is a discrete-time signal counterpart to the Laplace transform and generalizes the Fourier Transform, defined as a sum of discrete signals multiplied by a complex variable z. It has a region of convergence (ROC) that determines the values of z for which the transform converges, with properties that vary based on the sequence type (finite, right-handed, left-handed, or two-sided). Stability and causality of systems can be analyzed through the ROC, which must include the unit circle for stabil

Author

Hendrik Djahi

Language

EN