Z-transformation

The Z-transformation is a mathematical technique used primarily in engineering and signal processing. It transforms discrete-time signals (data measured at specific intervals) into a different format that makes analysis easier, similar to how the Fourier transform processes continuous signals. By converting the time-based data into a complex frequency domain, engineers can more effectively analyze system behaviors, stability, and filter designs. This transformation is especially useful for designing and understanding digital systems like digital filters and control systems, enabling more precise and efficient problem-solving in various technological applications.