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This module covers the Z-Transform, a key mathematical tool for analyzing discrete-time signals and systems. It details how the Z-Transform simplifies the analysis of difference equations and system behavior in the Z-domain, explaining concepts like the Region of Convergence (ROC), inverse Z-Transform, and various properties of the Z-Transform. The relationship between the Z-Transform, the system function, and the Discrete-Time Fourier Transform (DTFT) is also explored, highlighting their significance in signal processing and system analysis.