Papers › An Alternative Approach to Inverse Z-Transform of Rational Functions
An Alternative Approach to Inverse Z-Transform of Rational Functions
MohammadJavad Vaez, Alireza Hosseini, Kamal Jamshidi
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Our paper introduces a novel method for calculating the inverse 𝒵-transform of rational functions. Unlike some existing approaches that rely on partial fraction expansion and involve dividing by z, our method allows for the direct computation of the inverse 𝒵-transform without such division. Furthermore, our method expands the rational functions over real numbers instead of complex numbers. Hence, it doesn't need algebraic manipulations to obtain a real-valued answer. Furthermore, it aligns our method more closely with established techniques used in integral, Laplace, and Fourier transforms. In addition, it can lead to fewer calculations in some cases.
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