An Alternative Approach to Inverse Z-Transform of Rational Functions
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866914830267449344 |
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| author | Vaez, MohammadJavad Hosseini, Alireza Jamshidi, Kamal |
| author_facet | Vaez, MohammadJavad Hosseini, Alireza Jamshidi, Kamal |
| contents | Our paper introduces a novel method for calculating the inverse $\mathcal{Z}$-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 $\mathcal{Z}$-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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_09808 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | An Alternative Approach to Inverse Z-Transform of Rational Functions Vaez, MohammadJavad Hosseini, Alireza Jamshidi, Kamal Optimization and Control 93-08, 93C55, 93C62, 94A12 Our paper introduces a novel method for calculating the inverse $\mathcal{Z}$-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 $\mathcal{Z}$-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. |
| title | An Alternative Approach to Inverse Z-Transform of Rational Functions |
| topic | Optimization and Control 93-08, 93C55, 93C62, 94A12 |
| url | https://arxiv.org/abs/2310.09808 |