Abstract
The DTFT may not exist for all sequences due to the convergence condition, whereas the z-transform exists for many sequences for which the DTFT does not exist. Also, the z-transform allows simple algebraic manipulations. As such, the z-transform has become a powerful tool in the analysis and design of digital systems. This chapter introduces the z-transform, its properties, the inverse z-transform, and methods for finding it. Also, in this chapter, the importance of the z-transform in the analysis of LTI systems is established.
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Reference
R.V. Churchill, J.W. Brown, in Introduction to Complex Variables and Applications, 5th edn. (McGraw-Hill, New York, NY, 1990)
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© 2018 Springer Nature Singapore Pte Ltd.
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Rao, K.D., Swamy, M.N.S. (2018). The z-Transform and Analysis of LTI Systems in the Transform Domain. In: Digital Signal Processing. Springer, Singapore. https://doi.org/10.1007/978-981-10-8081-4_3
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DOI: https://doi.org/10.1007/978-981-10-8081-4_3
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Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-8080-7
Online ISBN: 978-981-10-8081-4
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