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Signals and Systems pp 271–312Cite as

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Discrete-Time Signals and Systems

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Abstract

Discrete-time signals are obtained by the sampling of continuous-time signals. Digital signal processing deals basically with discrete-time signals, which are processed by discrete-time systems. The characterization of discrete-time signals as well as discrete-time systems in time domain is required to understand the theory of digital signal processing. In this chapter, time-domain sampling and the fundamental concepts of discrete-time signals as well as discrete-time systems are considered. First, the sampling process of analog signals is described. Next, the basic sequences of discrete-time systems and their classification are emphasized. The input-output characterization of linear time-invariant (LTI) systems by means of convolution sum is described. Further, sampling of discrete-time signals is introduced. Finally, the state-space representation of discrete-time LTI systems is described.

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Further Reading

  1. Linden, D.A.A.: Discussion of sampling theorem. Proceedings of the IRE. 47, 1219–1226 (1959)

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  2. Proakis, J.G., Manolakis, D.G.: Digital Signal Processing Principles, Algorithms and Applications, 3rd edn. Prentice-Hall, India (2004)

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  3. Crochiere, R.E., Rabiner, L.R.: Multirate Digital Signal Processing. Prentice-Hall, Englewood Cliffs (1983)

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  4. Hsu, H.: Signals and Systems, Schaum’s Outlines, 2nd edn, Mc Graw Hill, New York (2011)

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  5. Mandal, M., Asif, A.: Continuous and Discrete Time Signals and Systems. Cambridge, UK; New York: Cambridge University Press, (2007)

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Authors and Affiliations

  1. Department of Electronics and Communication Engineering, Vasavi College of Engineering (Affiliated to Osmania University), Hyderabad, Telangana, India

    K. Deergha Rao

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  1. K. Deergha Rao
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Rao, K.D. (2018). Discrete-Time Signals and Systems. In: Signals and Systems. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-68675-2_6

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