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Abstract

Continuous-time or analog signals are processed using analog devices such as amplifiers, filters, etc. It is impossible to process signals multiplexed from various sources using a single hardware system in the analog domain. On the other hand, digital signals can be processed using both special-purpose hardware and software systems. Worldwide use of Internet, mobile communications, etc. demands all kinds of data such as video, audio, graphics, etc. In order to receive this information on a single device, computer, for instance, it is impossible to use analog signals and techniques. In order to be able to design and implement digitally based systems, it is absolutely necessary to have an understanding of digital signals and systems. Digital signals are discrete in time and amplitude. However, we will assume discrete-time signals to have a continuum of amplitude in order to be able to analyze such signals and systems mathematically. In this chapter we will describe typical discrete-time signals mathematically and then use them to describe and analyze linear time-invariant discrete-time systems. To help the readers understand the mathematical details, we will work out examples followed by MATLAB-based examples. Since digital signals are obtained from analog sources, we will also discuss the conversion of continuous-time signals into digital signals using analog-to-digital converters (ADC).

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References

  1. McGillem CD, Cooper GR (1974) Continuous and discrete signal and system analysis. Holt, Rhinehart and Winston, New York

    Google Scholar 

  2. Mitra SK (2011) Digital signal processing: a computer-based approach, 4th edn. McGraw Hill, New York

    Google Scholar 

  3. Oppenheim AV, Schafer RW (1975) Digital signal processing. Prentice-Hall, Englewood Cliffs

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  4. Papamichalis P (1990) Digital signal processing applications with the TMS320 family: theory, algorithms, and implementations, vol 3. Texas Instruments, Dallas

    Google Scholar 

  5. Proakis JG, Manolakis DG (1996) Digital signal processing: principles, Algorithms and Applications, 3rd edn. Prentice-Hall, Upper Saddle River

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Thyagarajan, K.S. (2019). Discrete-Time Signals and Systems. In: Introduction to Digital Signal Processing Using MATLAB with Application to Digital Communications. Springer, Cham. https://doi.org/10.1007/978-3-319-76029-2_2

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  • DOI: https://doi.org/10.1007/978-3-319-76029-2_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-76028-5

  • Online ISBN: 978-3-319-76029-2

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