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Abstract

The details of digital representations of discrete-time signals are presented in this chapter bridging the gap from the abstract discrete-time signal notation presented in the book, x[n], and its representation in a digital processor, and more specifically a digital signal processor.

To bridge the gap from theory to practice one has to master the conventions used to represent the data.

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Notes

  1. 1.

    Continuous signals are referred in literature also as Analog signals. Both terms are used here interchangeably unless stated otherwise.

  2. 2.

    Webster Dictionary defines numeral as:

    Function: noun

    1: a conventional symbol that represents a number.

  3. 3.

    From Latin cuneus—wedge.

  4. 4.

    It was found in the memorial temple (or mortuary temple) of Pharaoh Ramesses II.

  5. 5.

    The signal was taken from the file: TEST/DR3/FPKT0/si1538.wav of the TIMIT corpus.

  6. 6.

    The word CODEC is derived from CODer-DECoder.

References

  • [Jayant1984] Jayant & Noll, “Digital Coding of Waveforms-Principles and Applications to Speech and Video”, Chapter 3, Sampling and Reconstruction of Bandlimited Waveforms, Prentice Hall, 1984

    Google Scholar 

  • [Oppenheim1999] Oppenheim, Schafer & Buck, “Discrete-Time Signal Processing“, Chapter 6, Overview of Finite -Precision Numerical Effects, Prentice-Hall, 1999

    Google Scholar 

  • [IngleProakis2007] Ingle & Proakis, “Digital Signal Processing using MATLAB”, Chapter 9, Finite Word-Length Effects, Thomson, 2007

    Google Scholar 

  • [Zolzer1998] Udo Zölzer, “Digital Audio Signal Processing, Chapter 2, Quantization, Wiley, 1998

    Google Scholar 

  • [ConwayGuy1999] J. H. Conway, R. K. Guy, “The Book of Numbers”, Copernicus an inprint of Springer Verlag, New York, 1999

    Google Scholar 

  • [Knuth1997] D. Knuth, “The Art of Computer Programming”, Volume 2, Seminumerical Algorithms, Third Edition, Addison-Wesley, 1997

    Google Scholar 

  • [Wiki2021] http://en.wikipedia.org/wiki/Real_number

  • [Kondoz2004] Kondoz, “Digital Speech, Coding for Low Bit Rate Communication Systems, Wiley, 2004

    Google Scholar 

  • [Jensen2005] Jensen, Batina, Hendriks & Heusdens, “A Study of the Distribution of Time-Domain Speech Samples and Discrete Fourier Coefficients”, Proceedings of SPS-DARTS, 2005

    Google Scholar 

  • [Quartieri2002] Quartieri, “Discrete-Time Speech Signal Processing: Principles and Practice, Prentice-Hall, 2002

    Google Scholar 

  • [KuoGan2005] Kuo & Gan, “Digital Signal Processors-Architectures, Implementations, and Applications”, Chapter 3, Implementation Considerations, Prentice-Hall, 2005

    Google Scholar 

  • [VisualDSP++] VisualDSP++ C/C++ Compiler and Library Manual for Blackfin Processors, Analog Devices, Inc. One Technology Way Norwood, Mass. 02062-9106, www.analog.com

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Richter, M.M., Paul, S., Këpuska, V., Silaghi, M. (2022). Digital Signal Representation. In: Signal Processing and Machine Learning with Applications. Springer, Cham. https://doi.org/10.1007/978-3-319-45372-9_1

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  • DOI: https://doi.org/10.1007/978-3-319-45372-9_1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-45371-2

  • Online ISBN: 978-3-319-45372-9

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