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Abstract

The purpose of this chapter is twofold. First, it presents a review of the Fourier methods of representing signals. Second, it provides the foundation for a systematic transition from the Fourier representation of analog signals to that of digital signals.

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References

  1. Hancock, J. C.: An Introduction to the Principles of Communication Theory. New York: McGraw-Hill, 1961, Chap. 1.

    Google Scholar 

  2. Harman, W. N.: Principles of Statistical Theory of Communication. New York: McGraw-Hill, 1963, Chap. 1.

    MATH  Google Scholar 

  3. Guillemin, E. A.: The Mathematics of Circuit Analysis. New York: Wiley, 1949, Chap. VII.

    MATH  Google Scholar 

  4. Goldman, S.: Information Theory. lNew York: Prentice-Hall, 1953, Chap. 2.

    MATH  Google Scholar 

  5. Lee, Y. W.: Statistical Theory of Communication. New York: Wiley, 1961, Chap. 1.

    Google Scholar 

  6. Panter, P. F.: Modulation, Noise and Spectral Analysis. New York: McGraw-Hill, 1965, Chaps. 2 and 3.

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  7. Reza, F. M.: An Introduction to Information Theory. New York: McGraw-Hill, 1961, Chap. 9.

    Google Scholar 

  8. Shannon, C. E.: A Mathematical Theory of Communication. Bell System Tech. J. 27 (1948) 379–423.

    MathSciNet  MATH  Google Scholar 

  9. Robbins, W. P., and Fawcett, R. L.: A Classroom Demonstration of Correlation, Convolution and The Superposition Integral. IEEE Trans. Education E-16 (1973) 18–23.

    Article  Google Scholar 

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© 1975 Springer-Verlag Berlin · Heidelberg

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Ahmed, N., Rao, K.R. (1975). Fourier Representation of Signals. In: Orthogonal Transforms for Digital Signal Processing. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45450-9_2

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  • DOI: https://doi.org/10.1007/978-3-642-45450-9_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-45452-3

  • Online ISBN: 978-3-642-45450-9

  • eBook Packages: Springer Book Archive

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