Signals and Frequencies

  • John R. Pierce
  • Edward C. Posner
Part of the Applications of Communications Theory book series (ACTH)


So far we have considered some aspects of the transmission of sine waves and their admixture with noise. In actual communication systems, we transmit complicated signals. Before we proceed to consider the transmission of such signals, we need to know a little about the representation of complicated waveforms, and even of two-dimensional patterns, by sums of sine waves. Why sines and cosines? Because these functions are the stable or bounded solutions of the differential equations of linear circuit theory and electromagnetic wave propagation.


Fourier Transform Transfer Function Fourier Series Delta Function Time Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    Bose, Amor G., and Kenneth N. Stevens, Introductory Network Theory, Harper and Row, New York (1965).Google Scholar
  2. 2.
    Bracewell, Ron, The Fourier Transform and its Applications, McGraw-Hill, New York (1965).MATHGoogle Scholar
  3. 3.
    Papoulis, Athanasios, The Fourier Integral and its Applications McGraw-Hill, New York (1962).MATHGoogle Scholar
  4. 4.
    Flanagan, James, Speech Analysis, Synthesis and Perception, 2nd ed., Springer, Berlin (1972).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1980

Authors and Affiliations

  • John R. Pierce
    • 1
  • Edward C. Posner
    • 1
  1. 1.California Institute of TechnologyPasadenaUSA

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