Advertisement

Fourier Analysis for Continuous Time Processes

  • Suresh R. Devasahayam
Part of the Topics in Biomedical Engineering International Book Series book series (TOBE)

Abstract

Any periodic function with a frequency f 0 , i.e., period T 0= 1/f 0, not only repeats itself with period T 0 , but also in periods of 2T 0, 3T 0 , 4T 0, etc. Therefore, a set of periodic functions with frequencies F p , 2F p ,3F p , 4F p ,…kF p when combined (added) will be periodic with period T p =1/F p (which is the lowest common period). In other words periodic functions display the property that when a periodic function with a certain frequency (called fundamental frequency) is added to one or more of its harmonics (functions with frequencies that are multiples of the fundamental frequency) a new periodic function with exactly the same period as the fundamental is obtained.

Keywords

Transfer Function Impulse Response Periodic Function Phase Plot Bide Plot 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    A.V. Oppenheim, A.S. Willsky and I.T. Young, Signals and Systems, Prentice Hall, 1983.MATHGoogle Scholar
  2. 2.
    A.V. Oppenheim, A.S. Willsky and H.S. Nawab, Signals and Systems, Prentice Hall, 1997.Google Scholar
  3. 3.
    S. S. Soliman and M.D. Srinath, Continuous and Discrete Signals and Systems,Prentice Hall, 1990.Google Scholar

Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Suresh R. Devasahayam
    • 1
  1. 1.School of Biomedical EngineeringIndian Institute of TechnologyBombayIndia

Personalised recommendations