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Uncertainty Principles and Sampling Theorems

In: Fourier Techniques and Applications

Author

Listed:
  • John F. Price

    (University of New South Wales, School of Mathematics)

Abstract

In this lecture I will be dealing with two separate topics both of which are important for a wide range of applications of Fourier analysis. The first is that of uncertainty. Roughly speaking, it says that the more we concentrate a signal in time, the greater is its bandwidth, and vice versa. (The first explicit statement of this reciprocity is in the mathematics of the quantum mechanical uncertainty principle of Heisenberg, and so the name “uncertainty” is usually applied to all results of this nature.)

Suggested Citation

  • John F. Price, 1985. "Uncertainty Principles and Sampling Theorems," Springer Books, in: John F. Price (ed.), Fourier Techniques and Applications, pages 25-44, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-2525-3_3
    DOI: 10.1007/978-1-4613-2525-3_3
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