Uncertainty Principles and Sampling Theorems

John F. Price
Additional contact information
John F. Price: University of New South Wales, School of Mathematics

A chapter in Fourier Techniques and Applications, 1985, pp 25-44 from Springer

Abstract: 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.)

Keywords: Uncertainty Principle; Sampling Theorem; Finite Energy; Local Uncertainty; Heisenberg Uncertainty Principle (search for similar items in EconPapers)
Date: 1985
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-2525-3_3

Ordering information: This item can be ordered from
http://www.springer.com/9781461325253

DOI: 10.1007/978-1-4613-2525-3_3

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().