Abstract
In the previous chapter, we considered piecewise continuous functions with period 1 and showed that it is possible to represent such functions as an infinite superposition of exponentials e n (t) = e 2πint, n ∈ Z. Each such exponential has period 1/n and hence completes n cycles per unit length (which we can interpret as measuring time).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer Science+Business Media New York
About this chapter
Cite this chapter
Walnut, D.F. (2004). Signals and Systems. In: An Introduction to Wavelet Analysis. Applied and Numerical Harmonic Analysis. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0001-7_4
Download citation
DOI: https://doi.org/10.1007/978-1-4612-0001-7_4
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6567-2
Online ISBN: 978-1-4612-0001-7
eBook Packages: Springer Book Archive