Wavelet Functions

Wavelet analysis started in the mid-eighties with the study of seismic signals and expanded later to many other signal processing applications like analysis of medical signals (electrocardiograms) and signal compression (Stark 2015).

The following are some wavelet function examples in time domain:

Haar Wavelet

(Stark 2005, p26)

Image with Haar Wavelet Function Image with a Graph of the Haar Wavelet Function

Mexican Hat Wavelet

(Stark 2005, p27)

Image with Mexican Hat Wavelet Function Image with a Graph of the Mexican Hat Wavelet Function

Morlet Wavelet

(Stark 2005, p28)

Image with Morlet Wavelet Function Image with a Graph of the Morlet Wavelet Function

Ricker Wavelet

(Wang 2015, p112)

Image with Ricker Wavelet Function Image with a Graph of the Ricker Wavelet Function

References

Hans-Georg Stark (2005). Wavelets and Signal Processing, An Application-Based Introduction. ©Springer-Verlag Berlin Heidelberg 2005.

Yanghua Wang (January 2015). The Ricker wavelet and the Lambert W function. Geophysical Journal International, Volume 200, Issue 1, January 2015, Pages 111–115. Published: November 3rd, 2014.