The Australian Journal of Mathematical Analysis and Applications

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ISSN 1449-5910  


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Paper's Title:

A Review on Minimally Supported Frequency Wavelets


K Pallavi1, M C Lineesh1, A Noufal2

1Department of Mathematics,
National Institute of Technology Calicut,
Kerala 673601,

2Department of Mathematics,
Cochin University of Science and Technology,
Kerala 682022,


This paper provides a review on Minimally Supported Frequency (MSF) wavelets that includes the construction and characterization of MSF wavelets. The characterization of MSF wavelets induced from an MRA is discussed and the nature of the low-pass filter associated with it is explained. The concept of wavelet set and dimension function is introduced to study this class of wavelets. Along with MSF wavelets, s-elementary wavelets and unimodular wavelets are also considered due to the similarity in definitions. Examples and illustrations are provided for more clarity.

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