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G-Lets: A New Signal Processing Algorithm

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International Journal of Computer Applications
© 2012 by IJCA Journal
Volume 37 - Number 6
Year of Publication: 2012
Authors:
B.Rajathilagam
Murali Rangarajan
K.P.Soman
10.5120/4609-6591

B.Rajathilagam, Murali Rangarajan and K.P.Soman. Article: G-Lets: A New Signal Processing Algorithm. International Journal of Computer Applications 37(6):1-7, January 2012. Full text available. BibTeX

@article{key:article,
	author = {B.Rajathilagam and Murali Rangarajan and K.P.Soman},
	title = {Article: G-Lets: A New Signal Processing Algorithm},
	journal = {International Journal of Computer Applications},
	year = {2012},
	volume = {37},
	number = {6},
	pages = {1-7},
	month = {January},
	note = {Full text available}
}

Abstract

Different signal processing transforms provide us with unique decomposition capabilities. Instead of using specific transformation for every type of signal, we propose in this paper a novel way of signal processing using a group of transformations within the limits of Group theory. For different types of signal different transformation combinations can be chosen. It is found that it is possible to process a signal at multiresolution and extend it to perform edge detection, denoising, face recognition, etc by filtering the local features. For a finite signal there should be a natural existence of basis in it’s vector space. Without any approximation using Group theory it is seen that one can get close to this finite basis from different viewpoints. Dihedral groups have been demonstrated for this purpose.

References

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