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G-Lets: A New Signal Processing Algorithm

Publication Type : Journal Article

Publisher : International Journal of Computer Applications

Source : International Journal of Computer Applications, Volume 37 , Issue 6, p.1-7 (2012)

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Keywords : GROUP theory, multiresolution analysis, Signal processing, transformation groups

Campus : Coimbatore

School : School of Engineering

Center : Computational Engineering and Networking

Department : Computer Science, Electronics and Communication, Chemical, Civil

Verified : No

Year : 2012

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.

Cite this Research Publication : Dr. Rajathilagam B., Dr. Murali Rangarajan, and Dr. Soman K. P., “G-Lets: A New Signal Processing Algorithm”, International Journal of Computer Applications, vol. 37 , no. 6, pp. 1-7, 2012.

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