Signal, Image and Video Processing

, Volume 4, Issue 3, pp 377–379

Fractional Laplace transform

Original Paper

DOI: 10.1007/s11760-009-0127-2

Cite this article as:
Sharma, K.K. SIViP (2010) 4: 377. doi:10.1007/s11760-009-0127-2

Abstract

A new definition of the fractional Laplace transform is proposed as a special case of the complex linear canonical transform. The proposed fractional Laplace transform reduces to the conventional bilateral Laplace transform and the fractional Fourier transform exactly and hence is better suited for the definition of the fractional Laplace transform as compared to the other definitions proposed earlier in the literature. The advantage of the proposed transform as compared to the conventional Laplace transform lies in providing a free parameter which can be effectively exploited in the filtering and signal separation problems.

Keywords

Fractional Fourier transformFractional Laplace transformLinear canonical transform

Copyright information

© Springer-Verlag London Limited 2009

Authors and Affiliations

  1. 1.Department of Electronics and Communication EngineeringMalaviya National Institute of TechnologyJaipurIndia