Fractional Laplace transform
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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.
KeywordsFractional Fourier transform Fractional Laplace transform Linear canonical transform
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