While the Fourier transform gets all the attention, there are other transforms that engineers and mathematicians use to transform signals from one form to another. Sometimes you use a transform to ...

In the world of quantum computing, the Hilbert space dimension—the measure of the number of quantum states that a quantum computer can access—is a prized possession. Having a larger Hilbert ...

Hilbert transforms (HT) and analytic signals. Bilateral Laplace transforms (LT): convergence properties. Contour integration methods applied to FT, HT and LT. Discrete-time Fourier series and Fourier ...

Introduces methods of complex variables, contour integration, and theory of residues. Applications include solving partial differential equations by transform methods, Fourier and Laplace transforms, ...

Hilbert Transform: An integral transform that extracts the harmonic conjugate of a function, crucial for obtaining its analytic representation and for signal processing applications. Fourier ...

Publications of the Astronomical Society of the Pacific, Vol. 110, No. 752 (October 1998), pp. 1205-1215 (11 pages) ABSTRACT We describe a concept for an imaging spectrograph for a large orbiting ...