• Understand and apply the continuous time Fourier transform, discrete time Fourier transform, Laplace transform, and z-Transform, to the analysis and description of LTI continuous and discrete-time ...

Convolution Quadrature: A numerical technique that discretises convolution integrals by utilising the Laplace transform, thus permitting stable and accurate time-stepping in wave propagation problems.

It introduces step and impulse functions and their responses in LTI circuits. It covers the solving of convolution integrals and differential equations, the transformation of signals to Fourier series ...

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 ...