Filtering is done digitally using a line of code for the discrete Fourier transform, which is much simpler than the analog process of using resistors, transistors, and inductors.

You probably have at least a nodding familiarity with the Fourier transform, a mathematical process for transforming a time-domain signal into a frequency domain signal. In particular, for computer… ...

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 ...