Notes on Digital Signal Processing: Practical Recipes for Design, Analysis and Implementation

Note 11. Fourier Transform

Mathematically defined continuous-time signals having finite energy can be analyzed using the Fourier transform (FT), defined in Math Box 11.1. The FT can be expressed as a function of either cyclic frequency, f, or radian frequency, ω = 2πf. In some contexts, the Fourier transform is referred to as the continuous-time Fourier transform (CTFT) to emphasize the distinction between it and the discrete-time Fourier transform that is presented in Note 12.

Math Box 11.1. Fourier Transform

MB 11.1

MB 11.2

Inverse Transform ...