Digital transforms replace continuous time with a sample index.

Evidence

The continuous function of time f(t) is replaced by the discrete time sequence xn. ■ Continuous time t is replaced by a time index (or sample number) n that takes values 0, 1, 2, . — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 2790

Categorization

• DEFINE: Explains how the continuous Fourier transform becomes the discrete-time sequence xn in the DFT.