Discrete Signal Theory
Eugen Georg Woschni · Handbook of Measuring System Design · 2005
Abstract Discrete signals are of paramount importance in measuring systems because they are the basis of digital systems. By means of sampling, instead of using an analog signal, a discrete signal appears, containing the whole information if the conditions of the sampling theorem are fulfilled. If this theorem is violated, aliasing errors arise in the signal processing after sampling. The infinite time functionx(t) has to be time limited by means of a truncation window leading to variation of the spectrum known as leakage distortion. On the basis of classical linear forms of the Fourier and Laplace transformations, the discrete signal analyses are handled using the Discrete Fourier transformation (DFT) and Z‐transformation method. Application of discrete signal processing is illustrated by mean‐value realization (integration) and prediction.