Delta-Sigma modulator synthesis
Dept. of Automatic Control
Lund Institute of Technology
P.O. Box 118
SE-221 00 LUND, Sweden
1 DESCRIPTION OF THE PROBLEM
Delta-Sigma modulators are among the key components in modern electronics. Their main purpose is to provide cheap conversion from analog to digital signals. In the figure below, the analog signal r with values in the interval [-1, 1] is supposed to be approximated by the digital signal d that takes only two values, -1 and 1. One can not expect good approximation at all frequencies. Hence, the dynamic system D should be chosen to minimize the error f in a given frequency range
There is a rich literature on Delta-Sigma modulators. See [2, 1] and ...