C. Halper et al., DIGITAL-TO-ANALOG CONVERSION BY PULSE-COUNT MODULATION METHODS, IEEE transactions on instrumentation and measurement, 45(4), 1996, pp. 805-814
Three low-cost digital-to-analog converters (DAC's) are described and
compared. These designs can easily be implemented in an integrated cir
cuit: the conventional pulse-width modulation (PWM) DAC, the new pulse
-count modulation (PCM) DAC and the first-order noise shaping (FONS) D
AC. All three methods control the ratio of the sum of all pulse durati
ons to the constant total period, As the pulse durations are integral
multiples of a unit pulse, all three can be classified as pulse-count
modulation methods. Block diagrams of all three DAC's consisting of a
simple digital circuit and a low-pass filter are presented. For a cons
tant digital input value the worst case ripple of the filter output is
used to calculate the cutoff frequency of the low-pass filter. Approx
imations for the 3 dB cutoff frequency of first-order, second-order an
d fourth-order Butterworth low-pass filters are given, The dynamic pro
perties are analyzed in the time domain (settling time) and in the fre
quency domain (unfiltered output spectrum of a full-scale sine wave in
put). The main influences on the static accuracy are analyzed, A case
study demonstrates the abilities of PCM and FONS.