M. Bellanger et al., POLES AND ZEROS OF BANDPASS-FILTERS FOR HIGH-PERFORMANCE SIGMA-DELTA MODULATORS, International journal of circuit theory and applications, 23(5), 1995, pp. 473-483
High-performance bandpass sigma-delta modulators find applications in
digital mobile radio for accurate analogue-to-digital conversion in re
ceivers. An approach based on the positioning of the poles and zeros i
s proposed for the digital design of the high-order loop filters which
are required, Inverse notch filter sections are cascaded in a first s
tep and then poles and zeros are moved to meet the performance objecti
ves and achieve system stability. A distinct feature of the analysis a
nd design technique presented is that it takes stability into account
explicitly. Examples illustrate the practicality of the method as well
as the level of performance which can be achieved in theory. The inte
grated circuit realization still has to be investigated to confirm the
potential of the proposed design approach.