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Series in Signal and Information Processing, Vol. 33
edited by Hans-Andrea Loeliger
Hampus Malmberg
Control-Bounded Converters
1st Edition
2021. XXII, 232 pages. € 64,00.
ISBN 978-3-86628-697-9
Abstract
The need for
analog-to-digital (A/D) and digital-to-analog (D/A) conversion
is a ubiquitous
part of many of today’s practical applications. The
research fields of A/D
and D/A conversion are multi-disciplinary, involving
topics such as
discrete- and continuous-time signal processing, circuit
theory, and circuit
design. State-of-the-art achievements have refined the
practical aspects of
traditional converter architectures to a point where
performance is reaching
its physical limits and progress is stagnating.
In this thesis,
we present an alternative perspective of analog-to-digital
and
digital-to-analog conversion called control-bounded conversion. This
new perspective
utilizes standard circuit components to build up unconventional
circuit architectures
through a novel theoretical framework
between analog and
digital. Ultimately, this versatile design principle
allows less
constrained analog and digital circuit architectures at the
expense of a digital
post-processing step.
We demonstrate
the control-bounded conversion principle by a selection
of converter
examples. First we consider the chain-of-integrators and the
leapfrog
analog-to-digital converters, which emphasize the division of the
analog and digital
parts of a control-bounded analog-to-digital converter.
In particular,
these examples reveal the global nature of the analog design
task compared to
the local digital part, which can be decomposed into
independently operated,
sub-circuits.
Next, the
chain-of-oscillators analog-to-digital converter shows how the
control-bounded converter can
be adapted for the problem of converting
non-baseband signals as is
common in communication systems. Specifically,
the modulation
task (frequency shifting) is incorporated into the
digital part of the
circuit, removing the need for a pre-processing step
To suppress the
influence of circuit imperfections, we introduce the
Hadamard analog-to-digital converter that separates the
physical and the
logical signal
dimensions of a control-bounded converter. This separation
enables circuit
architectures where the sensitivity to component mismatch
and thermal noise
can be distributed equally throughout the circuit
architecture components,
thereby minimizing its impact on conversion
performance.
The overcomplete digital control shows how the digital part’s
complexity
can be increased,
resulting in better conversion performance, without
substantially increasing the
sensitivity to circuit imperfections. This idea
relates to using
higher-order quantization but partitions the analog part
of the circuit in
a novel way.
We demonstrate
that the control-bounded analog-to-digital conversion
concept can provide
improved conversion performance when converting
multiple signals
jointly as opposed to independent conversion.
Finally, we
show how the control-bounded conversion principle can be
adopted for
digital-to-analog conversion.
Keywords: Analog-to-digital
conversion; digital-to-analog conversion;
control-bounded conversion;
Delta-Sigma modulation; Gaussian message
passing; Wiener filter.
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