Inh.: Dr. Renate Gorre
Fon: +49 (0)7533 97227
Fax: +49 (0)7533 97228
Series in Signal and Information Processing, Vol. 33
edited by Hans-Andrea Loeliger
2021. XXII, 232 pages. € 64,00.
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
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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