Hartung-Gorre Verlag

Inh.: Dr. Renate Gorre

D-78465 Konstanz

Fon: +49 (0)7533 97227

Fax: +49 (0)7533 97228



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




















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.




Series / Reihe "Series in Signal and Information Processing" im Hartung-Gorre Verlag

Direkt bestellen bei / to order directly from

Hartung-Gorre Verlag / D-78465 Konstanz / Germany

Telefon: +49 (0) 7533 97227  Telefax: +49 (0) 7533 97228
http://www.hartung-gorre.de   eMail: verlag@hartung-gorre.de