Look-Ahead Based Sigma-Delta Modulation

High resolution analog-to-digital conversion and digital-to-analog conversion is often realized with the use of a Sigma-Delta Modulator (SDM). The sigma-delta modulation process, although very non-linear when a 1-bit quantizer is used, is nowadays well un

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ANALOG CIRCUITS AND SIGNAL PROCESSING Series Editors: Mohammed Ismail. The Ohio State University Mohamad Sawan. École Polytechnique de Montréal

For other titles published in this series, go to www.springer.com/series/7381

Erwin Janssen  Arthur van Roermund

Look-Ahead Based Sigma-Delta Modulation

Erwin Janssen NXP Semiconductors, Central R&D Mixed Signal Circuits & Systems High Tech Campus, Building 32 Eindhoven 5656 AE The Netherlands [email protected]

Arthur van Roermund Electrical Engineering Mixed-signal Microelectronics Group Technical University Eindhoven Eindhoven 5600 MB The Netherlands [email protected]

Series Editors: Mohammed Ismail 205 Dreese Laboratory Department of Electrical Engineering The Ohio State University 2015 Neil Avenue Columbus, OH 43210 USA

Mohamad Sawan Electrical Engineering Department École Polytechnique de Montréal Montréal, QC Canada

ISBN 978-94-007-1386-4 e-ISBN 978-94-007-1387-1 DOI 10.1007/978-94-007-1387-1 Springer Dordrecht Heidelberg London New York Library of Congress Control Number: 2011926230 © Springer Science+Business Media B.V. 2011 No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Cover design: VTeX UAB, Lithuania Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)

Contents

1

Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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2

Basics of Sigma-Delta Modulation . . . . . . . . . 2.1 AD, DD, and DA Sigma-Delta Conversion . . . 2.1.1 AD Conversion . . . . . . . . . . . . . 2.1.2 DD Conversion . . . . . . . . . . . . . 2.1.3 DA Conversion . . . . . . . . . . . . . 2.2 Sigma-Delta Structures . . . . . . . . . . . . . 2.3 Linear Modeling of an SDM . . . . . . . . . . . 2.4 Sigma-Delta Modulator Performance Indicators 2.4.1 Generic Converter Performance . . . . . 2.4.2 SDM Specific Functional Performance . 2.4.3 SDM Specific Implementation Costs . . 2.4.4 Figure-of-Merit of an SDM . . . . . . .

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3

Transient SDM Performance . . . . . . . . . . . . 3.1 Measuring Signal Conversion Quality . . . . . . 3.1.1 Steady-State . . . . . . . . . . . . . . . 3.1.2 Non-steady-State . . . . . . . . . . . . . 3.2 Time Domain SINAD Measurement . . . . . . 3.3 Steady-State SINAD Measurement Analysis . . 3.3.1 Obtaining the Linearized STF . . . . . . 3.3.2 Time Domain SINAD Measurement . . 3.4 Non-steady-State SINAD Measurement Analysis 3.5 Conclusions . . . . . .