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Automated Electronic Filter Design

Automated Electronic Filter Design

Amal Banerjee

Automated Electronic Filter Design

Amal Banerjee Analog Electronics Kolkata, India

ISBN 978-3-319-43469-8 ISBN 978-3-319-43470-4 DOI 10.1007/978-3-319-43470-4

(eBook)

Library of Congress Control Number: 2016949738 © Springer International Publishing Switzerland 2017 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG Switzerland

This book is dedicated to: Late Sivadas Banerjee Meera Banerjee Anuradha Datta A dear friend, mentor and guide Dr. Andreas Gerstlauer The two amazing physicists who taught me the basics of radio frequency: Dr. C. Fred Moore Dr. M.E.L. Oakes

Contents

1

Introduction and Problem Statement . . . . . . . . . . . . . . . . . . . . . . . . . References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

1 3

2

Automated Electronic Filter Design Scheme . . . . . . . . . . . . . . . . . . . 2.1 The Framework . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.2 Normalized Butterworth Filter . . . . . . . . . . . . . . . . . . . . . . . . . . 2.3 Practical Normalized Low Pass Butterworth Filter . . . . . . . . . . . 2.4 Normalized Chebyshev Low Pass Filter . . . . . . . . . . . . . . . . . . . 2.5 Normalized Inverse Chebyshev Filter . . . . . . . . . . . . . . . . . . . . 2.6 Normalized Bessel Filter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.7 Denormalizing Prototype Filters to Real-World Filters . . . . . . . . 2.7.1 Frequency Scaling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.7.2 Impedance Scaling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.8 Filter Transformations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.8.1 Low Pass to High Pass Filter . . . . . . . . . . . . . . . . . . . . . 2.8.2 L