Scrambling Techniques for Digital Transmission
Scramblers and shift register generators (SRG) have been used for decades in the shaping of digital transmission signals and in generating pseudo-random binary sequences for transmission applications. In recent years more attention has been paid to this a
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Series Editors Mario Gerla parallel Aurel Lazar sequence Paul generator Kuhn Hideaki Takagi
Figure 9.6. An SSRG-based minimal PSRG generating the 8-deci-
mated sequences Uj's in (9.2). This PSRG can be used as the PSRG for parallel scrambling the STM-1 or STS-1 signal. Inserting this into (7.45) along with (9.2b) and qim(x) = x7 + X + 1, we obtain the minimal PSRG with the state transition matrix T = A~7 +:1)+1 ' the initial state vector do = So, and the generating vectors
ho= hI = h2 = h3 = h4 = = hs= h7 = hs
[ 1 0 0 0 0 0 0 ]t, [ 0 0 1 0 1 0 0 ]t, [ 0 11 0 1 0 0 ]t, [ 0 11111 0 ]t,
[0100100]t, [ 0 111 0 11 ]t, [ 0 1 0 1 0 0 1]t,
(9.3)
[ 1 0 1 0 1 0 0 ]t.
The circuit diagram for this minimal PSRG is as shown in Fig. 9.6, which becomes an SSRG-based realization. This PSRG can be used as the PSRG in Fig. 9.5(b) for parallel scrambling the STM-1 or STS-1 signal. To get a simpler minimal PSRG, we choose another nonsingular ma-
Byeong Gi Lee
Seok Chang Kim
Scrambling Techniques for Digital Transmission
With 124 Illustrations
Springer-Verlag London Berlin Heidelberg New York Paris Tokyo Hong Kong Barcelona. Budapest
Byeong Gi Lee, BS, ME, PhD Seok Chang Kim, BS, ME, PhD Department of Electronics Engineering, Seoul National University, Seoul 151-742, Korea
Series Editors Mario Gerla Department of Computer Science University of California Los Angeles CA 90024, USA
Paul Kuhn Institute of Communications Switching and Data Technics University of Stuttgart D-70174 Stuttgart, Germany
Aurel Lazar Department of Electrical Engineering and Center for Telecommunications Research Columbia University New York, NY 10027, USA
Hideaki Takagi IBM Japan Ltd Tokyo Research Laboratory 5-19 Sanban-cho Chiyoda-ku, Tokyo 102, Japan
ISBN-13:978-1-4471-3233-2 e-ISBN-13:978-1-4471-3231-8 DOl: 10.1007/978-1-4471-3231-8 British Library Cataloguing in Publication Data A catalogue record for this book is available from the British Library Apart from any fair dealing for the purposes of research or private study, or criticism or review, as permitted under the Copyright, Designs and Patents Act 1988, this publication may only be reproduced, stored or transmitted, in any form or by any means, with the prior permission in writing of the publishers, or in the case of reprographic reproduction in accordance with the terms of licences issued by the Copyright Licensing Agency. Enquiries concerning reproduction outside those terms should be sent to the publishers. Springer-Verlag London Limited 1994 Softcover reprint of the hardcover 1st edition 1994
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Preface
Scramblers and the constituent shift register generators (SRG) have been used for decades in shaping the digital transmission signals or in generating pseudo-random binary
