A study of pseudo-random sequences

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dc.contributor.advisor Tan, Z.C. en
dc.contributor.author Lo, S. Nian en
dc.date.accessioned 2007-08-21T04:09:42Z en
dc.date.available 2007-08-21T04:09:42Z en
dc.date.issued 1979 en
dc.identifier THESIS 79-169 en
dc.identifier.citation Thesis (PhD--Physics)--University of Auckland, 1979 en
dc.identifier.uri http://hdl.handle.net/2292/1493 en
dc.description Full text is available to authenticated members of The University of Auckland only. en
dc.description.abstract This thesis consists of two main sections: 1. Theoretical Chapter One provides an introduction which gives the historical background and motivation of the study of pseudo-random sequences, as well as their classifications and general properties. A Survey of existing classes of pseudo-random sequences, definitions, and their boundary conditions, is given in Chapter Two. Five important classes of pseudo-random sequences are studied in detail in Chapters Three to Six. Two classes of Barker Sequences which have been modified by the author are given in Chapter Three. The concept of the “cyclic circle” is introduced by the author to link all multi-level pseudo-random sequences, and is used to study the properties of such sequences in Chapter Four. An explanation of how M-sequences may be obtained from the difference set, and two original methods of designing M-sequence generators are described in Chapter Five. A simplified explanation by the author of the concept of projecting maximal length sequences from m-space into a binary plane to generate Planar sequences is given in Chapter Six. 2. Practical Chapter Seven discusses the design of sequential circuits. The concept of “structural matrix”, derived by the author, is defined and its application to the analysis, synthesis and simplification of synchronous sequential circuits is given. Chapter Eight discusses the design of high speed pseudo-random sequence generators. An original method of designing high-speed M-sequence generators, as well as a general algorithm for speeding up the generation of multi-level pseudo-random sequences are given. A selection of significant applications of pseudo-random sequences is discussed in Chapter Nine. The advantages of using pseudo-random sequences over conventional methods are described. en
dc.language.iso en en
dc.publisher ResearchSpace@Auckland en
dc.relation.ispartof PhD Thesis - University of Auckland en
dc.relation.isreferencedby UoA9921856514002091 en
dc.rights Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. en
dc.rights Restricted Item. Available to authenticated members of The University of Auckland. en
dc.rights.uri https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm en
dc.title A study of pseudo-random sequences en
dc.type Thesis en
thesis.degree.discipline Physics en
thesis.degree.grantor The University of Auckland en
thesis.degree.level Doctoral en
thesis.degree.name PhD en
dc.rights.holder Copyright: The author en

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