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Unified Signal Theory

  • Textbook
  • © 2011

Overview

Authors:
  1. Gianfranco Cariolaro

    1. University of Padova, Padova, Italy

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  • Unified approach to many classes of signal streamlines the process of learning and reduces the volume of repetitious material to be absorbed
  • End-of-chapter exercises and illustrative examples in the text allow students to study privately and test their learning progressively Downloadable pdf solutions manual saves the teacher time
  • Clear section labelling allows tutors to tailor material to advanced undergraduate or graduate levels of study
  • Includes supplementary material: sn.pub/extras

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Table of contents (17 chapters)

  1. Front Matter

    Pages I-XIX
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  2. Classic Theory

    1. Front Matter

      Pages 15-15
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  3. Introduction

    1. Introduction

      • Gianfranco Cariolaro
      Pages 1-14

  4. Classic Theory

    1. Front Matter

      Pages 15-15
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    2. Classical Signal Theory

      • Gianfranco Cariolaro
      Pages 17-79

  5. Unified Signal Theory

    1. Front Matter

      Pages 81-81
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    2. Unified Theory: Fundamentals

      • Gianfranco Cariolaro
      Pages 83-134

    3. Unified Theory: Signal Domain Analysis

      • Gianfranco Cariolaro
      Pages 135-204

    4. Unified Theory: Frequency Domain Analysis

      • Gianfranco Cariolaro
      Pages 205-272

    5. Unified Theory: Signal Transformations

      • Gianfranco Cariolaro
      Pages 273-343

    6. Unified Theory: Multirate Transformations

      • Gianfranco Cariolaro
      Pages 345-397

    7. Unified Theory: Sampling and Interpolation

      • Gianfranco Cariolaro
      Pages 399-447

  6. Specific Classes of Signals and Applications

    1. Front Matter

      Pages 449-449
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    2. Signals Defined on ℝ

      • Gianfranco Cariolaro
      Pages 451-507

    3. Signals on ℝ/ℤ(T p )

      • Gianfranco Cariolaro
      Pages 509-520

    4. Signals on ℤ(T)

      • Gianfranco Cariolaro
      Pages 521-567

    5. Signals on ℤ(T)/ℤ(T p )

      • Gianfranco Cariolaro
      Pages 569-595

    6. Signal Analysis via Digital Signal Processing

      • Gianfranco Cariolaro
      Pages 597-641

    7. Signal Expansions, Filter Banks, and Subband Decomposition

      • Gianfranco Cariolaro
      Pages 643-718

    8. Multiresolution and Wavelets

      • Gianfranco Cariolaro
      Pages 719-778
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About this book

Unified Signal Theory is an indispensible textbook dealing with the theory of deterministic signals; a topic of fundamental interest to graduates and senior undergraduates in the areas of information engineering (telecommunications, control, systems theory and electronics), astronomy, oceanography, earth science, biology and medicine. The unified theory follows an innovative approach – that of combining all signal classes into just one. The fundamental signal operations (convolution, Fourier transform, linear systems, sampling and interpolation) are established simultaneously for all the signal classes. This unified approach avoids the repetition of similar concepts consequent on other approaches’ separate treatment of definitions and properties for each signal class. Modern wavelet ideas are developed in harmony with the rest of the text. Unified Signal Theory provides: • exercises and examples, to give the student practice; • solutions which are available for download and save the tutor time; and • a choice of two suggested reading paths depending on the level of the student, for an enhanced learning experience. The advantages of the unified approach are many: it permits a global vision of the topic, it is economical in teaching and learning, and it can be adjusted easily to fit new applications. This textbook presents the theory in five chapters, and goes on to demonstrate specific applications such as fast Fourier transform implementation, sampling and reconstructions ofsignals, and multicolor modulation systems, in a further six chapters. Mathematical concepts are introduced conceptually within the body of the book with more rigorous treatment being reserved for the appendices.

Reviews

“Unified signal theory here refers to a development of operations on signals and systems … . The first part of the book is appropriate for an undergraduate level course in Fourier methods in engineering. The middle part containing the unified theory could be used as a hybrid course for mathematics and engineering students, and the last part provides an adequate background to understand techniques and applications in current literature.” (Joseph D. Lakey, Mathematical Reviews, May, 2015)

“The book, which is intended as a textbook for technical and scientific faculties, not necessarily mathematical ones, is at a graduate level, but can be of interest for mathematicians interested in signal theory. … the present volume represents a true treatise in signal theory containing many original ideas. It is surely an excellent scientific work.” (Dumitru Stanomir, Zentralblatt MATH, Vol. 1226, 2012)

Authors and Affiliations

  • University of Padova, Padova, Italy

    Gianfranco Cariolaro

About the author

Gianfranco Cariolaro was born in 1936 and graduated in Electrical Engineering at the University of Padova (Italy) in 1960. He received the Libera Docenza in Electrical Communications in 1968 and was appointed full professor in 1975. Presently he is professor of Optical and Quantum Communications at the University of Padova. His main research interests are in the fields of data transmission, image, digital television, cellular radios, deep space communications, optical and quantum communication. He is the author of several books and has had cooperation with several industries, including Telettra (now Alcatel), Italtel, RAI, ST Microelectronics, Philips, Jet Propulsion Laboratory of NASA, and Eutelsat.

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