Unified Signal Theory

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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 of signals, multicarrier modulation systems, image scanning and tomography, 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.

Author(s): Gianfranco Cariolaro (auth.)
Edition: 1
Publisher: Springer-Verlag London
Year: 2011

Language: English
Pages: 928
Tags: Signal, Image and Speech Processing; Fourier Analysis; Image Processing and Computer Vision; Communications Engineering, Networks; Control

Front Matter....Pages I-XIX
Front Matter....Pages 15-15
Introduction....Pages 1-14
Front Matter....Pages 15-15
Classical Signal Theory....Pages 17-79
Front Matter....Pages 81-81
Unified Theory: Fundamentals....Pages 83-134
Unified Theory: Signal Domain Analysis....Pages 135-204
Unified Theory: Frequency Domain Analysis....Pages 205-272
Unified Theory: Signal Transformations....Pages 273-343
Unified Theory: Multirate Transformations....Pages 345-397
Unified Theory: Sampling and Interpolation....Pages 399-447
Front Matter....Pages 449-449
Signals Defined on ℝ....Pages 451-507
Signals on ℝ/ℤ( T p )....Pages 509-520
Signals on ℤ( T )....Pages 521-567
Signals on ℤ( T )/ℤ( T p )....Pages 569-595
Signal Analysis via Digital Signal Processing....Pages 597-641
Signal Expansions, Filter Banks, and Subband Decomposition....Pages 643-718
Multiresolution and Wavelets....Pages 719-778
Advanced Topics on Multidimensional Signals....Pages 779-841
Study of Images....Pages 843-915
Back Matter....Pages 917-927