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Essentials of Signals and Systems (Paperback)
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Essentials of Signals and Systems (Paperback)
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Novel approach to the theory of signals and systems in an
introductory, accessible textbook Signals and Systems have a
reputation of being a difficult subject. Essentials of Signals and
Systems is a standalone textbook aiming to change this reputation
with a novel approach to this subject, teaching the essential
concepts of signals and systems in a clear, friendly, intuitive,
and accessible way. The overall vision of the book is that
traditional approaches to signals and systems are unnecessarily
convoluted, and that students' learning experiences are much
improved by making a clear connection between the theory of
representation of signal and systems, and the theory of
representation of vectors and matrices in linear algebra. The
author begins by reviewing the theory of representation in linear
algebra, emphasizing that vectors are represented by different
coordinates when the basis is changed, and that the basis of
eigenvectors is special because it diagonalizes the operator. Thus,
in each step of the theory of representation of signals and
systems, the author shows the analogous step in linear algebra.
With such an approach, students can easily understand that signals
are analogous to vectors, that systems are analogous to matrices,
and that Fourier transforms are a change to the basis that
diagonalizes LTI operators. The text emphasizes the key concepts in
the analysis of linear and time invariant systems, demonstrating
both the algebraic and physical meaning of Fourier transforms. The
text carefully connects the most important transforms (Fourier
series, Discrete Time Fourier Transform, Discrete Fourier
Transforms, Laplace and z-transforms), emphasizing their
relationships and motivations. The continuous and discrete time
domains are neatly connected, and the students are shown
step-by-step how to use the fft function, using simple examples.
Incorporating learning objectives and problems, and supported with
simple Matlab codes to illustrate concepts, the text presents to
students the foundations to allow the reader to pursue more
advanced topics in later courses. Developed from lecture notes
already tested with more than 600 students over six years,
Essentials of Signals and Systems covers sample topics such as:
Basic concepts of linear algebra that are pertinent to signals and
systems. Theory of representation of signals, with an emphasis on
the notion of Fourier transforms as a change of basis, and on their
physical meaning. Theory of representation of linear and time
invariant systems, emphasizing the role of Fourier transforms as a
change to the basis of eigenvectors, and the physical meaning of
the impulse and frequency responses. What signals and systems have
to do with phasors and impedances, and the basics of filter design.
The Laplace transform as an extension of Fourier transforms.
Discrete signals and systems, the sampling theorem, the Discrete
Time Fourier Transform (DTFT), the Discrete Fourier Transform
(DFT), and how to use the fast fourier transform (fft). The
z-transform as an extension of the Discrete Time Fourier Transform.
Essentials of Signals and Systems is an immensely helpful textbook
on the subject for undergraduate students of electrical and
computer engineering. The information contained within is also
pertinent to those in physics and related fields involved in the
understanding of signals and system processing, including those
working on related practical applications.
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