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Symmetries and Groups in Signal Processing: An Introduction deals
with the subject of symmetry, and with its place and role in modern
signal processing. In the sciences, symmetry considerations and
related group theoretic techniques have had a place of central
importance since the early twenties. In engineering, however, a
matching recognition of their power is a relatively recent
development. Despite that, the related literature, in the form of
journal papers and research monographs, has grown enormously. A
proper understanding of the concepts that have emerged in the
process requires a mathematical background that goes beyond what is
traditionally covered in an engineering undergraduate curriculum.
Admittedly, there is a wide selection of excellent introductory
textbooks on the subject of symmetry and group theory. But they are
all primarily addressed to students of the sciences and
mathematics, or to students of courses in mathematics. Addressed to
students with an engineering background, this book is meant to help
bridge the gap.
Symmetries and Groups in Signal Processing: An Introduction deals
with the subject of symmetry, and with its place and role in modern
signal processing. In the sciences, symmetry considerations and
related group theoretic techniques have had a place of central
importance since the early twenties. In engineering, however, a
matching recognition of their power is a relatively recent
development. Despite that, the related literature, in the form of
journal papers and research monographs, has grown enormously. A
proper understanding of the concepts that have emerged in the
process requires a mathematical background that goes beyond what is
traditionally covered in an engineering undergraduate curriculum.
Admittedly, there is a wide selection of excellent introductory
textbooks on the subject of symmetry and group theory. But they are
all primarily addressed to students of the sciences and
mathematics, or to students of courses in mathematics. Addressed to
students with an engineering background, this book is meant to help
bridge the gap.
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