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Hadamard Matrix Analysis and Synthesis: With Applications to
Communications and Signal/Image Processing presents the basic
concepts of Sylvester's construction of Hadamard matrices, the
eigenvalue-eigenvector decompositions, along with its relationship
to Fourier transforms. Relevant computational structures are
included for those interested in implementing the Hadamard
transform. The 2-dimensional Hadamard transform is discussed in
terms of a 1- dimensional transform. The applications presented
touch on statistics, error correction coding theory, communications
signaling, Boolean function analysis and synthesis, image
processing, sequence theory (maximal length binary sequences,
composite sequences, and Thue-Morse sequences) and signal
representation. An interesting application of the Hadamard
transform to images is the Naturalness Preserving Transform (NPT),
which is presented. The NPT provides a way to encode an image that
can be reconstructed when it is transmitted through a noisy or an
unfriendly channel. The potential applications of the Hadamard
transform are wide and the book samples many of the important
concepts among a vast field of applications of the transform.
Hadamard Matrix Analysis and Synthesis: With Applications to
Communications and Signal/Image Processing serves as an excellent
reference source and may be used as a text for advanced courses on
the topic.
A new breed of engineer is developing in our contemporary society.
These engineers are concerned with communications and computers,
economics and regulation. These new engineers apply themselves to
data-to its pack aging, transmission, and protection. They are data
engineers. Formal curricula do not yet exist for their dedicated
development. Rather they learn most of their tools "on the job" and
their roots are in computer engineering, communications
engineering, and applied mathe matics. There is a need to draw
relevant material together and present it so that those who wish to
become data engineers can do so, for the betterment of themselves,
their employer, their country, and, ultimately, the world-for we
share the belief that the most effective tool for world peace and
stability is neither politics nor armaments, but rather the open
and timely exchange of information. This book has been written with
that goal in mind. Today numerous signs encourage us to expect
broader information exchange in the years to come. The movement
toward a true Integrated Services Digital Network (ISDN) is perhaps
the clearest of these. Also, the development offormal protocol
layers reflects both a great deal of brilliance and compromise and
also the desire for a common language among data engineers."
Hadamard Matrix Analysis and Synthesis: With Applications to
Communications and Signal/Image Processing presents the basic
concepts of Sylvester's construction of Hadamard matrices, the
eigenvalue-eigenvector decompositions, along with its relationship
to Fourier transforms. Relevant computational structures are
included for those interested in implementing the Hadamard
transform. The 2-dimensional Hadamard transform is discussed in
terms of a 1- dimensional transform. The applications presented
touch on statistics, error correction coding theory, communications
signaling, Boolean function analysis and synthesis, image
processing, sequence theory (maximal length binary sequences,
composite sequences, and Thue-Morse sequences) and signal
representation. An interesting application of the Hadamard
transform to images is the Naturalness Preserving Transform (NPT),
which is presented. The NPT provides a way to encode an image that
can be reconstructed when it is transmitted through a noisy or an
unfriendly channel. The potential applications of the Hadamard
transform are wide and the book samples many of the important
concepts among a vast field of applications of the transform.
Hadamard Matrix Analysis and Synthesis: With Applications to
Communications and Signal/Image Processing serves as an excellent
reference source and may be used as a text for advanced courses on
the topic.
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