# Hadamard Matrix Analysis and Synthesis

## With Applications to Communications and Signal/Image Processing

Part of the The Springer International Series in Engineering and Computer Science book series (SECS, volume 383)

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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.

Potential Signal algebra calculus coding coding theory communication fast Fourier transform (FFT) image processing logic statistics

- DOI https://doi.org/10.1007/978-1-4615-6313-6
- Copyright Information Kluwer Academic Publishers 1997
- Publisher Name Springer, Boston, MA
- eBook Packages Springer Book Archive
- Print ISBN 978-1-4613-7898-3
- Online ISBN 978-1-4615-6313-6
- Series Print ISSN 0893-3405
- Buy this book on publisher's site