Linear Canonical Transforms
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Linear Canonical Transforms
This book provides a clear and accessible introduction to the essential mathematical foundations of linear canonical transforms from a signals and systems perspective. Substantial attention is devoted to how these transforms relate to optical systems and wave propagation. There is extensive coverage of sampling theory and fast algorithms for numerically approximating the family of transforms. Chapters on topics ranging from digital holography to speckle metrology provide a window on the wide range of applications. This volume will serve as a reference for researchers in the fields of image and signal processing, wave propagation, optical information processing and holography, optical system design and modeling, and quantum optics. It will be of use to graduate students in physics and engineering, as well as for scientists in other areas seeking to learn more about this important yet relatively unfamiliar class of integral transformations.
Matrices and Linear Transformations
Author: Charles G. Cullen
language: en
Publisher: Courier Corporation
Release Date: 1990-01-01
Undergraduate-level introduction to linear algebra and matrix theory. Explores matrices and linear systems, vector spaces, determinants, spectral decomposition, Jordan canonical form, much more. Over 375 problems. Selected answers. 1972 edition.
The Fractional Fourier Transform
Author: Haldun M. Ozaktas
language: en
Publisher: John Wiley & Sons
Release Date: 2001-02-08
The discovery of the Fractional Fourier Transform by the editors provides an elegant mathematical framework within which to discuss diffraction and other fundamental aspects of optical systems.