The Linear Canonical Transform and Its Broadened Scope - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Linear Canonical Transform and Its Broadened Scope write by Aamir Hamid Dar. This book was released on 2024-03-30. The Linear Canonical Transform and Its Broadened Scope available in PDF, EPUB and Kindle. The Linear Canonical Transform (LCT) is a mathematical operation that generalizes the Fourier transform, fractional Fourier transform, and other similar transforms. It describes the transformation of signals or functions in time and frequency domains in a linear, continuous, and reversible manner. The LCT can be expressed using a 4x4 matrix, which allows for efficient computation and manipulation. The broadened scope of the LCT encompasses various applications in signal processing, optics, image processing, and quantum mechanics. Its versatility lies in its ability to handle a wide range of signal types, including non-stationary, chirp-like, and spatially varying signals. Additionally, the LCT provides a unified framework for analyzing and processing signals with different degrees of chirpiness or time-frequency characteristics. Applications of the LCT include signal modulation, filtering, feature extraction, pattern recognition, and image reconstruction. It has found particular utility in optical systems for beam shaping, propagation, and manipulation. Furthermore, the LCT has been applied in quantum mechanics to study wave-particle duality and quantum information processing.
Linear Canonical Transforms
Linear Canonical Transforms - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Linear Canonical Transforms write by John J. Healy. This book was released on 2015-11-26. Linear Canonical Transforms available in PDF, EPUB and Kindle. 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.
Discrete Linear Canonical Transform and Its Applications
Discrete Linear Canonical Transform and Its Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discrete Linear Canonical Transform and Its Applications write by 賴韻曲. This book was released on 2014. Discrete Linear Canonical Transform and Its Applications available in PDF, EPUB and Kindle.
Numerical Approximation of the Linear Canonical Transform
Numerical Approximation of the Linear Canonical Transform - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical Approximation of the Linear Canonical Transform write by J. Healy. This book was released on 2010. Numerical Approximation of the Linear Canonical Transform available in PDF, EPUB and Kindle.
Unitary and Additive Discrete Linear Canonical Transform
Unitary and Additive Discrete Linear Canonical Transform - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Unitary and Additive Discrete Linear Canonical Transform write by Liang Zhao. This book was released on 2015. Unitary and Additive Discrete Linear Canonical Transform available in PDF, EPUB and Kindle.
