Linear Canonical Transforms: Theory and Applications John J. Healy
Publisher: Springer New York

2009: Alan McIntosh (Harmonic Analysis, PDEs, Operator Theory), Macquarie University, the Windowed linear canonical transform and its applications. Many properties for this transform are already known, but the convolution linear canonical transform convolution theorems sampling multiplicative filter Qi L, Wang Y. This book provides a clear and accessible introduction to the essential mathematical foundations of linear canonical transforms from a signals and systems. The Linear Canonical Transform (LCT) is a four parameter class of integral transform which plays an and has found many applications in signal processing, the theory of representation transformation in quantum. The linear canonical transform (LCT) has been shown to be useful Finally, some potential applications of the derived theory are presented. Theory and Applications of the Fractional Fourier Transform (in Chinese ). Amazon.co.jp： Linear Canonical Transforms: Theory and Applications (Springer Series in Optical Sciences): John J. Keywords: Fourier transform, discrete Fourier transform, linear canonical transform, fractional transforms that are often used in signal processing applications. This book provides a clear and accessible introduction to the essential mathematics of linear canonical transforms and how they relate to optical systems. (2004) Theory and Applications of the Fractional Fourier Transform. Wigner-Ville Distribution Associated with the Linear Canonical Transform on ResearchGate, Finally, the applications of the newly defined Wigner-Ville transform in the and the simulation results are also given to verify the derived theory.