Self-similarity in Walsh Functions and in the Farfield Diffraction Patterns of Radial Walsh Filters

• Main Authors: Hazra, Lakshminarayan (Author, http://id.loc.gov/vocabulary/relators/aut), Mukherjee, Pubali (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: SpringerBriefs in Applied Sciences and Technology,
• Subjects: Microwaves.; Optical engineering.; Lasers.; Photonics.; Signal processing.; Image processing.; Speech processing systems.; Electronics.; Microelectronics.; Microwaves, RF and Optical Engineering.; Optics, Lasers, Photonics, Optical Devices.; Signal, Image and Speech Processing.; Electronics and Microelectronics, Instrumentation.

The book explains the classification of a set of Walsh functions into distinct self-similar groups and subgroups, where the members of each subgroup possess distinct self-similar structures. The observations on self-similarity presented provide valuable clues to tackling the inverse problem of synth...

Table of Contents:

• Walsh Functions
• Self-similarity in Walsh Functions
• Computation of Farfield Diffraction Characteristics of radial Walsh Filters on the pupil of axisymmetric imaging systems
• Self-similarity in Transverse Intensity Distributions on the Farfield plane of self-similar radial Walsh Filters
• Self-similarity in Axial Intensity Distributions around the Farfield plane of self-similar radial Walsh Filters
• Self-similarity in 3D Light Distributions near the focus of self-similar radial Walsh Filters. Conclusion.