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Author Hazra, Lakshminarayan, author
Title Self-similarity in Walsh functions and in the farfield diffraction patterns of radial Walsh filters / by Lakshminarayan Hazra, Pubali Mukherjee
Imprint Singapore : Springer Singapore : Imprint: Springer, 2018
book jacket
Descript 1 online resource (ix, 82 pages) : illustrations (some color), digital ; 24 cm
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Series SpringerBriefs in applied sciences and technology, 2191-530X
SpringerBriefs in applied sciences and technology
Note 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
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 synthesis of phase filters. Self-similarity is observed in the far-field diffraction patterns of the corresponding self-similar filters. Walsh functions form a closed set of orthogonal functions over a prespecified interval, each function taking merely one constant value (either +1 or -1) in each of a finite number of subintervals into which the entire interval is divided. The order of a Walsh function is equal to the number of zero crossings within the interval. Walsh functions are extensively used in communication theory and microwave engineering, as well as in the field of digital signal processing. Walsh filters, derived from the Walsh functions, have opened up new vistas. They take on values, either 0 or π phase, corresponding to +1 or -1 of the Walsh function value
Host Item Springer eBooks
Subject Walsh functions
Engineering
Microwaves, RF and Optical Engineering
Optics, Lasers, Photonics, Optical Devices
Signal, Image and Speech Processing
Electronics and Microelectronics, Instrumentation
Alt Author Mukherjee, Pubali, author
SpringerLink (Online service)
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