Descript 
1 online resource (ix, 82 pages) : illustrations (some color), digital ; 24 cm 

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computer c rdamedia 

online resource cr rdacarrier 

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Series 
SpringerBriefs in applied sciences and technology, 2191530X


SpringerBriefs in applied sciences and technology

Note 
Walsh Functions  Selfsimilarity in Walsh Functions  Computation of Farfield Diffraction Characteristics of radial Walsh Filters on the pupil of axisymmetric imaging systems  Selfsimilarity in Transverse Intensity Distributions on the Farfield plane of selfsimilar radial Walsh Filters  Selfsimilarity in Axial Intensity Distributions around the Farfield plane of selfsimilar radial Walsh Filters  Selfsimilarity in 3D Light Distributions near the focus of selfsimilar radial Walsh Filters. Conclusion 

The book explains the classification of a set of Walsh functions into distinct selfsimilar groups and subgroups, where the members of each subgroup possess distinct selfsimilar structures. The observations on selfsimilarity presented provide valuable clues to tackling the inverse problem of synthesis of phase filters. Selfsimilarity is observed in the farfield diffraction patterns of the corresponding selfsimilar 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)

