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020 _a9789811028090
_9978-981-10-2809-0
024 7 _a10.1007/978-981-10-2809-0
_2doi
050 4 _aTK5101-5105.9
072 7 _aTJF
_2bicssc
072 7 _aTEC024000
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082 0 4 _a621.3
_223
100 1 _aHazra, Lakshminarayan.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_933206
245 1 0 _aSelf-similarity in Walsh Functions and in the Farfield Diffraction Patterns of Radial Walsh Filters
_h[electronic resource] /
_cby Lakshminarayan Hazra, Pubali Mukherjee.
250 _a1st ed. 2018.
264 1 _aSingapore :
_bSpringer Nature Singapore :
_bImprint: Springer,
_c2018.
300 _aIX, 82 p. 44 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringerBriefs in Applied Sciences and Technology,
_x2191-5318
505 0 _aWalsh 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.
520 _aThe 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.
650 0 _aTelecommunication.
_910437
650 0 _aLasers.
_97879
650 0 _aSignal processing.
_94052
650 0 _aElectronics.
_93425
650 1 4 _aMicrowaves, RF Engineering and Optical Communications.
_931630
650 2 4 _aLaser.
_931624
650 2 4 _aSignal, Speech and Image Processing .
_931566
650 2 4 _aElectronics and Microelectronics, Instrumentation.
_932249
700 1 _aMukherjee, Pubali.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_933207
710 2 _aSpringerLink (Online service)
_933208
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9789811028083
776 0 8 _iPrinted edition:
_z9789811028106
830 0 _aSpringerBriefs in Applied Sciences and Technology,
_x2191-5318
_933209
856 4 0 _uhttps://doi.org/10.1007/978-981-10-2809-0
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c75392
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