000 | 03782nam a22005655i 4500 | ||
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001 | 978-981-10-2809-0 | ||
003 | DE-He213 | ||
005 | 20220801213619.0 | ||
007 | cr nn 008mamaa | ||
008 | 170609s2018 si | s |||| 0|eng d | ||
020 |
_a9789811028090 _9978-981-10-2809-0 |
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024 | 7 |
_a10.1007/978-981-10-2809-0 _2doi |
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_aTJF _2bicssc |
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_aTEC024000 _2bisacsh |
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_aTJF _2thema |
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_a621.3 _223 |
100 | 1 |
_aHazra, Lakshminarayan. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _933206 |
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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. |
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300 |
_aIX, 82 p. 44 illus. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aSpringerBriefs in Applied Sciences and Technology, _x2191-5318 |
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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 |
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650 | 0 |
_aLasers. _97879 |
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650 | 0 |
_aSignal processing. _94052 |
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650 | 0 |
_aElectronics. _93425 |
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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 |
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710 | 2 |
_aSpringerLink (Online service) _933208 |
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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 |
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