| 书目名称 | Self-similarity in Walsh Functions and in the Farfield Diffraction Patterns of Radial Walsh Filters |
| 编辑 | Lakshminarayan Hazra,Pubali Mukherjee |
| 视频video | |
| 概述 | Presents a genealogical chart of self-similar groups and subgroups in Walsh functions.Discusses self-similarity in transverse/axial intensity distributions in the far-field diffraction patterns of sel |
| 丛书名称 | SpringerBriefs in Applied Sciences and Technology |
| 图书封面 |  |
| 描述 | .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.. |
| 出版日期 | Book 2018 |
| 关键词 | Walsh-functions; Optical Imaging; Pupil Plane Filtering; Optical Tweezers; Walsh Filters |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-981-10-2809-0 |
| isbn_softcover | 978-981-10-2808-3 |
| isbn_ebook | 978-981-10-2809-0Series ISSN 2191-530X Series E-ISSN 2191-5318 |
| issn_series | 2191-530X |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |
发表于 2025-3-21 16:34:05
