{"title":"Digital Signal Processing by Atomic Functions and Wavelets","authors":"V. F. Kravchenko, D. V. Churikov","doi":"10.1134/s1064226923130016","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The monograph is devoted to research and development of methods for analysis of physical systems based on theories of R- and atomic functions, WA-systems of functions, the construction of processing algorithms, and simulation of remote sensing and radio astronomy processes with the objective of improving the physical characteristics of the transmission, recovery, and recognition of multidimensional signals. The new weight functions (windows) and finite impulse response filters based on them, as well as analytical and orthogonal wavelets are described. The generalized sampling theorem based on atomic functions and its special cases are studied. The algorithm of synthesis of multidimensional functions with a reference area of the complex shape geometry is developed. The generalization of the ambiguity function of time and frequency in relation to the analysis of complex sounding signals is proposed and substantiated. The book is intended for researchers, postgraduates, and students working in the field of digital signal processing as applied to current problems of radio physics and radioengineering.</p>","PeriodicalId":50229,"journal":{"name":"Journal of Communications Technology and Electronics","volume":null,"pages":null},"PeriodicalIF":0.4000,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Communications Technology and Electronics","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1134/s1064226923130016","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 0
Abstract
The monograph is devoted to research and development of methods for analysis of physical systems based on theories of R- and atomic functions, WA-systems of functions, the construction of processing algorithms, and simulation of remote sensing and radio astronomy processes with the objective of improving the physical characteristics of the transmission, recovery, and recognition of multidimensional signals. The new weight functions (windows) and finite impulse response filters based on them, as well as analytical and orthogonal wavelets are described. The generalized sampling theorem based on atomic functions and its special cases are studied. The algorithm of synthesis of multidimensional functions with a reference area of the complex shape geometry is developed. The generalization of the ambiguity function of time and frequency in relation to the analysis of complex sounding signals is proposed and substantiated. The book is intended for researchers, postgraduates, and students working in the field of digital signal processing as applied to current problems of radio physics and radioengineering.
摘要 本专著致力于研究和开发基于 R 函数和原子函数理论的物理系统分析方法、WA 函数系统、处理算法的构建以及遥感和射电天文学过程的模拟，目的是改善多维信号传输、恢复和识别的物理特性。本文介绍了新的权重函数（窗口）和基于它们的有限脉冲响应滤波器，以及解析小波和正交小波。研究了基于原子函数的广义采样定理及其特例。开发了多维函数合成算法，其参考区域为复杂形状几何。提出并论证了时间和频率模糊函数的广义化与复杂探测信号分析的关系。本书面向在数字信号处理领域工作的研究人员、研究生和学生，应用于无线电物理和无线电工程的当前问题。
期刊介绍：
Journal of Communications Technology and Electronics is a journal that publishes articles on a broad spectrum of theoretical, fundamental, and applied issues of radio engineering, communication, and electron physics. It publishes original articles from the leading scientific and research centers. The journal covers all essential branches of electromagnetics, wave propagation theory, signal processing, transmission lines, telecommunications, physics of semiconductors, and physical processes in electron devices, as well as applications in biology, medicine, microelectronics, nanoelectronics, electron and ion emission, etc.
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