Introduction to Shannon Sampling and Interpolation Theory
Introduction to Shannon Sampling and Interpolation Theory
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DOI：
10.1007/978-1-4613-9708-3
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发表时间：
1990-11
期刊：
影响因子：
--
通讯作者：
R. Marks
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文献类型：
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作者：
R. Marks
大部分的序数是模拟的。另一方面，大多数计算引擎都是数字化的。从模拟到数字的转换非常简单：我们只需采样。从这些样本中恢复原始信号或评估采样过程中丢失的信息是采样和插值理论所解决的基本问题。这本书涉及理解，概括和扩展香农抽样理论的基数系列。值得注意的是，这一系列的基本形式表明，一个带限信号是由其足够接近的等距样本唯一指定的。这本书的内容演变从一套准备的研究生调查课程香农抽样和插值理论的讲义。该课程在位于西雅图的华盛顿大学电气工程系教授。本书七章中的每一章都包括一个与该章相关的参考文献列表。这本书的续篇将包括关于这个问题的大量参考书目。作者还选择在附录中包括选定练习的解决方案。
Much of that which is ordinal is modeled as analog. Most computational engines on the other hand are dig-ital. Transforming from analog to digital is straightforward: we simply sample. Regaining the original signal from these samples or assessing the information lost in the sampling process are the fundamental questions addressed by sampling and interpolation theory. This book deals with understanding, generalizing, and extending the cardinal series of Shannon sampling theory. The fundamental form of this series states, remarkably, that a bandlimited signal is uniquely specified by its sufficiently close equally spaced samples. The contents of this book evolved from a set of lecture notes prepared for a graduate survey course on Shannon sampling and interpolation theory. The course was taught at the Department of Electrical Engineering at the University of Washington, Seattle. Each of the seven chapters in this book includes a list of references specific to that chapter. A sequel to this book will contain an extensive bibliography on the subject. The author has also opted to include solutions to selected exercises in the Appendix.