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Discrete generalized Fresnel functions and transforms in an arbitrary discrete basis-所有数据库
Source: hfbicd85ae6022a1f4d78sofqcuwcwo9wq6o9ffiac.eds.tju.edu.cn
Article summary:
1. This paper develops the idea of generalized Fresnel functions, which are used to express a discrete transform as a linear convolution.
2. The generalized discrete Fresnel functions and transforms for an arbitrary basis are considered using an algebraic approach to signal processing.
3. It is shown that the generalized Fresnel transforms induced by the Walsh basis and the corresponding generalized Fresnel functions are unitary, and that the generalized Fresnel transforms induced by the conjunctive basis consist of powers of the golden ratio.
Article analysis:
The article “Discrete Generalized Fresnel Functions and Transforms in an Arbitrary Discrete Basis” is a well-researched piece of work that provides a comprehensive overview of the topic at hand. The authors have done an excellent job in presenting their findings in a clear and concise manner, making it easy to understand even for readers with limited knowledge on this subject matter. The article also provides detailed explanations on how each concept works, which makes it easier for readers to follow along.
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