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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Fourier analysis on finite abelian groups and the uncertainty principles
有限阿贝尔群 傅里叶分析 不确定性原理
2023/4/18
Let G be a finite abelian group. If f: G → C is a nonzero function with Fourier transform f , the Donoho-Stark uncertainty principle states that|supp(f)||supp(f )|≥|G|. The purpose of this talk is two...
西安电子科技大学数字信号处理英文课件Chapter3 The Discrete-time Fourier Analysis
西安电子科技大学 数字信号处理 英文课件 Chapter3 The Discrete-time Fourier Analysis
2020/6/22
西安电子科技大学数字信号处理英文课件Chapter3 The Discrete-time Fourier Analysis。
VINE PLOT DETECTION IN AERIAL IMAGES USING FOURIER ANALYSIS
segmentation remote-sensing frequency analysis Gabor filters vineyard
2015/8/19
Vine-plot mapping and monitoring are crucial issues in land management, particularly for areas where vineyards are dominant, like in some French regions. In this context, the availability of an automa...
Bars and stripes forever:Fourier analysis and vision
Bars stripes forever Fourier analysis vision
2015/8/14
Bars and stripes forever:Fourier analysis and vision.
Markov bases for noncommutative Fourier analysis of ranked data
Calibration markov chain monte carlo techniques data sets and statistical analysis
2015/7/8
To calibrate Fourier analysis of S5 ranking data by Markov chain Monte Carlo techniques, a set of moves (Markov basis) is needed. We calculate this basis, and use it to provide a new statistical analy...
Fourier analysis of stationary time series in function space
Cumulants discrete Fourier transform functional data analy-sis functional time series periodogram operator spectral density operator weak depen-dence
2013/6/14
We develop the basic building blocks of a frequency domain framework for drawing statistical inferences on the second-order structure of a stationary sequence of functional data. The key element in su...
On the (Im)Possibility of Tamper-Resilient Cryptography: Using Fourier Analysis in Computer Viruses
Tampering Randomness Fourier Analysis Encryption.
2013/4/18
We initiate a study of the security of cryptographic primitives in the presence of efficient tampering attacks to the randomness of honest parties. More precisely, we consider p-tampering attackers th...
Higher-order Fourier analysis of $\mathbb{F}_p^n$ and the complexity of systems of linear forms
Higher-order Fourier analysis linear forms
2010/11/24
Consider a subset $A$ of $\mathbb{F}_p^n$ and a decomposition of its indicator function as the sum of two bounded functions $1_A=f_1+f_2$. For every family of linear forms, we find the smallest degre...
Inequalities in $q-$Fourier Analysis
Č ebyš ev functional Grüss inequality Bessel Beta and Zeta function bounds
2008/7/1
In this paper we introduce the q-Bessel Fourier transform, the q-Bessel translation operator and the q-convolution product. We prove that the q- heat semigroup is contractive and we establish the q-an...