The discrete Fourier transform (DFT) is a fundamental component of numerous
computational techniques in signal processing and scientific computing. The most popular …

信号采样是联系模拟信源和数字信息的桥梁. 人们对信息的巨量需求造成了信号采样,
传输和存储的巨大压力. 如何缓解这种压力又能有效提取承载在信号中的有用信息是信号与信息 …

Random matrices now play a role in many areas of theoretical, applied, and computational
mathematics. Therefore, it is desirable to have tools for studying random matrices that are …

This first chapter formulates the objectives of compressive sensing. It introduces the
standard compressive problem studied throughout the book and reveals its ubiquity in many …

We give efficient protocols and matching accuracy lower bounds for frequency estimation in
the local model for differential privacy. In this model, individual users randomize their data …

The monograph Data Clustering: Theory, Algorithms, and Applications was published in
2007. Starting with the common ground and knowledge for data clustering, the monograph …

This paper considers the model problem of reconstructing an object from incomplete
frequency samples. Consider a discrete-time signal f/spl isin/C/sup N/and a randomly …

Suppose x is an unknown vector in Ropf m (a digital image or signal); we plan to measure n
general linear functionals of x and then reconstruct. If x is known to be compressible by …

Suppose we are given a vector< emphasis>< formula formulatype=" inline">< tex>
f</tex></formula></emphasis> in a class< emphasis>< formula formulatype=" inline">< tex> …

Spectrum sensing is a key function of cognitive radio to prevent the harmful interference with
licensed users and identify the available spectrum for improving the spectrum's utilization …