准等角框架（QEF）：一种新的灵活框架结构
Quasi-Equiangular Frame (QEF) : A New Flexible Configuration of Frame
摘要：
框架理论是信号处理和通信领域的有力工具。在其众多的构型中，最近引起人们极大关注的是等角紧框架（ETF）和格拉斯曼框架。这些帧在相干性上都具有某种最优性，从而在诸如数字指纹、擦除信道和压缩感知等应用中带来鲁棒性或最优性能。然而，对ETF的存在和构造的严格限制和格拉斯曼框架成为ETF广泛应用的主要障碍。本文提出了一种新的框架结构：拟等角框架，作为ETF和格拉斯曼框架的一种折衷但更方便灵活的近似。给出了拟等角框架的形式化定义，并分析了它与ETF、格拉斯曼框架的关系。此外，针对ETF和Grassmannian框架在压缩感知中的广泛应用，我们利用随机矩阵的技巧得到了拟等角框架的约束等距常数（RIC）关于其关键参数的渐近集中估计.
英文摘要：
Frame theory is a powerful tool in the domain of signal processing and communication. Among its numerous configurations, the ones which have drawn much attention recently are Equiangular Tight Frame (ETF) and Grassmannian Frame. These frames both have some kind of optimality in coherence, thus bring robustness or optimal performance in applications such as digital fingerprint, erasure channels, and Compressive Sensing. However, too strict constraint on existence and construction of ETF and Grassmannian Frame became the main obstacle for widespread use. In this paper, we propose a new configuration of frame: Quasi-Equiangular Frame, as a compromise but more convenient and flexible approximation of ETF and Grassmannian Frame. We will give formal definition of Quasi-Equiangular Frame and analyze its relationship with ETF and Grassmannian frame. Furthermore, for popularity of ETF and Grassmannian frame in Compressive Sensing, we utilize the technique of random matrices to obtain asymptotical concentration estimation of the Restricted Isometry Constant (RIC) of Quasi-Equiangular Frame with respect to its key parameter.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
