Spectral Theory Of Large Dimensional Random Matrices And Its Applications To Wireless Communication

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    Spectral Theory Of Large Dimensional Random Matrices And Its Applications To Wireless Communications And Finance Statistics: Random Matrix Theory And Its Applications
    Random Matrix Theory and its Applications
    By: Zhidong Bai; Zhaoben Fang; Ying-Chang Liang
    Publisher:
    WSPC
    Print ISBN: 9789814579056, 981457905X
    eText ISBN: 9789814579070, 9814579076
    Pages: 232
    Format: EPUB
    Available from $ 39.00 USD
    SKU 9789814579070
    The book contains three parts: Spectral theory of large dimensional random matrices; Applications to wireless communications; and Applications to finance. In the first part, we introduce some basic theorems of spectral analysis of large dimensional random matrices that are obtained under finite moment conditions, such as the limiting spectral distributions of Wigner matrix and that of large dimensional sample covariance matrix, limits of extreme eigenvalues, and the central limit theorems for linear spectral statistics. In the second part, we introduce some basic examples of applications of random matrix theory to wireless communications and in the third part, we present some examples of Applications to statistical finance.
    Contents:
    Introduction
    Limiting Spectral Distributions
    Extreme Eigenvalues
    Central Limit Theorems of Linear Spectral Statistics
    Limiting Behavior of Eigenmatrix of Sample Covariance Matrix
    Wireless Communications
    Limiting Performances of Linear and Iterative Receivers
    Application to Finance

    Readership: Graduate students and researchers in random matrices.
     

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