Frequency-selective Vandermonde decomposition of Toeplitz matrices with applications
نویسندگان
چکیده
منابع مشابه
Frequency-Selective Vandermonde Decomposition of Toeplitz Matrices With Applications
The classical result of Vandermonde decomposition of positive semidefinite Toeplitz matrices can date back to the early twentieth century. It forms the basis of modern subspace and recent atomic norm methods for frequency estimation. In this paper, we study the Vandermonde decomposition in which the frequencies are restricted to lie in a given interval, referred to as frequency-selective Vander...
متن کاملRandom Vandermonde Matrices-Part II: Applications
In this paper, we review some potential applications of random Vandermonde matrices in the field of signal processing and wireless communications. Using asymptotic results based on the theory of random Vandermonde matrices, we show through several application examples, namely deconvolution, wireless capacity analysis and sampling theory, the research potential of this theory. Quite surprisingly...
متن کاملVandermonde Matrices with Chebyshev Nodes
For n × n Vandermonde matrix Vn = (αi−1 j )1≤i j≤n with translated Chebyshev zero nodes, it is discovered that V T n admits an explicit QR decomposition with the R-factor consisting of the coefficients of the translated Chebyshev polynomials of degree less than n. This decomposition then leads to an exact expression for the condition number of its submatrix Vk,n = (αi−1 j )1≤i≤k,1≤j≤n (so-calle...
متن کاملTridiagonal Toeplitz matrices: properties and novel applications
1 Dipartimento di Matematica “Guido Castelnuovo”, SAPIENZA Università di Roma, P.le A. Moro, 2, I-00185 Roma, Italy. E-mail: [email protected]. Research supported by a grant from SAPIENZA Università di Roma. 2 Dipartimento di Matematica “Guido Castelnuovo”, SAPIENZA Università di Roma, P.le A. Moro, 2, I-00185 Roma, Italy. E-mail: [email protected]. 3 Department of Mathematic...
متن کاملBlock Toeplitz Matrices: Asymptotic Results and Applications
The present monograph studies the asymptotic behaviour of eigenvalues, products and functions of block Toeplitz matrices generated by the Fourier coefficients of a continuous matrix-valued function. This study is based on the concept of asymptotically equivalent sequences of non-square matrices. The asymptotic results on block Toeplitz matrices obtained are applied to vector asymptotically wide...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Signal Processing
سال: 2018
ISSN: 0165-1684
DOI: 10.1016/j.sigpro.2017.07.024