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polynomial matrix

A New Architecture Using Polynomial Matrix Multiplication for Advanced Wireless Communication

A New Architecture Using Polynomial Matrix Multiplication for Advanced Wireless Communication

... the Polynomial Matrix Multiplication (PMM) of polynomial matrices and/or polynomial vectors for application in Advanced Wireless Communication and an algorithm for computing the approximate ...

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Relevance of polynomial matrix decompositions to broadband blind signal separation

Relevance of polynomial matrix decompositions to broadband blind signal separation

... The aim of this paper is twofold: (i) provide an overview of polynomial matrix factorisation and (ii) discuss applications in the area of broadband BSS. In Section 2, the PEVD and related funda- mental ...

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A FPGA based Generic Architecture for Polynomial Matrix Multiplication in Image Processing

A FPGA based Generic Architecture for Polynomial Matrix Multiplication in Image Processing

... domain matrix into frequency domain and vice ...for Polynomial Matrix Multiplication (PMM) using Xilinx system generator ...of polynomial up to ...

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A comparison of iterative and DFT-based polynomial matrix eigenvalue decompositions

A comparison of iterative and DFT-based polynomial matrix eigenvalue decompositions

... order polynomial matrix is generally not of finite ...sequential matrix di- agonalisation (SMD) [10], second-order sequential best ro- tation (SBR2) [7], and various evolutions of the algorithm ...

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Algebraic adjoint of the polynomials-polynomial matrix multiplication

Algebraic adjoint of the polynomials-polynomial matrix multiplication

... In [2, 3], we gave explanations of the polynomial operator in the shifts and the polynomial matrix operator in the shifts, using categories and functors. Once again, the use of categories and ...

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Design Polynomial Matrix Multiplication By Using Circular Convolution Theorem

Design Polynomial Matrix Multiplication By Using Circular Convolution Theorem

... design polynomial matrix multiplication by using circular convolution ...a polynomial duplication modulo the polynomial z N-1, where N speaks to the most extreme length of every ...

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Perfect reconstruction of signal—a new polynomial matrix inverse approach

Perfect reconstruction of signal—a new polynomial matrix inverse approach

... by polynomial matrix ...so-called polynomial S-inverse is used, which, together with the applied degrees of freedom, creates a potential for the improvement of the operation of wireless data ...

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MVDR broadband beamforming using polynomial matrix techniques

MVDR broadband beamforming using polynomial matrix techniques

... of polynomial matrix ...blocking matrix design obtained by paraunitary matrix com- ...The polynomial approach decouples the spatial and temporal orders of the filters in the blocking ...

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Multichannel spectral factorization algorithm using polynomial matrix eigenvalue decomposition

Multichannel spectral factorization algorithm using polynomial matrix eigenvalue decomposition

... the polynomial matrix case [5], and the spectral factorization algorithm de- veloped by Janashia et ...Toeplitz matrix decomposition and Newton-Raphson ...Toeplitz matrix decomposition ...

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Synchronisation and equalisation of an FBMC/OQAM system by a polynomial matrix pseudo-inverse

Synchronisation and equalisation of an FBMC/OQAM system by a polynomial matrix pseudo-inverse

... polyphase matrix of transfer functions, and by using polynomial matrix algebra to equalise this ...channel matrix requires a polynomial matrix pseudo- inverse, and demonstrate ...

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Design and implementation of polynomial matrix multiplication by using cyclic convolution technique

Design and implementation of polynomial matrix multiplication by using cyclic convolution technique

... diagonal matrix [4] whose diagonal elements are called the singular values of ...the polynomial matrix A(z) is decomposed into its SVD over all ...

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On  Constructions  of  a  Sort  of  MDS  Block  Diffusion  Matrices  for  Block  Ciphers   and  Hash  Functions

On Constructions of a Sort of MDS Block Diffusion Matrices for Block Ciphers and Hash Functions

... to Theorem 3, if one polynomial matrix H(x) makes H(A) MDS, every polynomial matrix H 0 (x) in the same class as H(x)’s makes H 0 (A) MDS. In other words, MDS property is an invariant on every ...

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Sequential matrix diagonalization algorithms for polynomial EVD of parahermitian matrices

Sequential matrix diagonalization algorithms for polynomial EVD of parahermitian matrices

... generator polynomial matrix to span the code subspace, with its complement used as a polynomial parity check matrix to produce a syndrome in the noise-only subspace [8]; here the PEVD’s ...

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Monic divisors of polynomial matrices over infinite field

Monic divisors of polynomial matrices over infinite field

... a polynomial matrix over a field was one of the most investigated problems in the matrix theory in the middle and second half of last ...a polynomial matrix was solved by ...determinant ...

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Solutions of the matrix linear bilateral polynomial equation and their structure

Solutions of the matrix linear bilateral polynomial equation and their structure

... the matrix polynomial equation (1) is solvable, it obviously has solutions of unbounded above ...the matrix polynomial equation (1)? This problem was solved only in particular ...the ...

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Lieb

Lieb

... constant matrix coefficients of a polynomial matrix as submatrices of a superregular matrix, we obtain a column reduced generator matrix of an MDS convolutional code with a certain rate ...

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On Numerical Radius of a Matrix and Estimation of Bounds for Zeros of a Polynomial

On Numerical Radius of a Matrix and Estimation of Bounds for Zeros of a Polynomial

... The highest absolute value of the zeros of the polynomial is 2.055 and by 5th iteration we get 2.05. Continuing the above process, we can find the highest absolute value of the zeros of the polynomial up to ...

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Wiener Vector, Hyper-Wiener Vector, Wiener Number and Hyper-Wiener Number of Molecular Graphs

Wiener Vector, Hyper-Wiener Vector, Wiener Number and Hyper-Wiener Number of Molecular Graphs

... Wiener Matrix Sequence, Hyper Wiener Matrix Sequence, Wiener Polynomial Sequence and Hyper-Wiener Polynomial, Wiener number and Hyper Wiener number of Benzenoid hydrocarbons molecular graphs ...

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Design and Implementation of High Speed CRC Generators

Design and Implementation of High Speed CRC Generators

... by matrix F w , current state X and parallel input D, make the 32-bit parallel input vector suitable for any length of messages besides the multiple of a sequence of 32-bit parallel calculation, the final ...

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Numerical Solution of Fredholm Integro-differential Equations By Using Hybrid Function Operational Matrix of ‎Differentiation‎

Numerical Solution of Fredholm Integro-differential Equations By Using Hybrid Function Operational Matrix of ‎Differentiation‎

... In this paper, we constructed operational matrix of derivative of hybrid the third kind Chebyshev polynomials and Block-pulse functions. Also, we applied these matrices to convert Fredholm integro-differential ...

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