the vectorization of matrices
Báo cáo hóa học: " Research Article On the Vectorization of FIR Filterbanks Jayme Garcia Arnal Barbedo and Amauri Lopes" pptx
Ngày tải lên :
22/06/2014, 23:20
... of filterbank design.
The number of samples shown in the left of Figure 7 indi-
cates the number of samples to be discarded from the signal
for each case. In the case of Figure 7, the number of ... applied to the first eight
samples of the signal (situation 1). Unless the order of
the filter is a multiple of eight, the last eight coefficients
of the filter will not be applied to the correct ... Concatenation of results
The matrices F(i) are concatenated into a single matrix G
according to (4), where M is the number of frames. The rows
of matrix G are the signals at the output of the filterbank,
corresponding...
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Báo cáo hóa học: " Research Article New Trace Bounds for the Product of Two Matrices and Their Applications in the Algebraic Riccati Equation" potx
Ngày tải lên :
22/06/2014, 02:20
... new inequalities
for the trace of the product of two arbitrary real square matrices. These bounds improve and extend
the recent results. Further, we give their application in the algebraic Riccati ... 1979.
Journal of Inequalities and Applications 3
Therefore, considering the application of the trace bounds, many scholars pay much
attention to estimate the trace bounds for the product of two matrices.
Marshall ... particularly as
the dimensions of the system matrices increase. Thus, a number of works have been presented
by researchers to evaluate the bounds and trace bounds for the solution of the ARE6–12.
In...
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Báo cáo hóa học: " Research Article On the Connection between Kronecker and Hadamard Convolution Products of Matrices and Some Applications" pptx
Ngày tải lên :
22/06/2014, 02:20
... completes the proof of Theorem 2.8.
We note that Hadamard convolution product differs from the convolution product of
matrices in many ways. One important difference is the commutativity of Hadamard
convolution ... A•B
t
.
2.19
This completes the proof of Theorem 2.5.
Corollary 2.6. Let A
i
t ∈ M
I
m,n
1 ≤ i ≤ k, k ≥ 2. Then there exist two matrices P
km
t of order
m
k
× m and P
kn
t of order n
k
× n such ... 2.18
8 Journal of Inequalities and Applications
Further, Theorem 3.1 can be extended to the case of Hadamard convolution products which
involves finite number of matrices as follows.
Theorem 3.2....
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