why the bandwidth of the modes can be assessed as H1 norm
$begingroup$
I'm studying the Variational Mode Decomposition(VMD) resently.
The author assesses the bandwidth of the modes as H1 norm.(Page 533)
And later expressed as :
The bandwidth is now estimated through the Gaussian smoothness of the demodulated signal,i.e.the squared L2-norm of the gradient.(page 534)
I'm confused with relation between bandwidth and H1 norm.
The squared L2-norm of the gradient
Dragomiretskiy K, Zosso D. Variational mode decomposition[J]. IEEE transactions on signal processing, 2014, 62(3): 531-544.
norm
asked Dec 23 '18 at 4:36
paul Jiangpaul Jiang
11
$endgroup$
add a comment |
$begingroup$
I'm studying the Variational Mode Decomposition(VMD) resently.
The author assesses the bandwidth of the modes as H1 norm.(Page 533)
And later expressed as :
The bandwidth is now estimated through the Gaussian smoothness of the demodulated signal,i.e.the squared L2-norm of the gradient.(page 534)
I'm confused with relation between bandwidth and H1 norm.
The squared L2-norm of the gradient
Dragomiretskiy K, Zosso D. Variational mode decomposition[J]. IEEE transactions on signal processing, 2014, 62(3): 531-544.
norm
asked Dec 23 '18 at 4:36
paul Jiangpaul Jiang
11
$endgroup$
add a comment |
$begingroup$
I'm studying the Variational Mode Decomposition(VMD) resently.
The author assesses the bandwidth of the modes as H1 norm.(Page 533)
And later expressed as :
The bandwidth is now estimated through the Gaussian smoothness of the demodulated signal,i.e.the squared L2-norm of the gradient.(page 534)
I'm confused with relation between bandwidth and H1 norm.
The squared L2-norm of the gradient
Dragomiretskiy K, Zosso D. Variational mode decomposition[J]. IEEE transactions on signal processing, 2014, 62(3): 531-544.
norm
asked Dec 23 '18 at 4:36
paul Jiangpaul Jiang
11
$endgroup$
I'm studying the Variational Mode Decomposition(VMD) resently.
The author assesses the bandwidth of the modes as H1 norm.(Page 533)
And later expressed as :
The bandwidth is now estimated through the Gaussian smoothness of the demodulated signal,i.e.the squared L2-norm of the gradient.(page 534)
I'm confused with relation between bandwidth and H1 norm.
The squared L2-norm of the gradient
Dragomiretskiy K, Zosso D. Variational mode decomposition[J]. IEEE transactions on signal processing, 2014, 62(3): 531-544.
norm
norm
asked Dec 23 '18 at 4:36
paul Jiangpaul Jiang
11
asked Dec 23 '18 at 4:36
paul Jiangpaul Jiang
11
asked Dec 23 '18 at 4:36
paul Jiangpaul Jiang
11
asked Dec 23 '18 at 4:36
paul Jiangpaul Jiang
11
asked Dec 23 '18 at 4:36
paul Jiangpaul Jiang
11
11
add a comment |
add a comment |
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