How to calculate wavelet energy?
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1
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Part of my assignment about signal processing says the following:
- Compute the Discrete Wavelet Transform for the input signals
- Group the wavelet coefficients in trees growing across scales
- Classify the trees in high- and low-energy trees
I've managed to implement my own DWT, calculate the coefficients and group them in trees.
Now I'm left with calculating the energy of the wavelet coefficients.
Question: How to calculate the energy of wavelet coefficients?
I am doing this in Matlab.
matlab signal-processing wavelets
asked Dec 31 '14 at 10:43
JNevens
1281112
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up vote
1
down vote
favorite
Part of my assignment about signal processing says the following:
- Compute the Discrete Wavelet Transform for the input signals
- Group the wavelet coefficients in trees growing across scales
- Classify the trees in high- and low-energy trees
I've managed to implement my own DWT, calculate the coefficients and group them in trees.
Now I'm left with calculating the energy of the wavelet coefficients.
Question: How to calculate the energy of wavelet coefficients?
I am doing this in Matlab.
matlab signal-processing wavelets
asked Dec 31 '14 at 10:43
JNevens
1281112
add a comment |
up vote
1
down vote
favorite
up vote
1
down vote
favorite
Part of my assignment about signal processing says the following:
- Compute the Discrete Wavelet Transform for the input signals
- Group the wavelet coefficients in trees growing across scales
- Classify the trees in high- and low-energy trees
I've managed to implement my own DWT, calculate the coefficients and group them in trees.
Now I'm left with calculating the energy of the wavelet coefficients.
Question: How to calculate the energy of wavelet coefficients?
I am doing this in Matlab.
matlab signal-processing wavelets
asked Dec 31 '14 at 10:43
JNevens
1281112
Part of my assignment about signal processing says the following:
- Compute the Discrete Wavelet Transform for the input signals
- Group the wavelet coefficients in trees growing across scales
- Classify the trees in high- and low-energy trees
I've managed to implement my own DWT, calculate the coefficients and group them in trees.
Now I'm left with calculating the energy of the wavelet coefficients.
Question: How to calculate the energy of wavelet coefficients?
I am doing this in Matlab.
matlab signal-processing wavelets
matlab signal-processing wavelets
asked Dec 31 '14 at 10:43
JNevens
1281112
asked Dec 31 '14 at 10:43
JNevens
1281112
asked Dec 31 '14 at 10:43
JNevens
1281112
asked Dec 31 '14 at 10:43
JNevens
1281112
asked Dec 31 '14 at 10:43
JNevens
1281112
1281112
add a comment |
add a comment |
1 Answer
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If such coefficients are calculated from an orthonormal basis, rather than from a redundant wavelet transform like the discrete case of a CWT, then the energy is the sum of the square of the absoute values of those coefficients, because orthonormal wavelet bases converge in norm, and the energy of a signal is defined as the integral of its absolute value.
See https://en.wikipedia.org/wiki/Energy_(signal_processing)
answered Dec 4 at 23:42
Dr Potato
394
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1 Answer
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1 Answer
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oldest
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up vote
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If such coefficients are calculated from an orthonormal basis, rather than from a redundant wavelet transform like the discrete case of a CWT, then the energy is the sum of the square of the absoute values of those coefficients, because orthonormal wavelet bases converge in norm, and the energy of a signal is defined as the integral of its absolute value.
See https://en.wikipedia.org/wiki/Energy_(signal_processing)
answered Dec 4 at 23:42
Dr Potato
394
add a comment |
up vote
0
down vote
If such coefficients are calculated from an orthonormal basis, rather than from a redundant wavelet transform like the discrete case of a CWT, then the energy is the sum of the square of the absoute values of those coefficients, because orthonormal wavelet bases converge in norm, and the energy of a signal is defined as the integral of its absolute value.
See https://en.wikipedia.org/wiki/Energy_(signal_processing)
answered Dec 4 at 23:42
Dr Potato
394
add a comment |
up vote
0
down vote
up vote
0
down vote
If such coefficients are calculated from an orthonormal basis, rather than from a redundant wavelet transform like the discrete case of a CWT, then the energy is the sum of the square of the absoute values of those coefficients, because orthonormal wavelet bases converge in norm, and the energy of a signal is defined as the integral of its absolute value.
See https://en.wikipedia.org/wiki/Energy_(signal_processing)
answered Dec 4 at 23:42
Dr Potato
394
If such coefficients are calculated from an orthonormal basis, rather than from a redundant wavelet transform like the discrete case of a CWT, then the energy is the sum of the square of the absoute values of those coefficients, because orthonormal wavelet bases converge in norm, and the energy of a signal is defined as the integral of its absolute value.
See https://en.wikipedia.org/wiki/Energy_(signal_processing)
answered Dec 4 at 23:42
Dr Potato
394
edited Dec 4 at 23:55
answered Dec 4 at 23:42
Dr Potato
394
answered Dec 4 at 23:42
Dr Potato
394
answered Dec 4 at 23:42
Dr Potato
394
394
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