Mixing
energy density spectrum vs energy spectral density
$begingroup$
I am doing a project on ocean wave simulation and there is a formula I am trying to test. It is called the random coefficient scheme and it is meant to simulate a random time series.
One part of the formula is S(f), the 'Energy Density Spectrum'.
Here is a screenshot from my notes
The definition I have found for the energy density spectrum is that it is the square of the amplitude of a Fourier transform of a function. That is fine, but I am aware of researchers the EDS to generate virtual waves, and I don't understand what they would use for the value of it there. I imagine it would be reverse-engineered somehow? I am also unsure if it is the same as Energy Spectral Density, a term which seems more common.
I have been reading anything I can find about it but am still struggling to find something I understand. What I want to know is how it is chosen/derived. If i want to simulate my own waves then where could it come from?
I also don't understand how a spectrum is represented in a way that can be multiplied with scalars as required.
Sorry if this is overly specific! I'm not sure what stack exchange site it should be on.
fourier-transform signal-processing time-series simulation
asked Jan 31 at 15:54
O. M.W.O. M.W.
62
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add a comment |
$begingroup$
I am doing a project on ocean wave simulation and there is a formula I am trying to test. It is called the random coefficient scheme and it is meant to simulate a random time series.
One part of the formula is S(f), the 'Energy Density Spectrum'.
Here is a screenshot from my notes
The definition I have found for the energy density spectrum is that it is the square of the amplitude of a Fourier transform of a function. That is fine, but I am aware of researchers the EDS to generate virtual waves, and I don't understand what they would use for the value of it there. I imagine it would be reverse-engineered somehow? I am also unsure if it is the same as Energy Spectral Density, a term which seems more common.
I have been reading anything I can find about it but am still struggling to find something I understand. What I want to know is how it is chosen/derived. If i want to simulate my own waves then where could it come from?
I also don't understand how a spectrum is represented in a way that can be multiplied with scalars as required.
Sorry if this is overly specific! I'm not sure what stack exchange site it should be on.
fourier-transform signal-processing time-series simulation
asked Jan 31 at 15:54
O. M.W.O. M.W.
62
$endgroup$
add a comment |
$begingroup$
I am doing a project on ocean wave simulation and there is a formula I am trying to test. It is called the random coefficient scheme and it is meant to simulate a random time series.
One part of the formula is S(f), the 'Energy Density Spectrum'.
Here is a screenshot from my notes
The definition I have found for the energy density spectrum is that it is the square of the amplitude of a Fourier transform of a function. That is fine, but I am aware of researchers the EDS to generate virtual waves, and I don't understand what they would use for the value of it there. I imagine it would be reverse-engineered somehow? I am also unsure if it is the same as Energy Spectral Density, a term which seems more common.
I have been reading anything I can find about it but am still struggling to find something I understand. What I want to know is how it is chosen/derived. If i want to simulate my own waves then where could it come from?
I also don't understand how a spectrum is represented in a way that can be multiplied with scalars as required.
Sorry if this is overly specific! I'm not sure what stack exchange site it should be on.
fourier-transform signal-processing time-series simulation
asked Jan 31 at 15:54
O. M.W.O. M.W.
62
$endgroup$
I am doing a project on ocean wave simulation and there is a formula I am trying to test. It is called the random coefficient scheme and it is meant to simulate a random time series.
One part of the formula is S(f), the 'Energy Density Spectrum'.
Here is a screenshot from my notes
The definition I have found for the energy density spectrum is that it is the square of the amplitude of a Fourier transform of a function. That is fine, but I am aware of researchers the EDS to generate virtual waves, and I don't understand what they would use for the value of it there. I imagine it would be reverse-engineered somehow? I am also unsure if it is the same as Energy Spectral Density, a term which seems more common.
I have been reading anything I can find about it but am still struggling to find something I understand. What I want to know is how it is chosen/derived. If i want to simulate my own waves then where could it come from?
I also don't understand how a spectrum is represented in a way that can be multiplied with scalars as required.
Sorry if this is overly specific! I'm not sure what stack exchange site it should be on.
fourier-transform signal-processing time-series simulation
fourier-transform signal-processing time-series simulation
asked Jan 31 at 15:54
O. M.W.O. M.W.
62
asked Jan 31 at 15:54
O. M.W.O. M.W.
62
asked Jan 31 at 15:54
O. M.W.O. M.W.
62
asked Jan 31 at 15:54
O. M.W.O. M.W.
62
asked Jan 31 at 15:54
O. M.W.O. M.W.
62
62
add a comment |
add a comment |
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