Transmission of the harmonic wave u(x,t)=A Sin ($omega$t + kx + $phi$) from point 1 to different point in...
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Consider that we have u(x,t)=A Sin ($omega$t + kx + $phi$) which it can be a simple form of a seismic wave. suppose that this wave travels from point 1 ,in ground surface, to point 2. we have the power spectral density function of seismic wave for both points and the cross power spectral density function between two points. Can anybody tell me what are the amplitude and phase of the wave in point 2.
I think it may be solved using spectral representation method in stochastic processes but I don't know how.
trigonometry stochastic-processes wave-equation
asked Dec 22 '18 at 16:02
Parsa ParvanehroParsa Parvanehro
53
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add a comment |
$begingroup$
Consider that we have u(x,t)=A Sin ($omega$t + kx + $phi$) which it can be a simple form of a seismic wave. suppose that this wave travels from point 1 ,in ground surface, to point 2. we have the power spectral density function of seismic wave for both points and the cross power spectral density function between two points. Can anybody tell me what are the amplitude and phase of the wave in point 2.
I think it may be solved using spectral representation method in stochastic processes but I don't know how.
trigonometry stochastic-processes wave-equation
asked Dec 22 '18 at 16:02
Parsa ParvanehroParsa Parvanehro
53
$endgroup$
add a comment |
$begingroup$
Consider that we have u(x,t)=A Sin ($omega$t + kx + $phi$) which it can be a simple form of a seismic wave. suppose that this wave travels from point 1 ,in ground surface, to point 2. we have the power spectral density function of seismic wave for both points and the cross power spectral density function between two points. Can anybody tell me what are the amplitude and phase of the wave in point 2.
I think it may be solved using spectral representation method in stochastic processes but I don't know how.
trigonometry stochastic-processes wave-equation
asked Dec 22 '18 at 16:02
Parsa ParvanehroParsa Parvanehro
53
$endgroup$
Consider that we have u(x,t)=A Sin ($omega$t + kx + $phi$) which it can be a simple form of a seismic wave. suppose that this wave travels from point 1 ,in ground surface, to point 2. we have the power spectral density function of seismic wave for both points and the cross power spectral density function between two points. Can anybody tell me what are the amplitude and phase of the wave in point 2.
I think it may be solved using spectral representation method in stochastic processes but I don't know how.
trigonometry stochastic-processes wave-equation
trigonometry stochastic-processes wave-equation
asked Dec 22 '18 at 16:02
Parsa ParvanehroParsa Parvanehro
53
asked Dec 22 '18 at 16:02
Parsa ParvanehroParsa Parvanehro
53
asked Dec 22 '18 at 16:02
Parsa ParvanehroParsa Parvanehro
53
asked Dec 22 '18 at 16:02
Parsa ParvanehroParsa Parvanehro
53
asked Dec 22 '18 at 16:02
Parsa ParvanehroParsa Parvanehro
53
53
add a comment |
add a comment |
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