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While propagating through the homogeneuos medium the different frequencies will decay at different rate 

LaTeX Math Inline
body\alpha(f)
 and if noise sensor is located at 
LaTeX Math Inline
body--uriencoded--%7B\bf r%7D_0 = \%7B0, \, 0, \, 0\%7D
 and the noise source is located at 
LaTeX Math Inline
body--uriencoded--%7B\bf r%7D
then the acoustic energy decay:

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