单位的波谱-地球科学堆栈交换江南电子竞技平台江南体育网页版 最近30从www.hoelymoley.com 2023 - 07 - 10 - t05:58:06z //www.hoelymoley.com/feeds/question/9532 https://creativecommons.org/licenses/by-sa/4.0/rdf //www.hoelymoley.com/q/9532 7 单位的波谱 RH_data_maths //www.hoelymoley.com/users/7367 2017 - 01 - 25 - t17:17:32z 2017 - 01 - 27 t19:08:10z < p >等海洋光谱Pierson Moskowitz或JONSWAP模型,$ S的单位(\ω)是m ^ 2美元/ (rad / S)美元(或其他计量单位工作)。m ^ 2美元来自哪里和身体是什么意思?< / p >

I understand that the integral of the spectrum over all frequencies, i.e. $\int S(\omega) \,d\omega $, is the variance which means that the integral should have $m^2$ units? Please correct me if I am wrong.

 //www.hoelymoley.com/questions/9532/-/9537 # 9537 5 答案由milancurcic波谱的单位 milancurcic //www.hoelymoley.com/users/192 2017 - 01 - 26 t14:23:10z 2017 - 01 - 26 t14:23:10z < blockquote > < p >我理解,对所有的频率谱的积分是积分方差这意味着应该m ^ 2单位美元?如果我错了,请纠正我。< / p >

You are correct. If elevation $\eta(t)$ is the measured quantity (units of $m$), the Fourier transform of wave variance $\eta^2$ yields spectrum $S(f)$ with the units of $m^2/Hz$, or if you are working with angular frequency $\omega = 2\pi f$, it yields $S(\omega)$ with the units of $m^2/rad/Hz$.

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