Prob. 3 (25 pt) If we express a directional spectrum over all frequency fand all direction in the following form: EL. 6)

[answerhappygod]

Prob 3 25 Pt If We Express A Directional Spectrum Over All Frequency Fand All Direction In The Following Form El 6 1 (17.49 KiB) Viewed 31 times

Prob. 3 (25 pt) If we express a directional spectrum over all frequency fand all direction in the following form: EL. 6) = EU HU.) the directional spreading function Hif.) can be displayed in a Fourier expansion with respect to wave direction) as THƯ,0) = (1/2+2 o. cosino) • I bolt) sin(n) with n=1,2,3... where the frequency dependent Fourier coefficient are 0.() SH. cosino) do, and b.ch - JHU. )sinin) do with the integration over all directions. Ils Prove the following inequalities (ref: Lin et al. 1996) (a) 10.1 Dis (2) (b) 10. (h) bichi 1/2 (c) fa.698+ [6.14s1