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XingzhiMac / CAS741-Proj

Project for CAS 741
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Derviation of Phi_FORSxis not clear #14

Closed shinsid closed 3 years ago

shinsid commented 4 years ago

Screenshot from 2020-10-19 17-24-38

Hi Xingzhi,

Question - In the above derivation, I was wondering what happens to Phi_LOS ? Can you please clarify?

XingzhiMac commented 3 years ago

λ is the wavelength, c is the speed of light and f is the frequency of the signal. c = λf (1), then 1/λ = f/c 2πΔd (1/λ) = 2πΔd f/c Hope this could help you. Speaking of this, you remind me of a missing reference in this document regarding the equation (1) in this reply. I will add it in the next revision. Thanks very much!

smiths commented 3 years ago

@XingzhiMac, I think @shinsid was looking for an explanation in your document, rather than just a comment. Phi_LOS just seems to disappear between the second to last equation in the derivation and the last equation. Your explanation above doesn't have a symbol for Phi_LOS. I think we are just looking for an explanation (as part of the derivation) of how you get from the second to last equation to the last equation.

shinsid commented 3 years ago

Hi @XingzhiMac ,

Like Dr. Smith mentioned, my question was related to Phi_LOS. Sorry for the extra highlights in the picture. I do this often when I am reading through the document just for my understanding. The first two equations are absolutely clear.

XingzhiMac commented 3 years ago

@smiths @shinsid It was my bad. Sorry, I placed the essential statement in the table but forgot to mention it in the derivation. The equation holds as we take Phi_LOS as the reference (i.e. Phi_LOS = 0). image Hope this could answer your question. I will add that statement in the derivation. Thank you!

shinsid commented 3 years ago

It's clear now. Thanks ! :100:

XingzhiMac commented 3 years ago

@smiths @shinsid I pushed commit 432f9cd82a654452e4c6dc2d1a069d99510050d7 for this issue.

smiths commented 3 years ago

Great!