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emilbjornson / RIS-fading

Simulation code for “Rayleigh Fading Modeling and Channel Hardening for Reconfigurable Intelligent Surfaces, IEEE Wireless Communications Letters, to appear.
https://ebjornson.com/research/
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The PDF of directions of multipath component #1

Open yuhongkang opened 3 years ago

yuhongkang commented 3 years ago

Dear Professor,

Thank you very much for sharing the code for the reproducible research, I have a question about the paper ''Rayleigh Fading Modeling and Channel Hardening for Reconfigurable Intelligent Surfaces''.

In equation (2), the PDF function has the term cos(\theta), which implies that there is a greater probability when \theta value is close to 0 than \pi/2. In my opinion, it contradicts with isotropic distribution.

I look forward to your answers to my misunderstanding.

emilbjornson commented 3 years ago

Hi, an isotropic distribution has equal probability in all directions in Cartesian coordinates. When representing this in polar coordinates, an extra cos(theta) term appears from the Jacobian. This models the fact that some elevation angles are more common than others.

Best regards

Emil

2 juli 2021 kl. 02:00 skrev yuhongkang @.***>:

 Dear Professor,

Thank you very much for sharing the code for the reproducible research, I have a question about the paper ''Rayleigh Fading Modeling and Channel Hardening for Reconfigurable Intelligent Surfaces''.

In equation (2), the PDF function has the term cos(\theta), which implies that there is a greater probability when \theta value is close to 0 that \pi/2. In my opinion, it contradicts with isotropic distribution.

I look forward to your answers to my misunderstanding.

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