Motion-induced antenna visualisation #3

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cfalas · 2024-10-25T15:50:19+03:00

cfalas commented

2024-10-25 15:50:19 +03:00

This paper claims that the gain at the receiver is as follows by the following formula:



c(t) = \alpha_0 + \sum_{n=1}^N \alpha_n e^{-j\frac{2\pi}{\lambda} \psi_n^Mt} + \eta(t)

where \psi_n^M = v_n(\cos \phi^R_n + \cos \phi_n^T), with v_n being the speed that the person is moving at, and the angles as in figure 2, directly copied below:

.

Although I understand the idea vaguely, I am not sure why the formula for \psi_n^M is what it is. I therefore want to make a visualisation to demonstrate to myself that this is true, and get an intuition on why.

[This](https://web.ece.ucsb.edu/~ymostofi/papers/IPSN19_KaranamKoranyMostofi.pdf) paper claims that the gain at the receiver is as follows by the following formula: $$ c(t) = \alpha_0 + \sum_{n=1}^N \alpha_n e^{-j\frac{2\pi}{\lambda} \psi_n^Mt} + \eta(t) $$ where $\psi_n^M = v_n(\cos \phi^R_n + \cos \phi_n^T)$, with $v_n$ being the speed that the person is moving at, and the angles as in figure 2, directly copied below: ![image](/attachments/7749d89f-0c09-4faf-ae03-bfe4baebec49). Although I understand the idea vaguely, I am not sure why the formula for $\psi_n^M$ is what it is. I therefore want to make a visualisation to demonstrate to myself that this is true, and get an intuition on why.

image.png

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cfalas added this to the background milestone 2024-10-25 15:50:19 +03:00

cfalas added this to the Background project 2024-10-25 15:50:19 +03:00

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Reference: cfalas/dissertation#3