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Transmission Matrix definition

How exactly is the transmission matrix T (that is contained in the .str files) defined?
How is it related to the x- y- and z-component of the polarimetric E field?

Does the transmission matrix include the characteristics of the transmit antenna? If yes, how?
I am asking since the Tx antenna already has a defined polarization, but the transmission matrix seems to incorporate general H and V polarization at receiver and transmitter.

I already read some comments here in the community area about the transmission matrix. However, I am still unsure about the exact definition and whether/how it includes the transmit antenna.

In the end, I want to be able to compute the pure channel without antenna characteristics given the data in a .str file.

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Accepted answers

Zeina

@carston , I confirm that the antenna gain in accounted for in the T-matrix.

All comments

Zeina

Hi @carston ,

The transmission matrix computed is independent of the defined transmitter polarization. It computes all possible 4 combinations of polarisations between a transmitter and a receiver: VV, VH, HV, HH.

So if what you need are the values without an antenna polarization predefined, you got what you need in the .str file.

Best Regards,

Zeina

carston

Hence, the transmission matrix T describes the transmission of a signal s_v(t) via an omnidirectonal and vertically polarized antenna and a signal s_h(t) over an omnidirectional and horizontally polarized antenna?

received signals:
x_v = T_vv * s_v(t) + T_hv * s_h(t)
x_h = T_hh * s_h(t) + T_vh * s_v(t)

Is this correct?

Zeina

Hi @carston ,

I have just seen your question. I am checking out if the pattern is included or not and will get back to you shortly.

Best,

Zeina

@carston , I confirm that the antenna gain in accounted for in the T-matrix.

carston

Thank you!

Zeina

You are welcome