- I want to compare the reflectivity(dB) of the different impedance forms. The formula for reflection coefficient is generally given in the literature, but how to convert it to reflectivity to compare bandwidth less than -10dB? How are transmission line lengths(L), head(Z0) and end characteristic impedances (ZL) and theta determined?
Dear Hengyu Zhang ,
I'm out of my expertise field, but I try to contribute and you check whether it's helpful.
The reflection coefficient (Γ) is a measure of the power reflected back towards the source, relative to the power incident on a load impedance (ZL) that is different from the characteristic impedance (Z0) of the transmission line. Reflectivity (dB) can be calculated from the reflection coefficient (Γ) as follows: Reflectivity (dB) = 20 * log10(|Γ|).
The length (L) of the transmission line, the head impedance (Z0), and the end characteristic impedance (ZL) are usually determined based on the specifications of the transmission line and the desired performance of the system. In general, the characteristic impedance (Z0) of the transmission line is chosen to match the source impedance, and the end characteristic impedance (ZL) is chosen to match the load impedance.
Theta, also known as the phase shift, is the phase difference between the incident and reflected wave. It is a function of the electrical length of the transmission line, the frequency of the signal, and the characteristic impedance (Z0) of the transmission line. Theta can be calculated using the following formula: Theta = (2 * pi * L) / (λ), where L is the length of the transmission line and λ is the wavelength of the signal.
Thank you for taking the time to answer my questions. You are very helpful. Thank you very much.
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