Mismatch loss
Mismatch loss
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Mismatch loss

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Mismatch loss

Mismatch loss in transmission line theory is the amount of power expressed in decibels that will not be available on the output due to impedance mismatches and signal reflections. A transmission line that is properly terminated, that is, terminated with the same impedance as that of the characteristic impedance of the transmission line, will have no reflections and therefore no mismatch loss. Mismatch loss represents the amount of power wasted in the system[dubiousdiscuss]. It can also be thought of as the amount of power gained if the system was perfectly matched[dubiousdiscuss]. Impedance matching is an important part of RF system design; however, in practice there will likely be some degree of mismatch loss. In real systems, relatively little loss is due to mismatch loss and is often on the order of 1dB[dubiousdiscuss].

A load mismatched to the characteristic impedance of a transmission line does not necessarily result in mismatch loss in the system . For example, if a traveling wave reflected from the load is transmitted back to the source, it could be re-reflected back to the load, until all of the signal's power is absorbed by the load. This is equivalent to a conjugate match between the output impedance of the transmission line (taking into account the source termination) and the load.

Mismatch loss (ML) is the ratio of the difference between incident and reflected power to incident power:

where

= incident power
= reflected power
= delivered power (also called the accepted power)

The fraction of incident power delivered to the load is


where is the magnitude of the reflection coefficient. Note that as the reflection coefficient approaches zero, power to the load is maximized.

If the reflection coefficient is known, mismatch can be calculated by

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