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Practical impedance-matching devices will generally provide best results over a specified frequency band. The concept of impedance matching is widespread in electrical engineering, but is relevant in other applications in which a form of energy, not necessarily electrical, is transferred between a source and a load, such as in acoustics or optics.
Another application is the design of impedance matching networks. Impedance matching at a single frequency requires only a trivial network—usually one component. Impedance matching over a wide band, however, requires a more complex network, even in the case that the source and load resistances do not vary with frequency.
One half is impedance-scaled to the input impedance and the other is scaled to the output impedance. The response shape of the filter remains the same. This does not amount to an impedance matching network, the impedances looking in to the network ports bear no relationship to the termination impedances. This means that a network designed by ...
The lattice network which has these solutions for Z a and Z b is shown in the left-hand circuit, below. It can be converted to an unbalanced form by, firstly, extracting the common parallel inductors and, secondly, by then extracting series common capacitors. This gives the ladder network shown in the right-hand circuit.
Equivalent unbalanced and balanced networks. The impedance of the series elements in the balanced version is half the corresponding impedance of the unbalanced version. Fig. 3. To be balanced, a network must have the same impedance in each "leg" of the circuit. A 3-terminal network can also be used as a 2-port.
In the case of a black-box network with multiple ports, the impedance looking into each port must be the dual of the impedance of the corresponding port of the dual network. This is consistent with the general notion duality of electric circuits, where the voltage and current are interchanged, etc., since Z = V I {\displaystyle Z={\frac {V}{I ...
To adjust the matching network the simplest instrument to measure the degree of mismatch between the feedline and the antenna is called an SWR meter (standing wave ratio meter), which reports the standing wave ratio (SWR) on the line: The ratio of the adjacent maximum and minimum voltage or current on the line. A ratio of 1:1 indicates an ...
Three networks with arbitrary propagation constants and impedances connected in cascade. The Z i terms represent image impedance and it is assumed that connections are between matching image impedances. The ratio of output to input voltage for each network is given by [4]
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