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Amplitude balance is a measure of how evenly the power is split between the outputs of an n-way power divider. For example, in a 2 way power divider, the input signal is split into two equal output signals, however there cab be slight variations in the amplitude of each signal - this variation is called amplitude balance. It is represented in dB.
Phase balance is a measure of the differential phase shift between the output signals of the power divider. In an ideal case, the phase of each output signal should remain unchanged and the same at each port. However, in the real world, each signal at the output varies in phase by a few degrees. This variation in phase is called the phase balance. The phase balance usually increases with frequency. It is represented in degrees.
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