A quarter-wave impedance transformer is a simple, yet effective device used in radio frequency (RF) engineering to match different impedances in transmission lines. The function of the quarter-wave transformer is to transform an impedance into another by utilizing the specific properties of transmission lines. ### Key Points: 1. **Length**: The quarter-wave transformer is usually designed to be one-quarter of the wavelength (λ/4) at the frequency of interest. The length of the transformer is critical for its proper function.

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  1. Filter theory
  2. Control theory
  3. Applied mathematics
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