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## Semi-analytic approaches to broadband matching problems: real frequency techniques

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Radio Frequency and Microwave Power Amplifiers. Volume 1: Principles, Device Modeling and Matching Networks — Recommend this title to your library

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In this article discusses the analytic theory of broadband matching is essential to understand the gain- bandwidth limitations of the given impedances to be matched. However, its applicability is limited beyond simple problems. By simple we mean those problems of single or double matching in which the generator and load networks include at most one reactive element, either a capacitor or an inductor. For simple impedance terminations, lowpass equal ripple or flat gain prototype networks, which are obtained employing the analytic theory, may have practical usage. On the other hand, if the numbers of elements that increase in the impedance models is to be matched, the theory becomes inaccessible. If it is capable of handling the problem, the resulting gain performances turn out to be suboptimal. Equalizer structures become unnecessarily complicated, and even it may not be feasible to manufacture them. Therefore, in practice, computer-aided-design (CAD) techniques are preferred; commercially available programs are employed to solve the matching problems.

Chapter Contents:

• 5.1 Real frequency line-segment technique
• 5.1.1 Solution to single matching problem with reactance cancellation: generation of initials for the nonlinear optimization
• 5.1.2 Gain optimization for RFLT
• 5.1.3 Effect of the last break point and total number of unknowns on the gain performance
• 5.1.3.1 Performance measure of the matched system
• 5.1.4 Practical models for RFLT generated minimum immittance data
• 5.1.5 Synthesis of the equalizer for RFLT
• 5.1.6 Summary of RFLT algorithm
• 5.2 Real frequency direct computational technique (RFDT) for double matching problems
• 5.2.1 Investigation on the nonlinearity of the double matching gain
• 5.2.2 Algorithm for RFDT
• 5.3 Initialization of RFDT algorithm
• 5.3.2 Initialization via real-frequency line-segment technique
• 5.3.3 Initialization on the best case solution
• 5.4 Design of a matching equalizer for a short monopole antenna
• 5.5 Design of a single matching equalizer for an ultrasonic transducer T1350
• 5.6 Simplified real frequency technique (SRFT): "scattering approach"
• 5.6.1 Antenna tuning using SRFT: design of a matching network for a helix antenna
• 5.6.2 SRFT algorithm to design matching networks
• References
• MATLAB® program lists

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