Chebyshev Multi-Section Wilkinson Power Divider Design
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Solution Overview
Problem
Existing ultra-wide band (UWB) power dividers lack detailed design methods for achieving equal ripple response in both transmission and isolation functions, particularly in multi-section Wilkinson power dividers, which limits their bandwidth and isolation performance.
Innovation Solution
A method for designing a UWB class I Chebyshev multi-section Wilkinson power divider that involves determining Chebyshev equal ripple order, calculating ABCD matrix expressions under even- and odd-mode analyses, and obtaining impedance values for coupled lines and isolation resistors to achieve equal ripple response and perfect isolation.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If conventional transmission line and coupling line structures are used in UWB power dividers, then isolation performance can be improved, but the bandwidth and equal ripple response characteristics are limited
Solution Approach 1:
The patent applies Chebyshev polynomial transformation to change the impedance parameters of the transmission lines, creating a multi-section Wilkinson power divider with equal ripple response characteristics. By transforming the impedance values according to Chebyshev distribution, the power divider achieves both wide bandwidth and perfect isolation characteristics simultaneously, resolving the contradiction between isolation performance and bandwidth adaptability.
2Reliability
If multi-section Wilkinson power divider is designed to achieve equal ripple response, then transmission function can be improved, but the design complexity and parameter optimization difficulty increase
Solution Approach 1:
The patent performs preliminary even-mode and odd-mode analyses to derive closed-form expressions for the impedance parameters before final circuit synthesis. By pre-calculating the Chebyshev-transformed impedance values and isolation resistor values using analytical formulas, the design process is simplified significantly, reducing design complexity while maintaining equal ripple transmission characteristics.
3Reliability
If isolation resistors are added to achieve perfect isolation, then isolation function is improved, but the device size and component count increase
Solution Approach 1:
The patent optimizes the impedance values of the transmission lines through Chebyshev transformation, which allows for reduced isolation resistor values compared to conventional designs. By carefully selecting the transformed impedance parameters, the isolation resistors can be minimized in value, thereby reducing their physical size and overall device footprint while maintaining perfect isolation function.
Data Source
AI summary
The disclosure discloses a method for establishing an ultra wide band (UWB) class I Chebyshev multi-section Wilkinson power divider having equal ripple isolation characteristic, including: step 1, determining a Chebyshev equal ripple order required in the designed circuit and calculating a class I Chebyshev polynomial in the same order, and meanwhile determining the equal ripple heights of S11 and S32; step 2, carrying out even-mode analysis on the power divider, calculating an ABCD matrix expression under the even-mode condition according to the Chebyshev equal ripple order and the number of the required coupled line units, calculating equivalent conditions, and then obtaining a Zev impedance value of each section of coupled line; step 3, carrying out odd-mode analysis on the power divider so that each zero position and each peak ripple position of S32 and S11 are the same.