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Fuzzy Modelling of Voltage Standing Wave Ratio using Fuzzy Regression Method

By T. D. Dongale, T G. Kulkarni and R. R. Mudholkar


Abstract — The transmission line or waveguide exhibit the nonlinear characteristics of VSWR (Voltage Standing Wave Ratio) pattern. An attempt is made to model the VSWR pattern characteristics using method of Fuzzy Reasoning and Fuzzy Regression Method. The very idea of fuzzy reasoning by linear function has been explored in modelling the VSWR pattern. The results show a great resemblance between practical results and that obtained using fuzzy based VSWR model. The VSWR pattern of any transmission line or waveguide consists of many other parameters which profoundly affect the transmitting and receiving signal. These include the parameters such as Return Loss, Reflection Coefficient and mismatch loss. The modelling of VSWR pattern is demonstrated by using Sugeno Reasoning Method. This reasoning method consists of output membership function as linear function. The fuzzy regression is used for the reducing the output linear equation. Fuzzy Regression Method reduces the output linear equations from 49 to 7. This also demonstrates the feasibility of using Fuzzy reasoning in the microwave device modelling exhibiting non-linear behaviour. The fuzzy reasoning is broadly classified into two methods: first the Direct method and second the Indirect method. The direct method includes Mamdani’s method, Takagi and Sugeno’s fuzzy modeling and Simplified method. The direct methods are popular due to their simplicity. The indirect methods are based on truth value space. The indirect method has complex reasoning mechanism. In the fuzzy modeling of VSWR we have employed the fuzzy reasoning by Takagi-Sugeno reasoning, where consequence part of the rule is represented by linear function

Topics: VSWR pattern, Sugeno Reasoning, Fuzzy Regression, linear function
Year: 2012
OAI identifier: oai:CiteSeerX.psu:
Provided by: CiteSeerX
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