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AN3394 Datasheet(PDF) 23 Page - STMicroelectronics |
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AN3394 Datasheet(HTML) 23 Page - STMicroelectronics |
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23 / 29 page ![]() AN3394 Demonstration of C11 and C22 calculation Doc ID 018754 Rev 5 23/29 Appendix A Demonstration of C11 and C22 calculation A.1 Equivalent circuit Ztot defines the input impedance of the matching circuit and the equivalent parallel antenna. Figure 22. Final equivalent circuit 1. Calculation of Req: Equation (A.I.1) 2. Calculation of Ztot: Equation (A.I.2) 3. Resonance pulsation: To determine the resonance pulsation, the imaginary part of Ztot must be cancelled. The conditions are: Equation (A.I.3) R eq R RXP R PA × R RXP R PA + -------------------------------- = Z tot 1 jC 11 ω × × --------------------------- R eq 1L PA ω 2 C 22 C 11 ) + ( × × – () j ω L PA × × + × R eq 1LPA C 22 ω 2 × × – () j ω L PA × × + ------------------------------------------------------------------------------------------------------------------------------ × = Z tot R tot jX tot × + = R tot R out = and X tot 0 = R tot R eq L PA C 11 ω 2 1L PA ω 2 × C 22 C 11 + () – ω 2 L PA R eq × × C 11 × 1L PA ω 2 C 22 × × – () × + () × × × × – R eq C 11 ω × × () 2 1L PA C 22 ω 2 × × – () 2 ω 2 L PA C 11 × × () 2 + × ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- = |
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