Transcription of RF Filter Design – Basic Filter Types
1 EEE 194RF_ L171RF Filter Design Basic Filter TypesEEE 194RF_ L172 Filter Attenuation ProfilesEEE 194RF_ L173RF Filter Parameters Insertion Loss: Ripple Bandwidth: BW 3dB= fu3dB fL3dB Shape Factor: Rejection()210101ininLPIL loglogP== minmaxAABWSFBW=EEE 194RF_ L174 Low-Pass FilterCascading four ABCD-networks.()10111011010111111 GLGGLLLABRRCDjCRRRjCRRRjCR = ++++ = + EEE 194RF_ L175RF Filter Parameters()10111011010111111 GLGGLLLABRRCDjCRRRjCRRRjCR = ++++ = + Cascading four 194RF_ L176 Low-Pass Filter Frequency Response Frequency Response from the ABCD Definitions: So the Transfer Functionis Simply:2120ivAv==()()111 GHAjRRC ==++EEE 194RF_ L177 Low-Pass Filter Frequency Response Corresponding Phase is: Group Delay:()gdtd =()(){}(){}1 ImHtanReH = EEE 194RF_ L178 High-Pass Filter ()10101111110101111111 GLGGLLLABRRCDRjLRRRRjLRjLR = ++++ = + EEE 194RF_ L179 High-Pass Filter Frequency Response Frequency Response from the ABCD Definitions.
2 So the Transfer Functionis Simply:2120ivAv==()()11111 GLHARRjLR == +++ EEE 194RF_ L1710 High-Pass Filter Frequency Response For : Inductive Influence Can Be Neglected()211 LGGLGLVRRRVRRRR==++++EEE 194RF_ L1711 Low-Pass Filter RealizationsEEE 194RF_ L1712 Low-Pass ButterworthFilter CoefficientsEEE 194RF_ L1713 Low-Pass ButterworthFilter AttenuationEEE 194RF_ L1714 Low-Pass Linear-Phase Filter CoefficientsEEE 194RF_ L1715 Chebyshev-Type FiltersEEE 194RF_ L1716 Chebyshev-Type FiltersEEE 194RF_ L1717 Chebyshev-Type Filter ResponseResponse for 3 dB ripple Chebyshev LPFEEE 194RF_ L1718 Chebyshev-Type Filter ResponseResponse for dB ripple Chebyshev LPFEEE 194RF_ L1719 Low-Pass ChebysevFilter Coefficients 3 dB RippleEEE 194RF_ L1720 Low-Pass ChebysevFilter Coefficients dB RippleEEE 194RF_ L1721 Standard
3 Low-Pass Filter Design The normalized inductors and capacitors (g1, g2, .. , gN) are denormalizedusing:andwhere Cn, Ln, are the gnnormalized values from the tables 2nCCCfR= 2nCLRLf=