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Filter Prototype Denormalization

The following table gives equation and schematic transforms necessary to convert normalized lowpass filter prototype values (1 rad/sec cutoff, 1 Ω source & load impedance).

RF Cafe - Filter prototype denormalization equation lowpass prototype

Lowpass Prototype - Capacitor Input

 

R = source/load resistance in Ω

CProto, LProto = prototype lowpass capacitor or
                            inductor value, respectively

C, L = denormalized capacitor or inductor value,
            respectively

FUpper & FLower = upper and lower cutoff
                                 frequencies, respectively, in Hz

Final C and L values will be in farads (F) and
henries (H), respectively

RF Cafe - Filter prototype denormalization equation lowpass prototype

Lowpass Prototype - Inductor Input

Type Transform Equation Transform Schematic
Lowpass RF Cafe - Filter prototype denormalization equation lowpass prototype inductor 1 RF Cafe - Filter prototype denormalization equation lowpass prototype inductor 2
RF Cafe - Filter prototype denormalization equation lowpass prototype inductor 4  RF Cafe - Filter prototype denormalization equation lowpass prototype inductor 3
RF Cafe - Filter prototype denormalization equation lowpass prototype capacitor 1 RF Cafe - Filter prototype denormalization equation lowpass prototype capacitor 2    RF Cafe - Filter prototype denormalization equation lowpass prototype capacitor 3
 
Highpass RF Cafe - Filter prototype denormalization equation highpass prototype inductor 4 RF Cafe - Filter prototype denormalization equation highpass prototype inductor 5  RF Cafe - Filter prototype denormalization equation highpass prototype inductor 7  RF Cafe - Filter prototype denormalization equation highpass prototype inductor 6
RF Cafe - Filter prototype denormalization equation highpass prototype capacitor 4 RF Cafe - Filter prototype denormalization equation highpass prototype capacitor 5
RF Cafe - Filter prototype denormalization equation highpass prototype capacitor 7  RF Cafe - Filter prototype denormalization equation highpass prototype capacitor 6
Bandpass RF Cafe - Filter prototype denormalization equation bandpass prototype parallel capacitor inductor 1 RF Cafe - Filter prototype denormalization equation bandpass prototype parallel capacitor inductor 2 RF Cafe - Filter prototype denormalization equation bandpass prototype parallel capacitor inductor 3  RF Cafe - Filter prototype denormalization equation bandpass prototype parallel capacitor inductor 5  RF Cafe - Filter prototype denormalization equation bandpass prototype parallel capacitor inductor 4
RF Cafe - Filter prototype denormalization equation bandpass prototype series capacitor inductor 1 RF Cafe - Filter prototype denormalization equation bandpass prototype series capacitor inductor 2 RF Cafe - Filter prototype denormalization equation bandpass prototype series capacitor inductor 3
RF Cafe - Filter prototype denormalization equation bandpass prototype series capacitor inductor 5  RF Cafe - Filter prototype denormalization equation bandpass prototype series capacitor inductor 4
 
Bandstop RF Cafe - Filter prototype denormalization equation bandstop prototype series capacitor inductor 1 RF Cafe - Filter prototype denormalization equation bandstop prototype series capacitor inductor RF Cafe - Filter prototype denormalization equation bandstop prototype series capacitor inductor 2  RF Cafe - Filter prototype denormalization equation bandstop prototype parallel capacitor inductor 8  RF Cafe - Filter prototype denormalization equation bandstop prototype series capacitor inductor 3
RF Cafe - Filter prototype denormalization equation bandstop prototype parallel capacitor inductor 4 RF Cafe - Filter prototype denormalization equation bandstop prototype parallel capacitor inductor 5 RF Cafe - Filter prototype denormalization equation bandstop prototype parallel capacitor inductor 6
  RF Cafe - Filter prototype denormalization equation bandstop prototype parallel capacitor inductor 7
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