Page 179 - Analog and Digital Filter Design
P. 179

1 76 Analog and Digital Filter Design




                                                                         1
                       Remember that  for a tuned circuit at resonance, Fo =  ~   The inductor
                                                                      2nm.
                       and capacitor  values can be found by  manipulating  this equation. Hence the
                                                                                    1
                       inductor  required  to  tune  the  lowpass capacitor  becomes  LBp  =
                                                                                ~~'FO~C,,~'
                       and  the  capacitor  required  to  tune  the  lowpass  inductor  becomes
                                 1
                       CBP  =
                                Fo'
                             4~' L,,  '
                       For  the  bandpass  filter tuned  to  198 kHz, the  frequency translating  factor  is
                       4dFo'  = 1.547712 x 10".  Using this information the bandpass circuit compo-
                       nent values are given in Table 6.1.



                          Lowpass                            Bandpass
                         Component       Lowpass Value      Component        Bandpass Value
                            c1            14.4644 x             L1           44.669 x 10-~
                            L2            37.87 x               c2            17.0614 x
                            c3            46.8103 x             L3            13.8028 x
                            L4            37.87 x               c4            17.0614 x lo-'
                            c5            14.4644 x             L5           44.669 x 10-~








                       Putting  these components  into  the circuit, you  now  have  the bandpass  filter
                       shown in Figure 6.4.






                                                  II                   II
                                                    --                   --            R=l
                                                    --
                                                                         --
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