Page 31 - Analog and Digital Filter Design
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28      Analog and Digital Filter Design





                        filter with the appropriate frequency response. Thus they avoid the use of induc-
                        tors. Because there are gain and bandwidth limitations for all op-amps, the per-
                        formance of  the filter can be restricted. Active filter designs were once restricted
                        to frequencies below  100 kHz, but wide bandwidth op-amps (particularly cur-
                        rent  feedback  types) are  now  allowing filter  designs  up  to  a few  megahertz
                        (MHz). This makes them suitable for video signal filtering.















                  Figure 1.1 0
                  An Operational Amplifier
                  (op-amp)


                        Active  filters  have  the  advantage  of  being  smaller  than  passive  types,  and
                        integrated circuit designs allow them to be miniaturized further. Unfortunately
                        active  filters  do  have  disadvantages: op-amps  add  noise  to  the  signals;  the
                        signal’s amplitude is limited by  the op-amp’s output  slew rate and the power
                        supply voltage; and harmonic distortion can also be introduced, particularly at
                        the output stage.
                        Active filters are more suited to designs that  are not  very  demanding, where
                        rapid changes in amplitude occur as the frequency of the signal is changed. Even
                        in a nondemanding filter design the signals within a filter circuit can be  many
                        times the applied voltage. For example, a signal may have an amplitude of, say,
                        one volt, and this may  be multiplied typically to perhaps  ten volts within the
                        filter. Devices within the filter must therefore be able to handle signals with large
                        amplitudes at frequencies well beyond the passband required.

                        Integrated circuit (IC) filters are now quite common because they can be much
                        smaller than  active filters using op-amps and very much smaller than passive
                        filters. Their small size supports the general trend to miniaturize equipment. The
                        IC filters fall into two categories: continuous time and switched capacitor.

                        Continuous time filters use a number of op-amp circuits within the IC, and often
                        integrating resistors and capacitors  too. The filter response is  selected by  the
                        addition of further resistors or capacitors around the IC. Continuous time filters
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