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Filter Design



            304  Chapter Six

                        6. SAW filters can have odd or even harmonic spurious responses. These spu-
                           rious responses will degrade the SAW’s stopband attenuation.
                        7. SAWs can have high time delays through the filter structure of up to 1
s or
                           more, which are problematic in certain circuits.

                          SAWs do, however, have a few features that are hard to beat by any other
                        filter type: They have as close to a brickwall filter response as can be obtained
                        today, are physically small, do not need to be tuned, and are low cost when
                        purchased in huge quantities.


            6.5 Active Filters
            6.5.1 Introduction
                        Active filters typically use an operational amplifier and an RC filter network
                        to obtain low-pass, high-pass, and bandpass responses at low frequencies.
                          Passive RC networks themselves can be employed alone as a simple, non-
                        resonant filter for certain audio applications, and can be utilized to attenuate
                        RF, while passing only DC and the low-frequency AC. As an example, the
                        basic RC filter of Fig. 6.52a works as a low-pass filter by a voltage divider
                        action: The capacitor C will have a low reactance to higher frequencies, while
                        the resistor is chosen to be of such a value as to be of a significantly higher
                        resistance to higher frequencies than  C. Thus, high-frequency signals are
                        dropped across R, while little RF will be dropped across C. However, with lower
                        frequencies, the reactance of C is higher than the resistance of R, so the low
                        frequencies get dropped across C, and are then tapped from the output with
                        low attenuation.
                          Reversing the resistor with the capacitor will create the opposite effect, pro-
                        ducing a high-pass filter (Fig. 6.52b). Thus, any low frequencies will now be
                        dropped across the high reactance of C, but not across the lower resistance of
                        R. Higher frequencies will easily pass through the lower reactance of C, but be
                        dropped across the higher resistance of R. Since the output is across R, a high-
                        pass filter has now been formed.
                          A sharper filter response curve, along with an insertion gain instead of a
                        loss, and filter buffering from the effects of the load, can be obtained if we
                        insert a high-gain amplifier, such as an op-amp, within the above RC filter.












                        Figure 6.52 (a) A basic RC low-pass filter; (b) a basic RC high-
                        pass filter.


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