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LTC1562C Datasheet(PDF) 11 Page - Linear Technology |
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LTC1562C Datasheet(HTML) 11 Page - Linear Technology |
11 / 28 page 11 LTC1562 APPLICATIONS INFORMATION external component ZIN, usually a resistor or capacitor. This component must of course be rated to sustain the magnitude of voltage imposed on it. Lowpass “T” Input Circuit The virtual ground INV input in the Operational Filter block provides a means for adding an “extra” lowpass pole to any resistor-input application (such as the basic lowpass, Figure 5, or bandpass, Figure 6a). The resistor that would otherwise form ZIN is split into two parts and a capacitor to ground added, forming an R-C-R “T” network (Figure 9). This adds an extra, independent real pole at a fre- quency: f RC P PT = π 1 2 where CT is the new external capacitor and RP is the parallel combination of the two input resistors RINA and RINB. This pair of resistors must normally have a pre- scribed series total value RIN to set the filter’s gain as described above. The parallel value RP can however be set arbitrarily (to RIN/4 or less) which allows choosing a convenient standard capacitor value for CT and fine tuning the new pole with RP. INV V1 2nd ORDER 1/4 LTC1562 V2 1562 F09 R2 RQ RINB RINA CT VIN Figure 9. Lowpass “T” Input Circuit The procedure therefore is to begin with the target extra pole frequency fP. Determine the series value RIN from the gain requirement. Select a capacitor value CT such that RP = 1/(2 πfPCT) is no greater than RIN/4, and then choose RINA and RINB that will simultaneously have the parallel value RP and the series value RIN. Such RINA and RINB can be found directly from the expression: 1 2 1 2 4 2 RR R R IN IN IN P ± () – A practical limitation of this technique is that the CT capaci- tor values that tend to be required (hundreds or thousands of pF) can destabilize the op amp in Figure 3 if RINB is too small, leading to AC errors such as Q enhancement. For this reason, when RINA and RINB are unequal, preferably the larger of the two should be placed in the RINB position. Highpass “T” Input Circuit A method similar to the preceding technique adds an “extra” highpass pole to any capacitor-input application (such as the bandpass of Figure 6b or the highpass of Figure 7). This method splits the input capacitance CIN into two series parts CINA and CINB, with a resistor RT to ground between them (Figure 10). This adds an extra 1st order highpass corner with a zero at DC and a pole at the frequency: f RC P TP = π 1 2 where CP = CINA + CINB is the parallel combination of the two capacitors. At the same time, the total series capaci- tance CIN will control the filter’s gain parameter (HH in Basic Highpass). For a given series value CIN, the parallel value CP can still be set arbitrarily (to 4CIN or greater). Figure 10. Highpass “T” Input Circuit INV V1 2nd ORDER 1/4 LTC1562 V2 1562 F10 R2 RQ CINB RT VIN CINA The procedure then is to begin with the target corner (pole) frequency fP. Determine the series value CIN from the gain requirement (for example, CIN =HH(159pF)forahighpass). Select a resistor value RT such that CP = 1/(2πRTfP) is at least 4CIN, and select CINAand CINBthat will simultaneously have the parallel value CP and the series value CIN. Such CINA and CINB can be found directly from the expression: 1 2 1 2 4 2 CC C C P P IN P ± () – |
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