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LTC1064AMJ Datasheet(PDF) 10 Page - Linear Technology |
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LTC1064AMJ Datasheet(HTML) 10 Page - Linear Technology |
10 / 20 page LTC1064 10 1064fb fO = 1 + ; fn = ; HOHP f→ = HON(f = fO) = Q HOLP – HOHP ; Q = 1064 F09Eq fO = ; fn = ; HOHP = ; HOBP = fCLK 100 R2 R4 RH RL MODE 3a (100:1): NOTE: THE 50:1 EQUATIONS FOR MODE 3A ARE DIFFERENT FROM THE EQUATIONS FOR MODE 3A OPERATION OF THE LTC1059, LTC1060 AND LTC1061. START WITH fO, CALCULATE R2/R4, SET R4; FROM THE Q VALUE, CALCULATE R3: √ R2 R4 √ √ fCLK 100 R2 R4 R3 = ; THEN CALCULATE R1 TO SET THE DESIRED GAIN. + R2 1.005 Q √ R2 16R4 R2 R1 – R2 R3 R2 16R4 R2 R4 1.005 √ – R3 R1 HOBP = – ; HOLP(f = 0) = Q = R3 16R4 1 – R4 R1 – ; R3 R1 – ; R3 R2 R4 R1 fCLK 2 () ()() ()( ) RH RL √ R2 R4 √ fCLK 50 fCLK 50 MODE 3a (50:1): R2 R1 – ; fCLK 2 () () HOLP = – ; HON1(f→ 0) = ; HON2 f→ = ; R4 R1 R2 R1 RG RL RG RL RG RH RG RH – + ∫ ∫ LP + Σ AGND HP S 1/4 LTC1064 – BP R1 R2 VIN R3 R4 1064 F09 CC RL RH RG NOTCH EXTERNAL OP AMP OR INPUT OP AMP OF THE LTC1064, SIDE A, B, C, D – + 1064 F08Eq fO = 1 + ; fn = ; Q = 1 + ; HOLP = – ; fCLK 100 R2 R4 R3 R2 MODE 2 (100:1): NOTE: THE 50:1 EQUATIONS FOR MODE 2 ARE DIFFERENT FROM THE EQUATIONS FOR MODE 2 OPERATION OF THE LTC1059, LTC1060 AND LTC1061. START WITH fO, CALCULATE R2/R4, SET R4; FROM THE Q VALUE, CALCULATE R3: √ R2 R4 √ R2 R4 √ fO = 1 + ; fn = ; Q = ; HOLP = – ; fCLK 50 fCLK 50 fCLK 50 MODE 2 (50:1): R2 R3 R2 16R4 R2 R4 1.005 1 + √ – R3 R1 HOBP = – ; HON1(f→ 0) = – ; HON2 = f→ = R3 16R4 1 – R2 R4 R3 = ; THEN CALCULATE R1 TO SET THE DESIRED GAIN. 1 + + R2 1.005 Q √ R2 16R4 R2 R1 R2 R4 1 + R2 R1 – R2 R1 R2 R4 1 + R2 R1 R2 R4 1 + fCLK 2 () fCLK 2 () HOBP = – ; HON1(f→ 0) = – ; HON2 f→ = – R3 R1 R2 R1 R2 R1 R2 R4 1 + – + ∫ ∫ LP 1064 F08 + Σ AGND NS 1/4 LTC1064 – R1 R2 VIN R3 R4 BP ODES OF OPERATIO Figure 8. Mode 2: 2nd Order Filter Providing Notch, Bandpass and Lowpass Mode 3a This is an extension of Mode 3 where the highpass and lowpass outputs are summed through two external resis- tors RH and RL to create a notch. This is shown in Figure 9. Mode 3a is more versatile than Mode 2 because the notch frequency can be higher or lower than the center fre- quency of the 2nd order section. The external op amp of Figure 9 is not always required. When cascading the sections of the LTC1064, the highpass and lowpass outputs can be summed directly into the inverting input of the next section. The topology of Mode 3a is useful for elliptic highpass and notch filters with clock-to-cutoff frequency ratios higher than 100:1. This is often required to extend the allowed input signal frequency range and to avoid premature aliasing. When the internal clock-to-center frequency ratio is set at 50:1, the design equations for Q and bandpass gain are different from the 100:1 case. Figure 9. Mode 3a: 2nd Order Filter Providing Highpass, Bandpass, Lowpass and Notch |
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