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LTC1064M Datasheet(PDF) 10 Page - Linear Technology |
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LTC1064M Datasheet(HTML) 10 Page - Linear Technology |
10 / 16 page 10 LTC1064 ODES OF OPERATIO – + ∫ ∫ LP 1064 F08 + Σ AGND NS 1/4 LTC1064 – R1 R2 VIN R3 R4 BP 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 frequency 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 out- puts 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. – + ∫ ∫ 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 – + Figure 9. Mode 3a: 2nd Order Filter Providing Highpass, Bandpass, Lowpass and Notch 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 + 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 √ fO = 1 + ; fn = ; HOHP f→ = fCLK 50 fCLK 50 MODE 3a (50:1): R2 R1 – ; fCLK 2 () () HOLP = – ; HON1(f→ 0) = ; HON2 f→ = ; HON(f = fO) = Q HOLP – HOHP ; Q = R4 R1 R2 R1 RG RL RG RL RG RH RG RH |
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