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RC4156M Datasheet(PDF) 9 Page - Fairchild Semiconductor |
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RC4156M Datasheet(HTML) 9 Page - Fairchild Semiconductor |
9 / 13 page RC4156/RC4157 PRODUCT SPECIFICATION REV. 1.0.1 6/13/01 9 Figure 16. Bandpass Active Filter These equations can be combined to obtain the transfer function: and 65-0752 Set Center Frequency C1 1000 pF RC4156/57 B VBP R2 R1 C2 1000 pF RC4156/57 C R6 100K RC4156/57 A R4 10K R5 100K R3 R7 V Trim Gain and Q IN 3 2 1 5 6 7 10 9 8 V BP s () 1 R1C1S ------------------V HP s () – = V LP s () 1 R2C2S ------------------V BP s () – = V BP s () V IN s () ------------------ R4 R3 ------- 1 R1C1 ---------------S ⋅ S 2 R7 R6 R7 + --------------------- 1 R4 R5 ------- R4 R3 ------- ++ 1 R1C1 --------------- S R4 R5 ------- 1 R1C1R2C2 ------------------------------ ++ ------------------------------------------------------------------------------------------------------------------------------------------------------- = Defining 1/R1C1 as ω1, 1/R2C2 as ω2, and substituting in the assigned values for R4, R5, and R6, then the transfer function simplifies to: This is now in a convenient form to look at the center- frequency ω0 and filter Q. and The frequency responses for various values of Q are shown in Figure 17. V BP s () V IN s () ------------------ 10 4 R3 -------- ω 1s ⋅ S 2 1.1 10 4 R3 -------- + 1 10 5 R7 -------- + ---------------------- ω 1s 1 ω 1ω2 ------------- ++ ---------------------------------------------------------------------- = ω 0 0.1 ω 1ω2 = ω 0 10 9 – 0.1R1R2 = Q 1 10 5 R7 -------- + 1.1 10 4 R3 -------- + ---------------------- ω 0 = Figure 17. Bandpass Transfer Characteristics Normalized for Unity Gain and Frequency 0 -10 -20 -30 -40 -50 -60 0.1 1.0 10 Q = 0.5 Q = 1.0 Q = 2.0 Q = 5.0 Q = 10 Q = 20 Q = 50 Q = 100 ω ωo ω ωo 1 Q V V = 1 - + 2 2 2 ω ωo 1 Q ω ωo BP IN |
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