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[null,"Equalizer with complex poles and zeros",{"$nulls":8},"© LINKWITZ LAB - 26 October 2000"]
[null,"Enter your own values for the numbers in bold typeface"]
[null,"Values are in Hz, kOhm and nF"]
[]
[null,"Measure f0, Q0 using < f0Q0.gif > ",{"$nulls":3},"1) Specify:",null,null,"3b) Calculated poles & zeros",{"$nulls":3},"4b) Calculated poles & zeros"]
[null,"Choose target for  fp, Qp",{"$nulls":3},"f0 =",72," ","f0",{"v":73.41270095716735,"d":"73"},null,null,"f0",{"v":73.32987841370137,"d":"73"}]
[{"$nulls":5},"Q0 =",2.1,null,"Q0",{"v":1.8720194968118609,"d":"1.87"},null,null,"Q0",{"v":2.1397134406994103,"d":"2.14"}]
[null,"Component layout",{"$nulls":3},"fp =",20," ","fp",{"v":21.187460513536355,"d":"21"},null,null,"fp",{"v":21.163442076594798,"d":"21"}]
[null,"R2 ----- C2",null,"R2 ----- C2",null,"Qp =",0.7,null,"Qp",{"v":0.648007236532329,"d":"0.65"},null,null,"Qp",{"v":0.7281515922899118,"d":"0.73"}]
[null,"R1 ----- R1",null,"R3 ----- R3",null,"C2 =",{"v":100,"d":"100.0"}," ","fp1",{"v":31.83098861837907,"d":"32"},null,null,"fp1",{"v":28.3143467518049,"d":"28"}]
[null,"        C1",null,"        C3",{"$nulls":4},"fz1",{"v":32.0812221511581,"d":"32"},"= fp1 ??",null,"fz1",{"v":28.568469411576974,"d":"29"},"= fp1 ??"]
[{"$nulls":8},"Adc [dB]",{"v":21.58769186033234,"d":"21.6"},null,null,"Adc [dB]",{"v":21.587786441038208,"d":"21.6"}]
[null,"For realizability with the given"]
[null,"circuit k must be positive.",{"$nulls":3},"2b) Multiply calculated",{"$nulls":3},"Find the optimum standard value combination "]
[{"$nulls":5},"values by M to change",{"$nulls":3},"that approximates the specified poles and zeros"]
[null,"2a) Calculated values",{"$nulls":3},"impedance level"]
[null,null,"k > 0  ??",{"v":0.22040816326530593,"d":"0.22"},null,"Select M =",2.32,null,"3a) Select standard values",{"$nulls":3},"4a) Select standard values"]
[null,null,"R1",{"v":4.312541038195481,"d":"4.31"},null,"R1",{"v":10.005095208613515,"d":"10.01"},null,"R1 =",{"v":10,"d":"10.00"},"kOhm",null,"R1 =",5.11,"kOhm"]
[null,null,"R2",{"v":1.901038498469843,"d":"1.90"},null,"R2",{"v":4.4104093164500355,"d":"4.41"},null,"R2 =",4.64,"kOhm",null,"R2 =",2.15,"kOhm"]
[null,null,"R3",{"v":55.890531855013435,"d":"55.89"},null,"R3",{"v":129.66603390363116,"d":"129.67"},null,"R3 =",{"v":121,"d":"121.00"},"kOhm",null,"R3 =",{"v":61.9,"d":"61.90"},"kOhm"]
[null,null,"C1",{"v":2627.29469387755,"d":"2627.3"},null,"C1",{"v":1132.4546094299785,"d":"1132.5"},null,"C1 =",{"v":1000,"d":"1000.0"},"nF",null,"C1 =",{"v":2200,"d":"2200.0"},"nF"]
[null,null,"C3",{"v":202.72335600907024,"d":"202.7"},null,"C3",{"v":87.38075690046132,"d":"87.4"},null,"C3 =",{"v":82,"d":"82.0"},"nF",null,"C3 =",{"v":180,"d":"180.0"},"nF"]
[null,null,"C2",{"v":100,"d":"100.0"},null,"C2",{"v":43.10344827586207,"d":"43.1"},null,"C2 =",{"v":47,"d":"47.0"},"nF",null,"C2 =",{"v":82,"d":"82.0"},"nF"]
[null,null,"Adc [dB]",{"v":22.25210003069149,"d":"22.3"}]
[]
[null,"Formulas used are those from < f0Q0fpQp.gif >. "]
[]
[]
[null,"The equalizer cancels the original complex poles with zeros"]
[null," (f0, Q0) and adds a new pair of complex poles (fp, Qp) to"]
[null," obtain a targeted 2nd order highpass filter response."]
[]
[{"$nulls":3},"f0, Q0",null,"fp, Qp"]
[null,"Frequency",null,"Original",null,"Target",null,"Equalizer"]
[null,"Hz",null,"dB",null,"dB","dB"]
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[null,{"v":12.599210498948732,"d":"13"},null,{"v":-30.0414100743838,"d":"-30.0"},null,{"v":-8.722993568333079,"d":"-8.7"},{"v":21.318416506050724,"d":"21.3"}]
[null,{"v":15.874010519681995,"d":"16"},null,{"v":-25.885588524685584,"d":"-25.9"},null,{"v":-5.544448172380526,"d":"-5.5"},{"v":20.341140352305057,"d":"20.3"}]
[null,20,null,{"v":-21.64294476466125,"d":"-21.6"},null,{"v":-3.0980391997148637,"d":"-3.1"},{"v":18.544905564946387,"d":"18.5"}]
[null,{"v":25.198420997897465,"d":"25"},null,{"v":-17.25734783654154,"d":"-17.3"},null,{"v":-1.5307148968607773,"d":"-1.5"},{"v":15.726632939680764,"d":"15.7"}]
[null,{"v":31.74802103936399,"d":"32"},null,{"v":-12.632143365774008,"d":"-12.6"},null,{"v":-0.6955270172935819,"d":"-0.7"},{"v":11.936616348480426,"d":"11.9"}]
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[null,{"v":50.39684199579493,"d":"50"},null,{"v":-1.8939464605676752,"d":"-1.9"},null,{"v":-0.13356090516202457,"d":"-0.1"},{"v":1.7603855554056507,"d":"1.8"}]
[null,{"v":63.49604207872798,"d":"63"},null,{"v":4.280093105636595,"d":"4.3"},null,{"v":-0.059919643237098086,"d":"-0.1"},{"v":-4.3400127488736935,"d":"-4.3"}]
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