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[]
[null,"Equalizer with complex poles and zeros",{"$nulls":8},"© LINKWITZ LAB - 27 July 2006"]
[null,"Enter your own values for the numbers in bold typeface"]
[null,"Values are in Hz, kOhm and nF"]
[]
[null,"Measure f0, Q0 using < f0Q0.gif > ",{"$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 =",60," ","f0",{"v":59.60399460264797,"d":"60"},null,null,"f0",{"v":59.313545284764764,"d":"59"}]
[{"$nulls":5},"Q0 =",0.75,null,"Q0",{"v":0.7376259625866679,"d":"0.74"},null,null,"Q0",{"v":0.7412380035910905,"d":"0.74"}]
[null,"Component layout",{"$nulls":3},"fp =",100," ","fp",{"v":102.26473324959441,"d":"102"},null,null,"fp",{"v":102.26473324959441,"d":"102"}]
[null,"R2 ----- C2",null,"R2 ----- C2",null,"Qp =",0.7,null,"Qp",{"v":0.6719789776942373,"d":"0.67"},null,null,"Qp",{"v":0.6719789776942373,"d":"0.67"}]
[null,"R1 ----- R1",null,"R3 ----- R3",null,"C2 =",{"v":100,"d":"100.0"}," ","fp1",{"v":44.64374280277569,"d":"45"},null,null,"fp1",{"v":44.20970641441537,"d":"44"}]
[null,"        C1",null,"        C3",{"$nulls":4},"fz1",{"v":45.73417904939522,"d":"46"},"= fp1 ??",null,"fz1",{"v":45.73417904939522,"d":"46"},"= fp1 ??"]
[{"$nulls":8},"Adc [dB]",{"v":-9.378020925894454,"d":"-9.4"},null,null,"Adc [dB]",{"v":-9.462880257482507,"d":"-9.5"}]
[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",{"$nulls":3},"impedance level"]
[null,null,"k > 0  ??",{"v":0.7919999999999998,"d":"0.79"},null,"Select M =",1.01,null,"3a) Select standard values",{"$nulls":3},"4a) Select standard values"]
[null,null,"R1",{"v":9.868238038932004,"d":"9.87"},null,"R1",{"v":9.966920419321324,"d":"9.97"},null,"R1 =",{"v":10,"d":"10.00"},"kOhm",null,"R1 =",{"v":10,"d":"10.00"},"kOhm"]
[null,null,"R2",{"v":15.63128905366829,"d":"15.63"},null,"R2",{"v":15.787601944204972,"d":"15.79"},null,"R2 =",{"v":16.2,"d":"16.20"},"kOhm",null,"R2 =",{"v":16.2,"d":"16.20"},"kOhm"]
[null,null,"R3",{"v":3.5525656940155215,"d":"3.55"},null,"R3",{"v":3.588091350955677,"d":"3.59"},null,"R3 =",3.48,"kOhm",null,"R3 =",3.48,"kOhm"]
[null,null,"C1",{"v":722.5343999999999,"d":"722.5"},null,"C1",{"v":715.3805940594058,"d":"715.4"},null,"C1 =",{"v":713,"d":"713.0"},"nF",null,"C1 =",{"v":720,"d":"720.0"},"nF"]
[null,null,"C3",{"v":2007.04,"d":"2007.0"},null,"C3",{"v":1987.1683168316831,"d":"1987.2"},null,"C3 =",{"v":2000,"d":"2000.0"},"nF",null,"C3 =",{"v":2000,"d":"2000.0"},"nF"]
[null,null,"C2",{"v":100,"d":"100.0"},null,"C2",{"v":99.00990099009901,"d":"99.0"},null,"C2 =",{"v":100,"d":"100.0"},"nF",null,"C2 =",{"v":100,"d":"100.0"},"nF"]
[null,null,"Adc [dB]",{"v":-8.873949984654256,"d":"-8.9"},{"$nulls":9}," "]
[]
[null,"Formulas used are those from < f0Q0fpQp.gif >. "]
[]
[]
[null,"The equalizer cancels the original complex poles with zeros"]
[null," (f0, Q0) and adds a new pair of complex poles (fp, Qp) to"]
[null," obtain a targeted 2nd order highpass filter response."]
[]
[{"$nulls":3},"f0, Q0",null,"fp, Qp",null,null,"Measured"]
[null,"Frequency",null,"Original",null,"Target",null,"Equalizer","response"]
[null,"Hz",null,"dB",null,"dB","dB",null,"dB"]
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[null,{"v":15.874010519681995,"d":"16"},null,{"v":-23.05206024129334,"d":"-23.1"},null,{"v":-31.97975179401052,"d":"-32.0"},{"v":-8.927691552717182,"d":"-8.9"},null,-27]
[null,20,null,{"v":-19.030899869919434,"d":"-19.0"},null,{"v":-27.972816764103847,"d":"-28.0"},{"v":-8.941916894184413,"d":"-8.9"},null,-19]
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