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Chapter 11 Analog and Digital Filters2. The op amp circuit below is a VCVS second−order band−pass filter whose transfer function isGs ( )V out ( s)= ----------------- =V in ( s)----------------------------------------KBW [ ]ss 22+ [ BW]s + ω 0v inR 1R 4R 5R 3C 2R 2C 1v outLet ω 0 = center frequency, ω 2 = upper cutoff frequency, ω 1 = lower cutoff frequency,Bandwidth BW = ω 2 – ω 1 , and Quality Factor Q = ω 0 ⁄ BWto achieve the desired centered fre-We can calculate the values of C 1 , C 2 , R 1 , R 2 , R 3 , and R 4quency and bandwidth BW. For this circuit,ω 0Using these relations, compute the appropriate values of the resistors to achieve center frequency= 1 KHz, Gain K = 10, and Q = 10.f 0Choose the capacitors as C 1 = C 2 = 0.1 µF . Plot Gs ( ) versus frequency.Solution using MATLAB is highly recommended.R 1R 22Q= ----------------C 1 ω 0 K2Q= --------------------------------------------------------------------------⎧C 1 ω 0 ⎨– 1 + ( K – 1) 2 + 8Q 2 ⎫⎬⎩⎭1R 3------------1 1= ⎛-----+ ----- ⎞⎝ ⎠C 12 ω02R 1R 4 = R 5 = 2R 3R 211−92Signals and Systems with MATLAB ® Computing and Simulink ® Modeling, Fourth EditionCopyright © Orchard Publications