Question

Problem #4 Determine the center frequency and bandwidth of the bandpass filters 10 1F + =1F 11v 1H 122 + {12 11 v. (b) Extra Credit: Simulate Problem 4a using PSpice.

Answer 1

Solutin Ata) Giren Ciruut IF t Vos) IF TiT (b) TT S-d onain) equialent (freourary Time-domain ewalent)

eees Here and A dinder acros vetye VA)= ( St S225 Vs (3) VA) SH s23 S+ s42 VAts) (s'43t)

dirider atos Jreautr Volt) VA x1 . VA (St1) (1) Vawe Fmm e Swaitwe Th Vaue -x C Uc Vois) КрS Vots) 1 не) ( 6n ompaing Ha) +3s1 bard paa anidth wo cent eqven B = 3 radlcec the Where in ladlsee HadIsec

Gian Ciruit diaom- fix 4b) t TH Vo ranfom he ren ciruit model into doman- A M Voty

Here, in cees s'and VA t za)= (stI) VA 9) неg winge dinider atss st112) (S) I12) + VAI) VAA) S+2 SHs2 S+2 VAr) S (H5st

VA S+35t dirider acs AVAIS) Аpley wige S ls) 19 Vols) 11 X (2 + 33+1) Vots) (s31)

model uth the sardard the KBS Hu) d'+Rstw on (amparing Com Bandaidth B = 3radlsec ad/sea

C2 R1 Vo Vi 1 V1 1Vac С1 oVdc R2 1 0 Circuit simulation using PSPICE

Simulation Settings -bias X General Analysis Configuration Files Options Data Collection Probe Window Analysis tne AC Sweep Type Start Frequency 0.01 AC Sweep/Noise Linear End Frequency Logarithmic 1000 Options: VGeneral Settings |Monte Carlo/Worst Case |Parametric Sweep Decade Points/Decade. 1000 Noise Analysis |Temperature (Sweep) Save Bias Point |Load Bias Point Enabled Output Voltage: N Source Interval: Output File Options Include detailed bias point information for nonlinear controlled sources and semiconductors [.OP) Help ок Cancel Apply simulation settings А.С sweep

Date/Time run: 11/26/19 03:13:01 Temperature: 27.0 (A) bias.dat (active) 400m (159.221m, 333.333m) B.W 2 3.14*(fc2-fc1)= (0.52566-0.048188)*2*3.14 = 3 rad/sec 300m Center frequency (wo )-2*3.14 *fo = 2*3.14*0.1592 1 rad/sec fo 748.183m, 235.702m) (525.660m, 235.701m) 200m fc2 fci 100m 0. 10mHz 0V(Vo) v(Vi) 1.0KHZ 100mHz 1.0Hz 10HZ 100HZ Plot obtained using PSPICE