Elements of Electrical Engr II
Elements of Electrical Engr II ECE 207
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This 8 page Class Notes was uploaded by Dr. Reina Hane on Monday October 19, 2015. The Class Notes belongs to ECE 207 at Rose-Hulman Institute of Technology taught by Staff in Fall. Since its upload, it has received 60 views. For similar materials see /class/225088/ece-207-rose-hulman-institute-of-technology in Electrical Engineering & Computer Science at Rose-Hulman Institute of Technology.
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Date Created: 10/19/15
SIGNAL CONDITIONING FILTERING Frequency Response The frequency response ofa circuit is its steadystate response to a sinusoidal input as the frequency of the sinusoidal input varies Vi Vizei and V0 V0490 Recall in Laplace analysis the transfer function is obtained by taking the ratio between the output and input The system39s frequency response can be found by substituting joa for s TFs joa TerTF The relationship between input and output is V0490 TFZGTF Vizei A circuit39s frequency response is a phasor relationship involving magnitude and phase 1 The magnitude response is the ratio of output and input magnitudes TF is a function Ofoa 2 The phase response is the phase shift between input and output That is GTF 60 ei GTF is a function Ofoa OUR IN TERES TIN FIL TERING IS US UALL Y CONFINED TO THE MAGNITUDE RESPONSE lecture 14 outline Fwd the frequency response of tms system 85 Vtltsgt D 25 2 vy 4 Vets The nodat equauons read Detmecontrotyanabte yx y r y nodat equauons yottagesource equauon y y y y KCLatnodeZ y y2 0 2s 4 UseMaptetotmd Va5 TF5V 5 gt restart gt e ns M ytt gt v27v158v2252v1 yam40 gt som sotyeteqnstyt m gt asstgr so n gtyo y2 gtTFvovy 5516 TF w s2 418s Tms ts the system transfermncuon To obtam the system frequency response substttutem for s 1mm 14 outlme 143 Filtering Filters are frequency selective systems In filtering the magnitude response is often of most interest Looking at the filter as an inputoutput relation filters are classified by how the input and output magnitudes are related at different frequencies We ll use four types of filters lowpass highpass bandpass and bandreject Another way to categorize filters is to classify them passive or active Passive filters consist solely of passive components R s C s L s transformers etc Passive filters receive energy only from the input Active filters also use active components such as transistors or opamps Active filters can provide a gain gt1 They receive energy from the input and from external power supplies Passive Low Pass Low pass filters pass low frequencies from input to outputand attenuate high frequencies ViUw C jlmC 39 V00 The capacitance impedance decreases at high frequencies By voltage division VONW will go down as well lecture 14 uutlme Active Low Pass This lowpass filter has a break j DC frequency in rads of 1RfC and a dc gain of RfRm Rf There is also inversion since Rin this is the inverting configuration V5 V0 Passive High Pass High pass filters pass high frequencies from jfC input to output and attenuate low frequencies quot The capacitance impedance increases at low V frequencies By voltage division Von will V39Gm R 00m decrease at low frequencies lecture I 4 Butlmz lecture 14 outline Active High Pass quotU as This highpass filter has a break frequency in rads of 1RWC and a high frequency gain of RfRm Rin 176 C There is also inversion since this is the inverting configuration sive Band Pass Band pass filters only pass a band of frequencies from input to output jugtC The capacitance39s impedance grows large at low frequency and the inductance39s impedance grows large at high frequency By voltage division VONW will grow small at high or low frequencies Vijm V0003 ij The peak amplitude of the transferfunction is 1 at a 1JLC lecture 14 uutlme lecture 14 outline 148 Active Band Pass 4me Find the transfer function of this circuit 7 3 39Jmcin VS Va lecture 14 uutlme