notes_102008

notes_102008 - To solve for two break frequencies, we have...

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UNIVERSITY OF CALIFORNIA AT BERKELEY EECS Department 7) 6.40 (see 6.39 for reference) (12 pI) Now, assume that H,(f) and H,(f) are first order low pass filters (see 6.39 for their transfer functions) and that f1 = ,1 OMHz, What are the break frequencies for H,(f) and H,(f)? Draw the bode magnitude and phase plots for this cascaded low pass filter system, Hc(f), where Hc(f) = H,(f)H,(f)). Note that H,(f) and H,(f) have different break frequencies. -r::; ( -"-/-'n-Ar IHI(dB)=IH1 1(dB)+IH21(dB)=-30dB (3 pt)
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Unformatted text preview: To solve for two break frequencies, we have equation I ={J:;t ...L ~ r=::::(:::;;=~ l + j(fl /jBl ) (0 V{+(f,J~ I f j (fll / ~=~ 1. ~ Therefore We can get ViO ; fB l r Ji11---(3pt) fB2-~ . 3_M ~ (3pt) ( Graph (3pt) , -"l: -..::.-I (-1(-1. .(1-( ~ 10 t Page 8 of 12 UNIVERSITY OF CALIFORNIA AT BERKELEY EECS Departm ent -4 f. -6 -8 iii' :E--'0 ~ 'E '" ~ -' 2 :E -14 -' 6 -, 8 10"1 10' 10' '0 ' f (kHz) -10 -20 I W-30 -40 , ~ -50 , , , ~ -60 , , ,-70 , I -80 f B' , ---,,=--~-...
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notes_102008 - To solve for two break frequencies, we have...

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