Fall 2007 Solutions 1 2 4

Fall 2007 Solutions 1 2 4 - L 8 4 + 2.6138 3 + 3.4148 +...

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ESE 337 Exall1 IV FalL 2007 ID no. 1. Design a type I FIR filter of order 2 to least-square match the ideal high- pass filter Hd(W) = D(u.:)e- jW with D{w) = { ~ for ° ~ .JJ ~ 1 for 1.5 ::; w ~ Jr at w = 0,1,2.1416, and Jr. (25 points) /113) ':: Ii {cJr II (.1.11-'1 ~[J.11- 2. I . '",,/ fI(~' J "If) ';:< A f h )) e J !1l w ) ,:d[t 7 ]'+ 4117 LJl t,'; f; I
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2. Design an analog But~orth highpass filter of least degree to haw pass- band edge frequency rad/s with tolerance 3 dB or less and stopband edge frequency 600 rad/s with attenuation 25 db or more. (25 points) Butterworth prototype filters: s + 1, S2 + 1.41.,1s + L 8 3 + 28 2 + 28 +
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Unformatted text preview: L 8 4 + 2.6138 3 + 3.4148 + 2.6138 + 1, :; /1/ -it.' f -IV =. U 31;~/ d I-'V' -)t:t--''l' ( --d f - R-liJ ! I ~ 6 -J ) .::::--:2 I ] ZJ -Jk/ (/~6") ~ - 3 II I . . ----:. ..--------jb/rp ;; f1'l> -;:;: -{. 4. Consider the digital filter H(:) = _ . ., (: + 1)(:2 +O.~) . . (: + 0.1 H:- + 0.3: + 0.8)(:- - 0.6: + O.\)) -0 .1 S~ ~ j ~. ~ g. C -$"!) 0 .b 11 Implement it in a canonical form (10 points). If it is to be implemented in cascade form. answer the following: :'\0. of possible grouping = J ~o. of possible pairing= 4-No. of possible ordering= 6 (5 points) Implement it using the best cascade form (10 points)...
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This note was uploaded on 02/24/2010 for the course ESE 337 taught by Professor Chi-tsongchen during the Fall '10 term at SUNY Stony Brook.

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Fall 2007 Solutions 1 2 4 - L 8 4 + 2.6138 3 + 3.4148 +...

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