Fall 2007 - 2.613s 1 o J Use a bilinear transformation(from...

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EStr 337 Exarn IV Fall . 2007 Name ID 'o' 1. Design a type I FIR filter of order 2 to least-square match the ideal liigh- passfilter H,t(r) * D(-')e-r' q'ith f O f o r 0 ( * ' ( 1 D ( ; ) - { i r o r r ; S r S , at e,-t - 0, 1.2.1'416, and n. (25 poirits)
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2. Design an analog Butterworth highpass filter of least degree to have pass- bald edge frequency 1800rad/s with tolerance 3 dB or less and stopband edge frequency600 rad/s with atteuuation 25 db or nore. (25 points) Butterworth prototype filters: s*1, s2+1.41'1s*1. s3 +2s2*2s*1, -sa + 2.613.s3 + 3.41,1s + 2.613s * 1,
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o J .
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Unformatted text preview: + 2.613s * 1, o J . Use a bilinear transformation (from a Butterrvorth prototl'pe) to design ar digital lo*.pass filter with 3-dB passband frequency 100 Hz and stopband edge frecluencl' 300 Hz with attenuation 20 dB or more. The sarupling frequency is 1000 Hz. (25 points) .1. Consider the digital filter ,I/(:) : Irnplenrent it in a canonical form (10 points). If it is to be implernented in cascade forur. allswer the follotving: No. of possible glouping -No. of possible pairing: No. of possible ordering-(5 points) hnplernent it using the best cascade fornr (10 points)...
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