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Unformatted text preview: Lesson 37 – Filters II (Variant of Sections 121 thru 123) (Variant of CLO 121) This is the first of two lessons on filter analysis and design. The first focuses on firstorder LP and HP – both passive and active. The second focuses on BP and BR. Begin by writing the general transfer function of a firstorder circuit. H(j ϖ )=K/(j ϖ + α ). Then write the transfer function as both gain and phase functions. ( 29 α ϖ ∠ = ϖ ∠ α + ϖ = ϖ 1 2 2 and tan ) (    ) (  K j H K j H Compute the response of each for several values of ϖ and record them in a table. Plot the results. ϖ H(j ϖ ) ∠ H(j ϖ ) K/ α ∠ K 0.1 α 0.995 K/ α ∠ K5.7° α K/ α√ 2 ∠ K 45° 10 α 0.0995 K/ α ∠ K 84.3° ∞ ∠ K 90° It is so very important is for the students to understand what this plot (Bode plot) means. It is useful to return yet again to the block diagram below: If x(t) = X A cos ( ϖ A t+ θ ) then y SS (t) = X A H(j ϖ A ) cos ( ϖ A t+ θ + ∠ H(j ϖ A...
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This note was uploaded on 10/12/2010 for the course MAE 140 taught by Professor Mauriciodeoliveria during the Spring '08 term at UCSD.
 Spring '08
 MAURICIODEOLIVERIA

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