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Unformatted text preview: Lesson 37 – Filters II (Variant of Sections 12-1 thru 12-3) (Variant of CLO 12-1) This is the first of two lessons on filter analysis and design. The first focuses on first-order LP and HP – both passive and active. The second focuses on BP and BR. Begin by writing the general transfer function of a first-order 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 ∠ K-5.7° 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