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Unformatted text preview: 1 1 Class as usual, 10/25/2010 (Monday) and 10/29/2010 (Friday) HW #9 is due 10/29/2010 (Friday) No class , 10/27/2010, (Wednesday) Test #2 Oct. 26, 2010, Tuesday, 6:30 - 7:30 PM, PHYS 112 No calculator, no electronic device and no formula sheet Tables 12.1 and 12.2 will be handed out with the test. Material covered: Up to and include Lecture 25 (today’s lecture) Ch. 14, 15, 16 and 19, HW # 5, 6, 7, 8 and 9 A seating chart will be posted in 202 Help Room (MSEE 180) and on my office door (MSEE 262) by 10/26/2010 noon. You have to sit in the assigned seat. Pictures will be taken during the test. Bring PU ID or Photo ID 8 to 12 MC questions and 1 to 2 WO questions. Turn in the scantron sheet and the test packet. 2 Summary of Lecture #25 10/22/2010 • Realization of LP filters • Transformation from LP to HP, BP and BR • Prototype circuit with • 1 rad/s • 1-ohm impedance level • rate of roll off • Frequency and magnitude scaling • Examples, by coefficient matching 3 Low pass filters ϖ p or f p : Pass band edge freq. ϖ s or f s : Stop band edge freq. High pass filters ϖ p or f p : Pass band edge freq. ϖ s or f s : Stop band edge freq. Pass band Stop band Stop band Pass band Transmission Transmission 4 Band pass filters Pass band edge frequencies: ϖ p1 (or f p1 ) and ϖ p2 (or f p2 ) Band rejection filters Stop band edge frequencies : ϖ s1 ( or f s1 ) and ϖ s2 (or f s2 ) Transmission Transmission 5 Brick wall specification for LP filters ϖ p : Pass band edge frequency Minimum transmission |H(j ϖ ) | in the pass band ϖ s : Stop band edge frequency Maximum transmission |H(j ϖ )| in the stop band Half power point |H| pb min |H| sb max Pass band Stop band Transition band max c | ) j ( H | 2 1 | ) j ( H | ϖ = ϖ Cutoff frequency: ϖ c Transmission 6 Low pass filters • Ideal specification of LP filters • Brick wall specification • |H(j ϖ )| = 1 for ϖ ϖϖ < ϖ p • |H(j ϖ )| = 0 for ϖ ϖϖ > ϖ p • Realization or approximation • Butterworth low pass transfer characteristic • (maximum flat in pass band) • Chebyshev low pass transfer characteristic • (equal ripples in pass band) • Inverse Chebyshev low pass transfer characteristic...
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- Spring '06
- Band-pass filter, Low-pass filter, Ωp, pass band, band edge