Lesson+21 - Marketing vs Engineering May you live in...

Info icon This preview shows pages 1–12. Sign up to view the full content.

View Full Document Right Arrow Icon
Marketing vs. Engineering May you live in interesting times. (Chinese curse) 1 Lesson 21
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Challenge 20 Bode Plots (15.1) Active Filters (15:1-3) Chapter 15:1-2 Challenge 21 Lesson 21 2 Lesson 21
Image of page 2
Design a 2 nd order bandpass filter : such that: H(j0)=0; H(j )=0; Poles at s = -a j10 Zero=0. 0 What is the approximate frequency that maximizes the filter’s gain if a=1? ) ( ) )( ( ) ( 2 2 100 2 10 10 a as s s j a s j a s s s H Since 0 2 =101, 0 =10.05~10 r/s 0 2 3 Lesson 21
Image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
For a=1 , filter’s gain peaks at 0 ~10.05 r/s. >> w=0:0.1:100; >> b=[1 0]; a=[1 2 101]; >> freqs(b,a,w); ) ( ) )( ( ) ( 2 2 100 2 10 10 a as s s j a s j a s s s H What if |a|>>1? What if |a|<<1? 4 Lesson 21 ~10
Image of page 4
5 Lesson 21 ~14.1 ~10 a=10 0 2 =200 0 =14.1 a=0.1 0 2 =100.01 0 ~10
Image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
6 Lesson 21 Since the dawn of the time of engineers, when posed with a technical problem, immediately began to sketch a solution in the dirt. Engineering is, in part, a visual experience. In the absence of a digital computer, how would an engineer create the graphs shown below. Lesson 21
Image of page 6
A common means of displaying the frequency response of a filter is as a log-log ( Bode ) plot graph. What is a @#@$%%@ Bode representation? 7 Lesson 21
Image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
A Rapid Graphical Frequency Response Technique 1. Bode Plot (Old School) for manual plotting, or 2. Bode Plot for computer generated responses For manual use: Simple (additive) construction rules Approximation (only) Bode plot (text) – 560-563, 741-757 (Appendix E) 8 Lesson 21
Image of page 8
An amplitude “x” can be formally expressed in decibels (dB) as dB = 20 log10(x). dB = 20 log 10 (x) 10 -1 20 log 10 (10 -1 ) = -20dB 0.707 20 log 10 (0.707) = -3dB (half power point) 10 0 20 log 10 (10 0 ) = 0dB 10 1 20 log 10 (10 1 ) = 20dB Bel is a measure of power ratios. Invented by engineers of Bell Labs it was originally called the transmission unit or TU , but was renamed in the 1920’s in honor of the lab’s founder Alexander Graham Bell. The bel was found to be too large for everyday use, so the decibel (dB) ( 0.1 B ), became the standard. 9 Lesson 21 Alexander Graham Bell
Image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Assume that a circuit or system has been reduced to the mathematical form shown below (the form is important). In the frequency domain: 0 1 1 1 0 1 1 1 a s a s a s b s b s b s b s G n n n m m m m ... ... ) ( others j j j j K j G s G j s 1 2 1 1 1 2 1 1 ) ( ) ( others s s s s K s G 1 2 1 1 1 2 1 1 β β δ α ) ( 10 Lesson 21
Image of page 10
Interpretation: In its simplest form, the system is shown to be decomposed into four (4) basic cases.
Image of page 11

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 12
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern