ECEMME303 Lecture 2 Bode Plots

1
ECE/MME303 Lecture 2Bode Plots
2
Transfer Function Formalized
Input
Output
Linear Circuit H(?)
X(?)
Y(?)
3
Four Types of H(?)
4
Previous Examples

• Pick some problems from the textbook.
• Work out the analytic solution for the transfer
  function
• Sketch the magnitude and phase plots
• What conclusions can we draw from these examples?

5
Transfer Function Standard Form
Standard form
6
H(?) Standard Form Analysis
K Constant
(j?)?1 for 1, H(?) 0 at ?0 ? H(?) has a
zero at origin for -1, H(?) ? at ?0? H(?)
has a pole at origin
1j?/z1 H(?) has a zero
1j?/p1 H(?) has a pole
12j?1?/?k- (?/?k)2 H(?) has a quadratic zero
12j?2?/?n- (?/?n)2 H(?) has a quadratic pole
7
Bode Plot
H(?) has magnitude and phase
Bode Plots
8
Decibels dB
Definition
Power ratio
Voltage or current ratio
Benefits

• Compress number ranges.
• Transfer ? and ? operations into and -
  operations

9
Some Examples
Convert the following transfer function gain into
dB
10
HdB
11
(No Transcript)
12
Reading and Homework

• Todays coverage P618-620
• Next Lecture P620-630
• Homework 2
• Page 664, 14.6, 14.7, 14.8.
• Due Mon, 1/24