ECE 20200 - Linear Circuit Analysis II
Course Details
Lecture Hours: 3 Credits: 3
Counts as:
- EE Core
- CMPE Core
Normally Offered:
Each Fall, Spring, Summer
Requisites:
ECE 20100 Minimum Grade of C and (MA 26200 [may be taken concurrently] or MA 26600 [may be taken concurrently] or MA 366 [may be taken concurrently]).
Requisites by Topic:
Prerequisites: Elementary linear circuit analysis including dc, transient, and phasor techniques. Concurrent Prerequisites: Differential equations.
Catalog Description:
Continuation of ECE 20100. Use of Laplace Transform techniques to analyze linear circuits with and without initial conditions. Characterization of circuits based upon impedance, admittance, and transfer function parameters. Determination of frequency response via analysis of poles and zeroes in the complex plane. Relationship between the transfer function and the impulse response of a circuit. Use of continuous time convolution to determine time domain responses. Properties and practical uses of resonant circuits and transformers. Input - output characterization of a circuit as a two-port. Low and high-pass filter design.
Required Text(s):
- Linear Circuit Analysis; The Time Domain, Phasor and Laplace Transform Approach , 3rd Edition , DeCarlo & Lin , Kendall Hunt , 2009 , ISBN No. 9780757564994
Recommended Text(s):
- Linear Circuit Analysis - Vol. 1 & 2 , R. DeCarlo and P. M. Lin , Oxford University Press , ISBN No. 0195152530
- MatLab: Student Version , Current Edition , The MathWorks, Inc.
Learning Outcomes:
- an ability to compute impedances and admittances of components and circuits. [1]
- an ability to compute responses of linear circuits with and without initial conditions via one-sided Laplace transform techniques. [1]
- an ability to compute responses to linear circuits using transfer function and convolution techniques. [1]
- an ability to analyze and compute responses of linear circuits containing mutually coupled inductors and ideal transformers in the s-domain. [1]
- an ability to analyze basic two port circuits using the various types of two port parameters and be able to construct such parameters from a given circuit. [1]
- an ability to analyze and design basic LP, BP, HP and resonant circuits in the s-domain. [1]
Lecture Outline:
Period | Topic |
---|---|
1 | Laplace Transforms: Signals, Definition, Simple transforms |
2 | Laplace transform; transforms of basic signals |
3 | Inverse transform, partial fraction expansion |
4 | Basic properties of the Laplace transform |
5 | Solution of integral-differential equations |
6 | Impedance Z(s) and Admittance Y(s) |
7 | Transfer function H(s) |
8 | Equivalent circuits for L and C with initial conditions |
9 | Nodal and mesh analyses in the s-domain |
10 | Switching in linear circuits |
11 | Switched capacitor circuits |
12 | Exam #1 |
13 | H(s), poles, zeroes, s-plane plot and stability |
14 | Decomposition of the complete response |
15 | Sinusoidal steady state analysis |
16 | Frequency response H(jw) |
17 | Frequency and magnitude scaling |
18 | Impulse response h(t): step response, initial/final value theorems |
19 | Time Domain Convolution: definition & integral evaluation |
20 | Graphical convolution |
21 | Convolution algebra |
22 | Basic Band Pass Transfer Functions/Circuits |
23 | Exam #2 |
24 | BP TF cont. & Approx. Analysis of Practical BP Circuits |
25 | Approximate Analysis continued |
26 | Resonance and Applications |
27 | LP Filter Basics, Butterworth Approximation |
28 | Butterworth Approx. Cont., Passive Realization |
29 | LP Butterworth Active Realization |
30 | HP Basics & Passive Realization |
31 | Biquad Realization of General 2nd Order H(s)/HP Active Realization |
32 | Active Realization Continued |
33 | Mutual Inductance: dot convention and diff eq model |
34 | Mutual Inductance: s-domain models & applications |
35 | Coefficient of Coupling: stored energy |
36 | Ideal Transformer |
37 | Exam #3 |
38 | Coupled inductors modeled with ideal transformers |
39 | One port networks |
40 | Two ports: y-parameters |
41 | z-parameters |
42 | h-parameters, t-parameters |
43 | Interconnection of 2-Ports |
44 | Indefinite Admittance Matrix |
Final Exam |
Assessment Method:
none