Jacobs University Bremen
School of Engineering and Sciences
General Electrical Engineering II
(GenEE - II)
Lecture Notes
Course Number: 300102
Undergraduate Program in Electrical Engineering
Author: Prof. Dr. Giuseppe Abreu
June 19, 2015
Contents
Lesson 1

22_IntroductiontoLaplaceTransforms
Objective:
Motivate the need for Laplace Transforms
Revisit transients
Definition and examples
See also p.597 ff in Croft et al: Engineering Mathematics, really useful
introduction!
W. Bergholz GenEE2 Spring 2011
1
22

1
Mathematical Methods: Fourier Series
Fourier Series: The Basics
Fourier series are a method of representing periodic functions. It is a
very useful and powerful tool in many situations. It is suciently
useful that when some non-periodic problems arise t

12_FourierSeries
Objective:
Understand how Fourier Series can be used to model arbitrary
periodic functions
Make the connect to linear function spaces
Syllabus:
Periodic functions
Even and odd functions
Fourier series, function spaces and sinusoidal

09_AC power systems
Questions
Connection between AC power systems and
Connection between AC power systems and
Why high voltage transmission?
3.1 = 6.0 ?
AC and bitter fight between 2 Scientists in the 19th century ?
W. Bergholz GenEE2 Spring 2011
1
0

17_FourierTransformsinSignalProcessing
Objective:
Apply FT , convolution, etc. to signal processing
Fundamentals on noise and interference
Focus on noise reduction techniques: filtering
Signal processing
has 3 main areas of application (with just a fe

19_Fourier Transforms in Signal Processing 2
Objective:
Apply FT , convolution etc to signal processing
noise reduction signal averaging, a time domain filter
The ideal filter which does not exist and its nearest
realization: auto correlation
Introduc

16_correlation,energyandpowerspectraldensity
Objective:
Explain the importance of a relative to the convolution: The
correlation function
Cross correlation function between f and g
Auto correlation function
Elucidate the connection between autocorrela

12_FourierSeriesPart2
CASE STUDY:
Low pass with R=20 Ohm and C1=0.1F
Square wave, with Vm=100V, f=10Hz
Question: Output Vout is the voltage over the capacitor ?
Approach?
Prof. W. Bergholz GenEE2 Spring 2011
1
12_FourierSeriesPart2
Objective:
Apply Fou

14_Fourier Transforms
Case Study:
Measure the Acoustics of a concert hall, i.e. the transfer function H()
Problem 1: It will take time to complete the measurements for all frequencies
Problem 2: It has to be measured for many seats in the concert hall

23_Laplace Transforms Part 2
Objective:
Give more examples
Explain back transformation
W. Bergholz GEE2 Spring 2011
1
23_Laplace Transforms Part 2
Example 3: a real circuit
Up to now we have only looked at pure math differential equations, now
work on

Objective:
Make the connect between convolution and Fourier Transform
Applications
Note:
The book A.Croft et al.: Engineering Mathematics , p730 759
explains Fourier Transforms and Convolution really well ! (book
in the list of recommended books in Cam

JTBU-020008 Design Thinking (Intersession)
Name: Kiran Adhikari
Group:1
Date: 1/18/2017
1. Which Design Thinking Phases did you work on today?
Today, we worked on Phase Understand and Phase observation followed by short
presentation at the end. Phase unde

KIRAN ADHIKARI
Jacobs University
28759 Bremen
Mobile: 0173 8573639
k.adhikari@jacobsuniversity.de
Education:
2015/08
Jacobs University, Bremen, Germany
Pursuing a Bsc. Degree with a major in Physics and Electrical and Computer engineering;
excepted gradua

23_Laplace Transforms Part 3
Objective:
Convolution for Laplace transform
2 applications:
back transformation
transfer or network function H(s) of a system
General idea: what do the poles of the system tell us about the system?
W. Bergholz GEE2 Sprin

Jacobs University Bremen | School of Engineering and Sciences
300102 General Electrical Engineering II | Spring 2011
Instructor
Prof. Dr. Werner Bergholz
Assignment 1
POSTED: 13 FEB 2011 DUE: 10PM 20 FEB 2011
Please submit your solution to Gen EE mailbox,

Jacobs University Bremen | School of Engineering and Sciences
300102 General Electrical Engineering II | Spring 2011
Instructor
Prof. Dr. Werner Bergholz
Assignment 11
POSTED: 8 MAY 2011 DUE: 10PM 15 MAY 2011
Please submit your solution to Gen EE mailbox,

Jacobs University Bremen | School of Engineering and Sciences
300102 General Electrical Engineering II | Spring 2011
Instructor
Prof. Dr. Werner Bergholz
Assignment 11-SOLUTION
POSTED: 8 MAY 2011 DUE: 10PM 15 MAY 2011
Please submit your solution to Gen EE

19b_ GPS
Objective:
Explain principle and basic denoising of GPS signal
An example for noise removal by auto and cross correlation
W. Bergholz GEE2 Spring
2011
1
19b_ GPS
remember:
GPS signal as received is 60dB below the noise floor
That means a factor o

Jacobs University Bremen | School of Engineering and Sciences
300102 General Electrical Engineering II | Spring 2011
Instructor
Prof. Dr. Werner Bergholz
Assignment 1-SOLUTION
POSTED: 13 FEB 2011 DUE: 10PM 20 FEB 2011
Please submit your solution to Gen EE

09_ACpowersystems
Questions
Connection between AC power systems and
Connection between AC power systems and
Why high voltage transmission?
3.1 = 6.0 ?
AC and bitter fight between 2 Scientists in the 19th century ?
W. Bergholz GenEE2 Spring 2011
1
09_

13_FourierSeriesPart3
Objective:
Fourier Series in complex notation
Square wave in complex notation
Motivation:
In circuit analysis complex notation of sinosoidal signals made things a
lot easier.
Therefore, we need to be able to apply Fourier Series

03_non-linear circuit elements 2
Objectives:
Discuss one more example:
Show that the extra DC term generated by a non-linear circuit
element is useful for demodulation of modulated signals
Show that higher order harmonics are produced (undesirable!)
W.

01_Field Effect transistors
Objectives:
f
Understand how a ield
effect transistor works
Know the essential parameters
Know the types of FETs
Understand simple circuits
Acknowledgement: most figures from ITT training material
W. Bergholz GEE 2 (Spring

10_non-linear circuit elements 1
Case Study: Demodulation of signals
Non-linear circuit elements make life difficult since circuit
analysis gets considerably more difficult
But it can also be useful: For demodulation of a message
modulated onto an AC ca

04_Nyquist curves applications
Objectives of to-days lecture:
Demonstrate and practice the usefulness of Nyquist
curves
Algorithm to construct Nyquist curves and Bode
plots of more complicated circuits
Reverse engineering (given a Nyquist curve, find
t

05_Introduction to Regenerative energies
Case Study #2:
Village in a remote area without connection to the electrical power grid
Next grid: 30km away
What is cheaper: Connection or local generation ?
What aspects do we need to consider for a decision?
Co

01b_Nyquist curves
Case Study #1: Loudspeaker
How to optimize a speaker so that small speakers
are good for a
wide range of frequencies
Need to know the frequency transfer function for a
frequencies between 50 and 16 000 Hz
Nyquist curves will facilita

00_Op Amp intergrator, diff and other applications
Case Study : How to do integration and differentiation before
digital electronic computers
Choice #1: analytically
BUT: for calculation of e.g. the times of high tide and low tides this was not
feasible