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Signals and Systems

 

Program of Lectures

Analytical description of the course:

1st week

First meeting

Topics:

Part I: Prolegomena
Organization of the course
A short history of Signals and Systems
Electrical signals: Analog – Digital
Representation of signals: Time domain – Frequency domain
Mathematical description of a signal
Electrical sources: Voltage – Current
Electric circuits laws: Ohm’s, Kirchhoff’s, Joule’s
Equivalent circuits
Electric circuits theorems: Thevenin ’s, Norton’s 
Electronic components: Resistor - Capacitor - Inductor – Transformer
Data sheets of electronic components
System: Input or excitation – Output or response
Analysis and Synthesis
Simulation of electrical and Electronic circuits
Computer Algebra Systems – 
Electronic Circuit Simulators
Prototype construction and measurements
Feasibility, Manufacturing, production,

 

 

Part II

Review of Complex Algebra

Complex numbers

Forms of complex numbers

Transformation between forms.

Complex conjugate

Addition

Subtraction

Multiplication

Division


Examples:

 

Applications:

 

Homework:

To be distributed in class.

 

Select a Signals and Systems personality.

Present a short biography with emphasis on its contributions to Science in general and to Signals and Systems in particular.

Describe the long term effect of his/her contributions.

 

Take care of the organization of your report. This is a report exercise. Pay attention to your command of English (We agree that the language of communication will be English!)

 

Due in one week.

It will be reviewed for completeness but not necessarily corrected and graded.

 

References:

Agilent seminars, symposia, trade shows and webcasts

Second meeting

Topics:

Functions of a complex variable

  

Examples:

 

Applications:

 

Homework:

Distributed in class.

Due on the next meeting.

It will be evaluated for completeness but not necessarily corrected and graded.

 

References:

 

2nd week

First meeting

Topics:

Signals

Properties of signals


Laboratory session:


Examination:

 

Examples:

 

Applications:

 

Homework:

Distributed in class.

Due on the day of the examination.

It will be evaluated for completeness but not necessarily corrected and graded.

 

References:

 

Second meeting

Topics:

 Representation of signals:

Table

Graph

Equation

 

Examples:

 

Applications:

 

Homework:

Distributed in class.

Due on the day of the examination.

It will be evaluated for completeness but not necessarily corrected and graded.

 

References:

 

3rd week

First meeting

Topics:

 Mathematical Modeling of Physical Systems.


Laboratory session:
Examination:

 

Examples:

 

Applications:

 

Homework:

Distributed in class.

Due on the day of the examination.

It will be evaluated for completeness but not necessarily corrected and graded.

 

References:

 

Second meeting

Topics:

 Mathematical methods for the solution of models of Mathematical systems.

 

Examples:

 

Applications:

 

Homework:

Distributed in class.

Due on the day of the examination.

It will be evaluated for completeness but not necessarily corrected and graded.

 

References:

 

 

4th week

First meeting

Topics:

 Analysis of systems in the time domain.


Laboratory session:


Examination: 

 

Examples:

 

Applications:

 

Homework:

Distributed in class.

Due on the day of the examination.

It will be evaluated for completeness but not necessarily corrected and graded.

 

References:

 

Second meeting

Topics:

 Analysis of systems in the time domain Vector algebra.

 

Laboratory session:


Examination:

 

Examples:

 

Applications:

 

Homework:

Distributed in class.

Due on the day of the examination.

It will be evaluated for completeness but not necessarily corrected and graded.

 

References:

 

 

5th week

10th of February

First meeting

Topics:

 Circuit analysis in the complex frequency domain


Laboratory session:


Examination:


 

Examples:

 

Applications:

 

Homework:

Distributed in class.

Due on the day of the examination.

It will be evaluated for completeness but not necessarily corrected and graded.

 

References:

 

Second meeting

Topics:

 Circuit analysis in the complex frequency domain

 

Examples:

 

Applications:

 

Homework:

Distributed in class.

Due on the day of the examination.

It will be evaluated for completeness but not necessarily corrected and graded.

 

References:

 

 

6th week

First meeting

Topics:

 Application: Passive filters


Laboratory session:
Examination:

Examples:

 

Applications:

 

Homework:

Distributed in class.

Due on the day of the examination.

It will be evaluated for completeness but not necessarily corrected and graded.

 

References:

 

Second meeting

Topics:

  Application: Passive filters

 

Examples:

 

Applications:

 

Homework:

Distributed in class.

Due on the day of the examination.

It will be evaluated for completeness but not necessarily corrected and graded.

 

References:

 

 

7th week

24th of February

First meeting

Topics:

 Fourier Analysis


Laboratory session:


Examination:

 

Examples:

 

Applications:

 Practical circuits of operational amplifiers (Handbook, companies)

 Mathematical operations using operational amplifier circuits

 

Homework:

Distributed in class.

Due on the day of the examination.

It will be evaluated for completeness but not necessarily corrected and graded.

 

References:

 

Second meeting

Topics:

 Fourier Transform

 

Examples:

 

Applications:

 

Homework:

Distributed in class.

Due on the day of the examination.

It will be evaluated for completeness but not necessarily corrected and graded.

 

References:

 

8th week

First meeting

Topics:

 Discrete Signals

 

Examples:

 

Applications:

 

Homework:

Distributed in class.

Due on the day of the examination.

It will be evaluated for completeness but not necessarily corrected and graded.

 

References:

 

Second meeting

Topics:

 Discrete Signals

 

Examples:

 

Applications:

 

Homework:

Distributed in class.

Due on the day of the examination.

It will be evaluated for completeness but not necessarily corrected and graded.

 

References:

 

 

9th week

First meeting

Topics:

 Discrete time systems


Laboratory session:
Examination:

Examples:

 

Applications:

 

Homework:

 Distributed in class.

 Due on the day of the examination.

 It will be evaluated for completeness but not necessarily corrected and graded.

 

References:

 

 

Second meeting

Topics

 Discrete time systems

 

Examples:

 

 

Applications:

 

Homework:

 Distributed in class.

 Due on the day of the examination.

 It will be evaluated for completeness but not necessarily corrected and graded.

 

References:

 

 

10th week

First meeting

Topics:

 Digital filters


Laboratory session:
Examination:

Examples:

 Simple first principles examples

 

Applications:

 

Homework:

 Distributed in class.

 Due on the day of the examination.

 It will be evaluated for completeness but not necessarily corrected and graded.

 

References:

 national

 analog

 

Second meeting

Topics:

  Digital filters

 

Examples:

 

Applications:

 

Homework:

Distributed in class.

Due on the day of the examination.

It will be evaluated for completeness but not necessarily corrected and graded.

 

References:

 

 

11th week

First meeting

Topics:

 Laplace Transform

 

Examples:

 

 

Applications:

 

 

Homework:

 Distributed in class.

 Due on the day of the examination.

 It will be evaluated for completeness but not necessarily corrected and graded.

 

References:

 

Second meeting

Topics:

 Applications of Laplace Transform

 

Examples:

 

Applications:

 

Homework:

 Distributed in class.

 Due on the day of the examination.

 It will be evaluated for completeness but not necessarily corrected and graded.

 

References:

 

 

12th week

First meeting

Topics:

 z Transform

 

Examples:

 

Applications:

 

Homework:

 Distributed in class.

 Due on the day of the examination.

 It will be evaluated for completeness but not necessarily corrected and graded.

 

References:

 

Second meeting

Topics:

 Applications of z transform

Examples:

 

Applications:

 

Homework:

 Distributed in class.

 Due on the day of the examination.

 It will be evaluated for completeness but not necessarily corrected and graded.

 

References:

 

 

13th week

First meeting

Topics:

 Additional topics

 

Examples:

 

Applications:

 

Homework:

 Distributed in class.

 Due on the day of the examination.

 It will be evaluated for completeness but not necessarily corrected and graded.

 

References:

 

Second meeting

Topics:

 

Examples:

 

Applications:

 

Homework:

 Distributed in class.

 Due on the day of the examination.

 It will be evaluated for completeness but not necessarily corrected and graded.

 

References:

 

14th week

First meeting

Topics:

 Additional topics

 

Examples:

 

 

Applications:

 

 

Homework:

Distributed in class.

Due on the day of the examination.

It will be evaluated for completeness but not necessarily corrected and graded.

 

References:

 

Second meeting

Topics:

 

 

Examples:

 

Applications:

 

Homework:

Distributed in class.

Due on the day of the examination.

It will be evaluated for completeness but not necessarily corrected and graded.

 

References:

 

15th week

First meeting

Topics:

  Review
 Signals and Systems - An Epilogue
 A View on the Applications
 From the past to the present and from the present to the future
 Evaluation of the course
 Evaluation of the instructor

 

Examples:

 

Applications:

 

Homework:

Distributed in class.

Due on the day of the examination.

It will be evaluated for completeness but not necessarily corrected and graded.

 

References:

 

Second meeting

Topics:

 

Proposed Titles of projects:

 

Presentation of Projects:

1. Title

2. Review of the field

3. Short description of the process, method, techniques

4. Figures, photographs that describe the process

5. Description of other processes

6. Advantages of the method

7. Disadvantages of the method

8. Conclusions

9. Further work

10. References

 

Prepare an electronic presentation

Prepare hand outs for your audiences

 

16th week

Topic:

Final Examination