Circuits and Signals

The course introduces the basic concepts of the time and frequency
analysis of electrical circuits, including constitutive circuit
elements, time and frequency linear circuit equations, transient and
steady state analysis, transfer function, transmission of signals. It
also introduces fundamentals of analog signals representation and
analysis. Understanding how these concepts are related, and how
circuits respond to signals of different frequencies is the basis for
understanding modern communication and signal processing, and analog
electronics as well.

The lectures provide the students with the explanation of the core
material. Examples explaining the concepts and techniques are discussed
in order to provide a qualitative understanding. The tutorials have
more quantitative approach and enable students to apply the material
introduced during the lectures to solve some problems. The laboratory
provides the students with hands-on experience.


Lecture contents

1. Basic circuit elements (2h) of linear time invariant circuits and their constitutive equations.


2. Power, energy (2h). Passive and active elements. Ohm`s law,
   Kirchoff`s laws.


3. Parallel and series connections (2h). Superposition principle.


4. Time-domain circuit equations (2h). Response of first order
   circuit.


5. Transient and steady state (2h): second order circuits.


6. Harmonic signals (2h). Sinusoidal steady-state analysis of linear
   circuits.


7. Sinusoidal steady-state analysis (2h). AC power.


8. Thevenin`s and Norton`s laws (2h): superposition principle.


9. Resonant circuits (2h). Filtering.


10. Laplace transform and its application to electrical circuits (2h).


11. Transfer functions (2h).


12. Frequency characteristics (2h): impulse response.


13. Periodic signals and Fourier series (2h).


14. Fourier transform (2h).


15. Application of Fourier transform (2h).

• Circuit elements: linear and nonlinear resistor, inductor,
  capacitor.


• Circuits with sinusoidal excitations.


• Resonant circuits.


• Transients in circuits.


• Fourier series and transform

1. Raymod A. DeCarlo and Pen-Min Lin, Linear Circuits Analysis. 2nd eds., Oxford University Press, 2001.


2. Erhan Kudeki and David C.Munson, Analog Signals and Systems.
   Prentice Hall 2009.


3. R.C.Dorf and J.A.Svoboda, Introduction ot Electric Circuits. 7th
   eds, Wiley, 2006.

There are two components of the assessment in this course:

• Laboratory: 40 points for five exercises (5*8).


• Tests: 60 points for two open problem tests.

The total is 100 points. The final result is based on the following
pattern:

• 5.0 >90 points


• 4.5: 81-90 points


• 4.0: 71-80 points


• 3.5: 61-70 points


• 3.0: 51-60 points


• 2.0: 0-50 points