Systems and Circuits

Unit 1. Signals.
1.1. Introduction
1.2. Basic operations with signals: time reversal, scaling, shifting
1.3. Properties of the signals: regularity, symmetry
1.4. Characterization of signals: energy and average power. RMS value
1.5. Basic signals.

Unit 2. Systems.
2.1. Introduction.
2.2. Interconnection of systems: series, parallel and feedback systems.
2.3. Properties of the systems: causality, stability, time invariance, linearity.
2.4. Linear Time-Invariant Systems (LTI).
2.5. Convolution.
2.6. Properties of the SLIT.
2.7. Unit Step response.
2.8. Interconnection of the SLIT.

Unit 3. Resistive Circuits
3.1. Basic concepts: potential energy and voltage, electric and electronic current, power.
3.2. Ohm's law: resistors and sources. Kirchhoff's laws: meshes and nodes.
3.3. Parallel and series interconexion of resistors. Equivalent resistance. Rules of the current and voltage divisor.
3.4. Circuit analysis: method of current in branches, mesh method and nodes method.
3.5. Source conversion.
3.6. Network theorems: superposition, Thèvènin, Norton and maximum power transfer. Thévénin' and Norton's equivalent circuits.

Unit 4. Sinusoidal steady-state analysis.
4.1. Phasor.
4.2. Pasive elements in steady state.
4.3. Definition of impedance.
4.4. Kircchoff Laws in the phasor domain.
4.5. Circuit Analysis in the phasor domain.
4.6. Norton's and Thèvènin's equivalent circuits.
4.7. Power in sinusoidal steady-state.

Unit 5. Filters: Time behavior.
5.1. Passive circuit elements: resistors, capacitors and inductors.
5.2. Capacitance and inductance.
5.3. First order differential equations. Response to the step signal.
5.4. General equations for charginng and discharging.
5.5. Basic RC and RL circuits.
5.6. RC and RL circuits with switches.