BIE-CAO – Digital and Analog Circuits


Students get the fundamental understanding of technologies underlying electronic digital systems. They understand the basic theoretical models and principles of functionality of transistors, gates, circuits, and conductors. They are able to design simple circuits and evaluate circuit parameters. They understand the differences between analog and digital modes of electronic devices.

Lecture Program

  1. Lumped vs. distributed parameters, transitions. State variables and circuit parameters (resistance, capacity, inductance). Current and voltage sources, connections, elements of circuit equations.
  2. Replacing elements with current or voltage sources, circuit equations. Serial and parallel connection of equivalent elements. Numerical mathematics for solving equations that describe electric circuits.
  3. Circuit equations, node voltage method, loop current method. DC circuits.
  4. Digital abstraction, Boolean logic, Boolean functions (NOT, NAND, NOR, AND, OR, sum-of-products), N-type and P-type switches, implementation of logic gates using N-type and P-type switches.
  5. Semiconductors, properties. Basic nonlinear elements in electric circuits (diodes, ...), characteristics, linearization.
  6. MOSFET. MOSFET as an amplifier. MOSFET as a switch.
  7. Structures of logic elements (CMOS technology, physical structure, logic gates, multiplexors, tri-state drivers, level flip-flops, edge flip-flops).
  8. Sinusoidal steady state with a single frequency, transfer.
  9. Resonant circuits; equations, time diagrams of variables including powers.
  10. Homogeneous transmission line (approaches, basic termination methods, etc.). Signal delay in digital systems. Symmetric and asymmetric transmission lines.
  11. Power. Mean and RMS value. Reactive power. Energy and power in digital systems (energy and power in a simple RC circuit, energy consumption in logic gates, NMOS, CMOS).
  12. Controlled supplies and magnetically coupled circuits. Transformers.
  13. Operational amplifiers, comparators (properties, simple op-amp circuit, input and output impedance, examples, RC circuits with op-amps, saturated op-amp, positive feedback, two-port network).

Labs Program

  1. Introduction to SW Mathematica, solving of various types of equations.
  2. First-order transients; oscilloscope, numerical mathematics, NDSolve.
  3. Complex circuit: measurements, calculation.
  4. DC circuits; digital abstraction.
  5. Semiconductors.
  6. Transistor.
  7. Structures of logic elements.
  8. Single-frequency sinusoidal steady state, inverse task (determination of circuit parameters by measurement and calculation).
  9. Resonant circuits: equations, time diagrams of variables including power. Measurement and tuning. Fourier (numerical and experimental tasks).
  10. Homogeneous transmission lines (approaches, basic termination methods etc.), reflections, adjustment. Signal delays.
  11. Power. Mean and effective value. Reactive power.
  12. Energy and power in digital systems.
  13. Operational amplifiers.

Last modified: 7.9.2010, 11:08