 CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2019/2020

# Digital and Analog Circuits

Code Completion Credits Range Language
BIK-CAO Z,ZK 5 13KP+4KC Czech
Lecturer:
Kateřina Hyniová (guarantor)
Tutor:
Kateřina Hyniová (guarantor), Stanislav Jeřábek, Jan Řezníček
Supervisor:
Department of Digital Design
Synopsis:

Students get the fundamental understanding of technologies underlying electronic digital systems. The 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.

Requirements:

High-School level of mathematics and physics.

Syllabus of lectures:

1. Lumped vs. distributed parameters, transitions. State variables and circuit parameters (resistance, capacity, inductance). Current and voltage sources, connections, elements of circuit equations. 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.

2. Circuit equations, node voltage method, loop current method. DC circuits. Digital abstraction, Boolean logic, Boolean functions (negation, NAND, NOR, AND, OR, sum-of-products), N-type and P-type switches, implementing logic gates using N-type and P-type switches.

3. Semiconductors, properties. Basic nonlinear elements in electric circuits (diodes, ...), characteristics, linearization. MOSFET. MOSFET as an amplifier. MOSFET as a switch.

4. Structures of logic elements (CMOS technology, physical structure, logic gates, multiplexors, tri-state drivers, level flip-flops, edge flip-flops). Sinusoidal steady state with a single frequency, transfer.

5. Resonant circuits; time diagrams of variables including powers. Measurements, example of tuning. Homogeneous transmission line (approaches, basic termination methods, etc.). Signal delay in digital systems. Symmetric and asymmetric transmission lines.

6. 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). Controlled supplies and magnetically coupled circuits. Transformers.

7. 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).

Syllabus of tutorials:

1. Introduction to SW Mathematica, solving of various types of equations. First-order transients; oscilloscope, numerical mathematics, NDSolve. Complex circuit: measurements, calculation. DC circuits; digital abstraction. Semiconductors. Transistor. Structures of logic elements.

2. Single-frequency sinusoidal steady state, inverse task (determination of circuit parameters by measurement and calculation). Resonant circuits: equations, responses. Measurement and tuning. Fourier (numerical and experimental tasks). Homogeneous transmission lines (approaches, basic examples of termination etc.), reflections, adjustment. Signal delays. Power. Mean and effective value. Reactive power. Energy and power in digital systems. Operational amplifiers.

Study Objective:

The aim of the module is to teach the fundamentals of digital and analog circuits, as well as basic methods of analyzing them. Students learn what do computer structures look like at the lowest level. They are introduced to the function of a transistor. They will know why processors generate heat, why is cooling necessary, and how to reduce the consumption; what are the limits to the maximum operating frequency and how to raise them; why does a computer bus need to be terminated, what happens if it is not; what does (in principle) a computer power supply look like. In the labs, students will perform measurements on actual circuits. They will also design circuits and verify some of their designs hans-on. Mathematica software is used to solve problems.

Study materials:

1. Agarwal, A., Lang, J. H. ''Foundations of Analog and Digital Electronic Circuits''. Morgan Kaufmann, 2005. ISBN 1558607358.

2. Agarwal, A., Lang, J.H.: Foundations of Analog and Digital Electronic Circuits, Elesevier 2005

Note:
Further information:
https://courses.fit.cvut.cz/BI-CAO/
Time-table for winter semester 2019/2020:
Time-table is not available yet
Time-table for summer semester 2019/2020:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2020-01-19
For updated information see http://bilakniha.cvut.cz/en/predmet1444906.html