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Digital SystemsDigital SystemsDigital SystemsDigital Systems
Master Of Engineering in ElectronicsMaster Of Engineering in
ElectronicsMaster Of Engineering in ElectronicsMaster Of
Engineering in Electronics
Propedeutic Course
Summer 2013
Technical Institute OfCiudad Guzman
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Introduction 2
Course detailsInstructor: Juan Pablo BRACAMONTES DEL TORO.
Course Time: 9 AM 11 AM.
Course Room: Smart Room.
E-mail:[email protected].
Office: Public desk at the Library.
Office Hours: Monday to Friday 12 PM to 3 PM.
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Introduction 3
Course Objective
Remember the basics of Digital Systems from Digital Signals-
trough Digital Design - till Hardware DescriptorLanguages with
focus in VHDL.
Present some demos with Programmable devices (i.e.
FPGAs).
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Introduction 4
Day 1 Agenda
Digital Signals.
Sampling, Shannon Theorem and
Quantization.
Basic Logic Functions in Digital Design.
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1
2
3
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Introduction 5
Digital Signals
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Time Domain Frequency Domain
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Introduction 6
Digital Signals Using analog devices, time varying signals can
take
values across a continuous variable, like voltage orcurrent.
A digital signal is modeled taking at any time, only oneA
digital signal is modeled taking at any time, only oneA digital
signal is modeled taking at any time, only oneA digital signal is
modeled taking at any time, only one
of two discrete values:of two discrete values:of two discrete
values:of two discrete values: 0000 orororor 1111....
To represent a signal in the digital domain we need:
SAMPLING.
DIGITIZING AND QUANTIZATION.
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Introduction 7
Sampling SAMPLING is the process to obtain signal values
from
the continuous signal at regular time-intervals.
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Sampling period
Sampling time
Sampling period is
fixed.
This makes
informationunderstandable.
Samples
Voltage
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Introduction 8
Alias Effect
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Introduction 9
Shannon Theorem That task for doing this sampling and
interpolationbusiness right was achieved by Claude Shannon in
1948
with his famous Sampling Theorem.
The sampling theorem states conditions under which acontinuous
time signal can be reconstructed exactly
from its samples and also defines the
interpolationalgorithm.
Half of the sample-rate is also often called the
Nyquistfrequency, in honor to Harry Nyquist.
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Introduction 10
Quantization
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The discretizationof amplitude valuesis calledQUANTIZATION.
Sampling signal isperiodic.
The aim is to obtain`1``0` representation.
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Introduction 11
Basic Logic Functions
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The most basic digital devices are called `gates`.
Gates has one or more inputs and produces and otuputthat is
function of the current input values.
SymbolsSymbolsSymbolsSymbolsfrom the main kinds of gates are shown
below.from the main kinds of gates are shown below.from the main
kinds of gates are shown below.from the main kinds of gates are
shown below.
AND
OR
NOT
*Input / Output Logic levels are shown in blue.
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Introduction 12
Basic Digital ICs
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Normally founded in PDIP package.
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Introduction 13
References
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John F. Wakerly. Digital Design Third Edition.
C3X TI DSP Teaching Kit.
Article availbale at: www.rs-met.com.
