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1. Signals Introduction Part 1
Descripción
Basics of signals and classifications of signals
Sin etiquetas
signals basics
signal classifications
periodic signals
random signals
non-periodic not random signals
discrete time signals
continuous signals
odd signals
even signals
signal symmetry
signal symmetry product rule
unit step function
electronic and electrical engineering
ecs411 signals & information
first year
Diagrama por
Savan L
, actualizado hace más de 1 año
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Creado por
Savan L
hace más de 7 años
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Resumen del Recurso
Nodos de los diagramas
Signals Basics
Signal
Information
Created when a value changes with time
Created when a signal changes in an unpredictable way
Side Notes
An electrical/electronic circuit is some sort of signal processor
Any value that changes as a function of time
12e6b349-472b-411c-8db8-420fcfac951e (image/png)
A switch can create a signal
The Unit Step can represent this simple signal
1dc03399-a4b7-4bfe-95df-c7e73ad6d772 (image/png)
c47dae03-2e49-4526-aac2-d2c398461b31 (image/png)
There's an infinite number of signals
Some aspects of signals - can be used to classify them
Amplitude
Mean value (might be zero)
Root mean square value (will not be zero)
Number of zero crossings per unit time
Related to frequency
Important
ee450d57-0649-4f0d-b0fb-d8a34d02316a (image/png)
Electronic devices take an input signal and change it in some way
Examples:AmplificationRectificationFiltering
Fundamental Signal Classifications
Continuous Signal
Has a value at every point in time
Discrete Time Signal
Has a value at distinct points in time
44c64e37-1ed1-4088-a210-a6e16844bb18 (image/png)
2bb532b4-3ad3-407c-ac3b-a6df7de51171 (image/png)
T is the time between the signal values (not the time period) in this case
Signals can be created by summing other signals
Simple signals, such as sine waves, are added to create more complicated wave-forms - information signals (maybe)
2d313521-9ce8-47fd-a6d0-14c105ac196e (image/png)
cd0e4f14-3e63-4dba-9913-0e153fdf13da (image/png)
Adding continuous signals
Adding discrete time signals
Periodic
Random
Non-periodic, Not Random
Values are repeated at regular intervals (periods)
Random value (can't be determined) at any point in time
Values are not repeated periodically and are not random
T = Period
2a97eee6-a194-453e-8a48-daef64cd054f (image/png)
c3e59661-b55a-4f71-949f-e776c96c935f (image/png)
Continuous Signals
Random Signal
93336ff0-ec6a-4349-8196-a66767a195e1 (image/png)
Discrete Random Signals
f20ad80c-e482-4e97-b4da-705a86586e2a (image/png)
Non-Periodic, Not Random Signal
Odd
Even
x(t) = x(-t)
x(t) = -x(-t)
Symmetric
Anti-symmetric
(Cosine Wave)
(Sine Wave)
571c0424-171d-46de-871e-ae740cd10dd7 (image/png)
Signal Symmetry
Product Rule
ODD . ODD = EVENEVEN . EVEN = EVENEVEN . ODD = ODDODD . EVEN = ODD
c4f4edba-b187-4edf-ab27-e36148b48125 (image/png)
11951b5d-1520-4132-b29f-b01d7edc4e79 (image/png)
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