1. Signals Introduction Part 1

Zusammenfassung der Ressource

Flussdiagrammknoten

  • 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
  • A switch can create a signal
  • The Unit Step can represent this simple signal
  • 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
  • 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
  • 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)
  • 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
  • Continuous Signals
  • Random Signal
  • Discrete Random Signals
  • Non-Periodic, Not Random Signal
  • Odd
  • Even
  • x(t) = x(-t)
  • x(t) = -x(-t)
  • Symmetric
  • Anti-symmetric
  • (Cosine Wave)
  • (Sine Wave)
  • Signal Symmetry
  • Product Rule
  • ODD . ODD = EVENEVEN . EVEN = EVENEVEN . ODD = ODDODD . EVEN = ODD
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