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Linear Systems I. EE 321 - EE 521 Lecture Outline Dr. Greg Power. System O. y ( t). x ( t). Signals Data or Information. Size of Signal (relative/convenient measures) Signal Energy (typically for finite signals) Signal Power (typically for infinite periodic signals)

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linear systems i

Linear Systems I

EE 321 - EE 521

Lecture Outline

Dr. Greg Power

signals data or information

System

O

y(t)

x(t)

SignalsData or Information
  • Size of Signal (relative/convenient measures)
    • Signal Energy (typically for finite signals)
    • Signal Power (typically for infinite periodic signals)
    • Neither (e.g. infinite ramp)
  • Time-shifting, time scaling, time reversal
  • Classification of signals
    • Continuous-time and discrete-time signals
    • Analog and digital signals
    • Periodic and aperiodic signals
    • Energy and power signals
    • Deterministic and probablistic signals
  • Useful signal models
    • Unit Step Function
    • Unit Impulse Function
    • Exponential function
    • Even and odd functions

signal

signal

Lecture 1

pages 68-98

systems process signals to create signals

System

O

y(t)

x(t)

Systemsprocess signals to create signals
  • Classification of Systems
    • Linear/Nonlinear
    • Time Invariant/Time Varying
    • Causal/Noncausal
    • Continuous-time/Discrete-time
    • Analog/Digital
    • Invertible/Noninvertible
    • Stable/Unstable
    • Instantaneous(memoryless) / Dynamic (memory)
  • Input/Output System Equations
    • Electrical
    • Mechanical
    • Electromechanical Systems
  • MATLAB
    • Inline, exp, cos, pi, sum
    • plot, xlabel, ylabel, grid, axis

signal

signal

Lecture 2

pages 99-121

MATLAB

Pages 131-138

time domain analysis zero input response unit impulse response
Time-Domain Analysis Zero Input Response; Unit Impulse Response
  • 2.1 LTIC
    • Linear Differential Systems
    • Total Response
  • 2.2 Zero-Input Response
    • Electrical
    • Mechanical
    • MATLAB
  • 2.3 Unit Impulse Response, h(t)
    • Calculate from System Equation
    • MATLAB

LTIC

System

O

y(t)

LTIC

System

O

h(t)

δ(t)

Lecture 3

pages 151-169

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