Linear systems i
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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

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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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