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# Linear Systems I - PowerPoint PPT Presentation

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

EE 321 - EE 521

Lecture Outline

Dr. Greg Power

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

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

• 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