Linear Systems I

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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

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

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

• 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