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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)

- 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)

- 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