Linear Systems I

1
Linear Systems I

• EE 321 - EE 521
• Lecture Outline
• Dr. Greg Power

2
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
3
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
4
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)
d(t)
Lecture 3 pages 151-169