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Linear Systems I

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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  1. Linear Systems I EE 321 - EE 521 Lecture Outline Dr. Greg Power

  2. 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

  3. 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

  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) δ(t) Lecture 3 pages 151-169

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