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Lecture 18 – State Space Analysis
ECSE304 Signals and Systems II
ECSE 304 Signals and Systems II
Lecture 18: State Space Analysis
Richard Rose
McGill University
Dept. of Electrical and Computer Engineering
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Lecture 18 – State Space Analysis
ECSE304 Signals and Systems II
Course Outline
• Discrete-Time Fourier Series and DT Fourier Transform
• The Z – Transform
• Time and Frequency Analysis of DT Signals and Systems
• Sampling Systems
– Lecture 12: The Sampling Theorem
– Lecture 13:
Discrete Time Processing of Continuous Time Signals
– Lecture 14:
Sampling of Discrete Time Signals
• Application to Communications Systems
– Lecture 15: Amplitude Modulation
– Lecture 16: Single Sideband and Pulse Amplitude Modulation
– Lecture 17: Frequency and Time Division Multiplexing and Angle Modulation
• State Models of Continuous Time LTI Systems
– Lecture 18: State Space Analysis
– Lecture 19: Solution of State Equations
– Lecture 20: Observability and Controllability
• Linear Feedback Systems

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Lecture 18 – State Space Analysis
ECSE304 Signals and Systems II
•
Review of Frequency Modulation
– FM Demodulation
•
State Models of LTI Systems
– State Variables and State Equations
– Solutions of State Equations
•
Feed back LTI Systems
– Models and applications of feedback systems
– Stability of closed loop systems using root-
locus techniques and Nyquist criterion
– Relative stability, gain and phase margins
Outline
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Lecture 18 – State Space Analysis
ECSE304 Signals and Systems II
Review of Frequency Modulation