1Lecture 18 – State Space AnalysisECSE304 Signals and Systems IIECSE 304 Signals and Systems IILecture 18: State Space AnalysisRichard RoseMcGill University Dept. of Electrical and Computer Engineering2Lecture 18 – State Space AnalysisECSE304 Signals and Systems IICourse 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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3Lecture 18 – State Space AnalysisECSE304 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 marginsOutline4Lecture 18 – State Space AnalysisECSE304 Signals and Systems IIReview of Frequency Modulation