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102_1_102_1_WeePAR-I

# 102_1_102_1_WeePAR-I - WINTER 2009 EE 102 WEEPAR(WEEKLY...

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WINTER 2009 EE 102 WEEPAR (WEEKLY PREVIEW AND REVIEW) N. Levan 1 1 [email protected] 1

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2 Can WEEPAR Help You? Yes It Can! WEEPAR is intended for you (if you prefer): (i) to read before each Lecture (i.e., Preview), and (ii) to find out what was discussed in each class (i.e., Review) — which may or may not be found in your own Notes!
3 Weekly Topics 2 GENERAL OUTLINE The course is divided into 5 Parts: I. Introduction. Systems: IP-OP Description (IPOPD); Signals: Time Functions II. Time t -Domain Analysis III. Complex Frequency s -Domain Analysis IV. Decomposition of Signals Into Elementary Signals V. Frequency f -Domain Analysis Part I. Introduction: Systems and Signals Week 1 L-1 : A Guided Tour of the land of EE 102 L-2 : Signals: Continuous-Time and Discrete-Time; Systems with IPOPD: Linear (L), Nonlinear (NL), Time-Invariant (TI), Time-Varying (TV), Causal (C), and Non-Causal (NC); Systems with Memory; Zero-Memory Systems; Two important signals: Unit Step Function U ( · ) and Delta Function δ ( · ) Part II. t -Domain Analysis Week 2: IRF and BT L-3 : Impulse Response Function (IRF); Unit Step Response (USR); IPOP Relation of L Systems; The EE 102 Big Theorem (BT) L-4 : LTIC Systems and Convolution Integrals (Convo-Inte); Cascading of LTIC systems Part III. s -Domain Analysis: Laplace Transforms Week 3 L-5 : Recap on t -Domain Analysis; Problems Laplace Transforms and s -Domain L-6 : Laplace Transforms (continued): Properties Week 4: Inverse Laplace Transforms L-7 : Inverse Laplace Transforms, PFE; Solving Di ff erential Equations by Laplace Transforms L-8 : Analysis of LTIC Systems by Laplace Transforms; System (or Transfer) Function; Cascading of LTIC systems 2 Estimated

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4 Week 5: Connecting t -Domain and s -Domain L-9 : Connecting t -Domain and s -Domain: IRF and System Function; Deriving DE from System Function; Response to e st , t R ; Another Definition of System Function; Convo-Inte and System Function; Prod- uct of two transforms and Convo-Inte L-10 : Five-Week Review; Problems; MT Prep Note: Saturday / Sunday Extra 5-Week Review and MT Prep (TBA) Part IV. Decomposition of Signals Into Elementary Signals Week 6: MIDTERM and Decomposition of Signals ——————————————————————————————- L-11 : ∗∗ MT, MT, MT ∗∗ ——————————————————————————————- L-12 : Elementary Signals; Finite Energy Signals; Orthonormal Sig- nals; Periodic Signals; Complex Exponentials; Fourier Series (FS): Or- thonormal Decomposition of Periodic Signals; Fourier Coe cients; Am- plitude and Phase Spectra Week 7: Fourier Series Analysis L-13 : Fourier Series (continued): Real Signals: Sine-Cosine Series L-14 : Orthogonal Principle; Mean Square Approximation and Error; Response of L, TI, Systems to Periodic Inputs Part V. f -Domain Analysis: Fourier Transforms Week 8 L-15 : Fourier Transforms (FT) and f -Domain; FT and FS L-16 : Properties of FT; Inverse Transforms Week 9: FT and Analysis of L,TI, Systems L-17 : FT (continued): Important Transforms and Inverse Transforms L-18 : Analysis of L, TI, systems by FT; FRF; Amplitude and Phase Spectra
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102_1_102_1_WeePAR-I - WINTER 2009 EE 102 WEEPAR(WEEKLY...

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