102_1_102_1_WeePAR-I

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

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Unformatted text preview: WINTER 2009 EE 102 WEEPAR (WEEKLY PREVIEW AND REVIEW) N. Levan 1 1 levan@ee.ucla.edu 1 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 ( ) 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 Differential Equations by Laplace Transforms L-8 : Analysis of LTIC Systems by Laplace Transforms; System (or Transfer) Function; Cascading of LTIC systems 2 Estimated 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 Coecients; 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...
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This note was uploaded on 10/15/2009 for the course EE 102 taught by Professor Levan during the Spring '08 term at UCLA.

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

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