final exam 2010 description

final exam 2010 description - Final Exam: Tuesday, Dec....

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Unformatted text preview: Final Exam: Tuesday, Dec. 14, 10:30 AM – 12:30 PM, GSMN 64 Closed book, no calculator – any formulas that are needed will be supplied. Covers material through lecture on Dec. 7 (Homeworks 10 ­12, book chapters 10, 11, 12.1 ­12.3, 14). Topics: 1. CT and DT Fourier Transforms: • Definitions of Fourier Transforms and inverse transforms. • Fourier Transforms of basic signals (impulse, rectangle, complex exponential, sinc, etc.). • Fourier Transform properties (periodicity of DTFT; duality property of CTFT; time ­shift, frequency ­shift, modulation, convolution properties; Fourier Transform symmetry properties; Parseval’s relation). 2. Frequency domain analysis of CT and DT systems: • Frequency response: relation to impulse response and transfer function. • {system output FT} = {system input FT} x {frequency response}. • Ideal frequency ­selective filters (LPF, BPF, HPF, BSF) – frequency responses and impulse responses. 3. Sampling, interpolation and DT implementations of CT processing: • Relation of CT and sampled signals in time and frequency domains. • Relation of interpolator input and output in time and frequency domains. • Sampling theorem; Nyquist rate; aliasing. • Implementation of CT processing via sampler ­DT system ­interpolator. • Non ­ideal sampling and interpolation. (*) • Discrete Fourier Transform (DFT). (*) (*) You should be familiar with these topics at the level they were described in lecture – there may be short questions on the exam that address them. Office Hours This week: Prof Kelly: Tues., 11:00 ­noon Prof. Gong: Wed., 2:30 ­3:30 Fri., 12:30 ­1:30 TAs: Wed., 4:00 ­8:00 Additional office hours will be posted on SPARK . Final Grade Policy: Final grade will be calculated as the higher of G1 = 0.1 x HW + 0.3 x Exam1 + 0.3 x Exam 2 + 0.3 x Final Exam or G2 = 0.1 x HW + 0.2 x Exam1 + 0.3 x Exam 2 + 0.4 x Final Exam ...
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