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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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 Fall '08
 MUSCHINSKI

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