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exam3_info 2011 - Transform(eq 7.8a in textbook and Inverse...

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BME 343, Final Exam Information Wednesday, December 7, 9:00-12:00 RLM 4.102 Everything that was covered in the lectures Closed book, closed notes, no calculators, computers or other electronic devices Chapter 6, sections 6.1-6.4 Chapter 7, sections 7.1-7.6 (excluding 7.4-2) Chapter 8, sections 8.1-8.3 You will be given Tables 6.1 (Fourier series equations), 7.1 (Fourier transform pairs), 7.2 (Fourier transform properties) Although the final is not explicitly cumulative, much of the material builds on the previous topics we’ve covered, so you should make sure you understand all of the major topics from the entire course (things like the difference between continuous time and discrete time signals/systems, convolution, frequency response of a system, zero-state and zero-input responses, etc). There will be no separate equation sheet, but the definitions of the Fourier
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Unformatted text preview: Transform (eq 7.8a in textbook) and Inverse Fourier Transform (eq 7.8b in textbook) will be included on the exam. Major Topics • Fourier Series o Trigonometric form o Compact trigonometric form o Exponential form o Fourier series spectrum for each form of the Fourier series o response of a system to an arbitrary periodic input • Fourier Transforms o Difference between Fourier series and Fourier transforms o Fourier transforms of rect, sinc, ramp functions o Fourier transform properties – make sure you understand what each means. o Amplitude modulation o response of a system to an arbitrary input • Sampling o Effect of sampling on the frequency spectrum of a signal o impulse trains o Nyquist frequency o aliasing o anti-aliasing filters • Image Processing o Concept of spatial frequency o Filtering of images using convolution o Frequency domain filtering of images...
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