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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- Spring '09
- Fourier Series, Fourier Transform Properties