Effect of Non-Ideal Sampling on the Discrete Fourier Transforms of an Object Function
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| Title: | Effect of Non-Ideal Sampling on the Discrete Fourier Transforms of an Object Function |
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| Authors: | MacDougall, Karen Marie |
| Committee Members: | Boreman, Glenn; University of Central Florida. College of Engineering [VIAF] University of Central Florida. College of Engineering [LC] |
| Summary: | Fourier Series and Fourier Transforms can be used to determine the frequency content of a continuous signal. This paper investigates the situation where a two dimensional object function is sampled by a detector array of a finite size. Continuous Fourier analysis is not applicable to sampled data, so the Discrete Fourier Transform is used. The similarities and differences between the discrete and continuous cases are discussed and consideration is made as to how the spectrum is altered when the normal assumptions of ideal sampling and recovery are not made. |
| URL: | https://stars.library.ucf.edu/rtd/5074 |
| Database: | OpenDissertations |
| Abstract: | Fourier Series and Fourier Transforms can be used to determine the frequency content of a continuous signal. This paper investigates the situation where a two dimensional object function is sampled by a detector array of a finite size. Continuous Fourier analysis is not applicable to sampled data, so the Discrete Fourier Transform is used. The similarities and differences between the discrete and continuous cases are discussed and consideration is made as to how the spectrum is altered when the normal assumptions of ideal sampling and recovery are not made. |
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