The relationship between internal precision and input/output precision and the ratio of sample frequency to signal frequency has been described in qualitative terms for the general case and in quantitative terms for many special cases. This paper attempts to generate quantitative approximated guidelines for the general case. Lowpass and bandpass digital filters are implemented using cascaded second order sections via a program that varies the amount of internal precision available for the emulation, and calculates the error produced compared to a 64 bit standard. The errors are plotted, and general equations relating input/output precision and internal precision and the ratio of sample frequency to signal frequency and the order of the filter are developed for both the bandpass and lowpass cases.
| Identifer | oai:union.ndltd.org:ucf.edu/oai:stars.library.ucf.edu:rtd-5799 |
| Date | 01 January 1985 |
| Creators | Kirkwood, James C. |
| Publisher | STARS |
| Source Sets | University of Central Florida |
| Language | English |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | Retrospective Theses and Dissertations |
| Rights | Public Domain |
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