Effects of Finite Length Registers on a Modified Directform Realization of a High Order H(z) Transfer Function
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| Title: | Effects of Finite Length Registers on a Modified Directform Realization of a High Order H(z) Transfer Function |
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| Authors: | Vanrell, Angel |
| Committee Members: | Simons, Fred O.; Fred O. Simons (Q59968700)Simons, Fred O. [VIAF]University of Central Florida. College of Engineering [VIAF]University of Central Florida. College of Engineering [LC] |
| Summary: | When a digital process is realized on a general-purpose computer or a special-purpose hardware, errors due to finite register length are introduced. These errors are due primarily to arithmetic roundoff, coefficient quantization, and scaling rules. This paper addresses the effects of finite word length on a direct-form implementation of a high order H (z) transfer function. The development and analysis of a modified direct-form realization suggested by Dr. Fred O. Simons, are carried out via FORTRAN emulation of a fourth-order low-pass Butterworth filter. The results are presented as a parametric tradeoff of signal-to-noise ratio at the filter output versus word length. Conclusions are drawn by comparing the modified direct-form with the canonic direct-form. The analysis presented here is intended to illustrate how a high order transfer function can be realized directly without decomposing into a group of low-order subfilters. |
| URL: | https://stars.library.ucf.edu/rtd/4707 |
| Database: | OpenDissertations |
| Abstract: | When a digital process is realized on a general-purpose computer or a special-purpose hardware, errors due to finite register length are introduced. These errors are due primarily to arithmetic roundoff, coefficient quantization, and scaling rules. This paper addresses the effects of finite word length on a direct-form implementation of a high order H (z) transfer function. The development and analysis of a modified direct-form realization suggested by Dr. Fred O. Simons, are carried out via FORTRAN emulation of a fourth-order low-pass Butterworth filter. The results are presented as a parametric tradeoff of signal-to-noise ratio at the filter output versus word length. Conclusions are drawn by comparing the modified direct-form with the canonic direct-form. The analysis presented here is intended to illustrate how a high order transfer function can be realized directly without decomposing into a group of low-order subfilters. |
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