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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Hsien-Ju Ko Wen-Shyong Yu |
| Copyright Year | 2008 |
| Description | Author affiliation: Dept. of Comput. & Commun. Eng., Asia Univ., Taichung (Hsien-Ju Ko) || Dept. of Electr. Eng., Tatung Univ., Taipei (Wen-Shyong Yu) |
| Abstract | In this paper, a novel approach is proposed to analyze and minimize fixed-point arithmetic errors for digital filter implementations based on eigenvalue sensitivity measures. First, uncertainties of the filter-parameter caused by roundoff and computational errors are expressed in function of register length for fixed-point implementations. Sequentially, based on fixed-point statistical model and normal-form transformation, a stability criterion of the dynamical filter model is derived to form a similarity transformation with a sufficient and necessary condition of the stability. Thus, eigenvalue sensitivity measure with respect to filter parameters is constructed in the sense of induced 2-norm. This measure is minimized by an optimal similarity transformation (normal-form transformation) obtained from an analytically algebraic method. Based upon this transformation as well as the stability criterion, a least register length can be obtained. Finally, an example is performed to illustrate the effectiveness of the proposed scheme. |
| Starting Page | 2388 |
| Ending Page | 2392 |
| File Size | 251536 |
| Page Count | 5 |
| File Format | |
| ISBN | 9784907764302 |
| DOI | 10.1109/SICE.2008.4655064 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2008-08-20 |
| Publisher Place | Japan |
| Access Restriction | Subscribed |
| Rights Holder | SICE |
| Content Type | Text |
| Resource Type | Article |
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