Error analysis of digital filters using fixed point arithmetic
Based on an electrocardiogram filter, measurement methods of magnitude and phase responses, quantization and overflow errors, as well as limit circles in digital filters for fixed number representation are presented. A computer library for SCILAB has been created to simplify simulations. Direct form...
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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences
2025-07-01
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| Series: | International Journal of Electronics and Telecommunications |
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| Online Access: | https://journals.pan.pl/Content/135754/22_5151_Poczekajlo_L_sk.pdf |
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| _version_ | 1850103969572978688 |
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| author | Robert Wirski Paweł Poczekajło |
| author_facet | Robert Wirski Paweł Poczekajło |
| author_sort | Robert Wirski |
| collection | DOAJ |
| description | Based on an electrocardiogram filter, measurement methods of magnitude and phase responses, quantization and overflow errors, as well as limit circles in digital filters for fixed number representation are presented. A computer library for SCILAB has been created to simplify simulations. Direct form II, cascade, and rotation structures performance has been compared. It has been shown that there is no the best structure but the rotation one is superior to classical structures except for quantization errors. However, due to its low overflow errors, quantization noise can be further minimised by relocation of integer bits to fractional part of fixed point number representation. |
| format | Article |
| id | doaj-art-6f3cbd77cdf94017993408f4e54b9238 |
| institution | DOAJ |
| issn | 2081-8491 2300-1933 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | International Journal of Electronics and Telecommunications |
| spelling | doaj-art-6f3cbd77cdf94017993408f4e54b92382025-08-20T02:39:25ZengPolish Academy of SciencesInternational Journal of Electronics and Telecommunications2081-84912300-19332025-07-01vol. 71No 3https://doi.org/10.24425/ijet.2025.153611Error analysis of digital filters using fixed point arithmeticRobert Wirski0Paweł Poczekajło1Faculty of Electronics and Computer Science, Koszalin University of Technology, Koszalin, PolandFaculty of Electronics and Computer Science, Koszalin University of Technology, Koszalin, PolandBased on an electrocardiogram filter, measurement methods of magnitude and phase responses, quantization and overflow errors, as well as limit circles in digital filters for fixed number representation are presented. A computer library for SCILAB has been created to simplify simulations. Direct form II, cascade, and rotation structures performance has been compared. It has been shown that there is no the best structure but the rotation one is superior to classical structures except for quantization errors. However, due to its low overflow errors, quantization noise can be further minimised by relocation of integer bits to fractional part of fixed point number representation.https://journals.pan.pl/Content/135754/22_5151_Poczekajlo_L_sk.pdfdigital signal processingfinite word length effectssimulationquantizationoverflow |
| spellingShingle | Robert Wirski Paweł Poczekajło Error analysis of digital filters using fixed point arithmetic International Journal of Electronics and Telecommunications digital signal processing finite word length effects simulation quantization overflow |
| title | Error analysis of digital filters using fixed point arithmetic |
| title_full | Error analysis of digital filters using fixed point arithmetic |
| title_fullStr | Error analysis of digital filters using fixed point arithmetic |
| title_full_unstemmed | Error analysis of digital filters using fixed point arithmetic |
| title_short | Error analysis of digital filters using fixed point arithmetic |
| title_sort | error analysis of digital filters using fixed point arithmetic |
| topic | digital signal processing finite word length effects simulation quantization overflow |
| url | https://journals.pan.pl/Content/135754/22_5151_Poczekajlo_L_sk.pdf |
| work_keys_str_mv | AT robertwirski erroranalysisofdigitalfiltersusingfixedpointarithmetic AT pawełpoczekajło erroranalysisofdigitalfiltersusingfixedpointarithmetic |