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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Bibliographic Details
Published in:International Journal of Electronics and Telecommunications Vol. 71; no. 3; p. 1
Main Authors: Wirski, Robert, Poczekajło, Paweł
Format: Journal Article
Language:English
Published: Warsaw Polish Academy of Sciences 01.07.2025
Subjects:
Design
Digital filters
digital signal processing
Electrocardiography
Error analysis
finite word length effects
Fixed point arithmetic
Measurement methods
overflow
quantization
Relocation
Representations
Rotation
Signal processing
simulation
ISSN:2081-8491, 2300-1933
Online Access:Get full text
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Summary: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.
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ISSN:2081-8491
2300-1933
DOI:10.24425/ijet.2025.153611