Unified Filter Order Estimate for Minimax-Designed Linear-Phase FIR Wideband and Lowpass Digital Differentiators

Author:

Wang YinanORCID,Deng Mingxin,Johansson Håkan,Li Zhiwei,Li Qingjiang

Abstract

AbstractDigital differentiators enable the computation of the derivative of a continuous-time signal at discrete time instances, and they are used in many signal processing applications. This paper derives a unified filter order estimate for digital differentiators that are realized with linear-phase finite-length impulse response filters and designed in the minimax sense. The estimate is useful at the high-level system design when assessing the implementation complexity and it enables fewer designs when finding the minimal filter order required to satisfy a prescribed tolerable approximation error. The proposed unified estimate covers both wideband and lowpass differentiators of integer degrees up to ten. Furthermore, degree-individual filter order estimates are derived which improve and extend previous results. The performance of both the unified and degree-individual order estimates is evaluated through simulation examples and compared with previous estimates.

Funder

National Natural Science Foundation of China

Key Technologies Research and Development Program

Linköping University

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Signal Processing

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Performance Comparison of Digital Differentiators using MVO Based Algorithm;2023 International Conference on Evolutionary Algorithms and Soft Computing Techniques (EASCT);2023-10-20

2. Design of Digital Differentiator Based on Interpolated and Multirate Technique;2023 International Conference on Evolutionary Algorithms and Soft Computing Techniques (EASCT);2023-10-20

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