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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.<\/jats:p>","DOI":"10.1007\/s00034-023-02442-y","type":"journal-article","created":{"date-parts":[[2023,7,12]],"date-time":"2023-07-12T10:02:01Z","timestamp":1689156121000},"page":"6966-6987","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Unified Filter Order Estimate for Minimax-Designed Linear-Phase FIR Wideband and Lowpass Digital Differentiators"],"prefix":"10.1007","volume":"42","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1558-960X","authenticated-orcid":false,"given":"Yinan","family":"Wang","sequence":"first","affiliation":[]},{"given":"Mingxin","family":"Deng","sequence":"additional","affiliation":[]},{"given":"H\u00e5kan","family":"Johansson","sequence":"additional","affiliation":[]},{"given":"Zhiwei","family":"Li","sequence":"additional","affiliation":[]},{"given":"Qingjiang","family":"Li","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,7,12]]},"reference":[{"issue":"10","key":"2442_CR1","doi-asserted-by":"publisher","first-page":"5054","DOI":"10.1007\/s00034-021-01710-z","volume":"40","author":"J Ababneh","year":"2021","unstructured":"J. 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