{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,4]],"date-time":"2026-05-04T16:09:41Z","timestamp":1777910981484,"version":"3.51.4"},"reference-count":35,"publisher":"SAGE Publications","issue":"1","license":[{"start":{"date-parts":[[2024,11,27]],"date-time":"2024-11-27T00:00:00Z","timestamp":1732665600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Transactions of the Institute of Measurement and Control"],"published-print":{"date-parts":[[2026,1]]},"abstract":"<jats:p>\n                    In this paper, a finite impulse response (FIR) digital filter is redesigned to approximate a delayed analog one via sampled-data\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:msub>\n                            <mml:mrow>\n                              <mml:mi>H<\/mml:mi>\n                            <\/mml:mrow>\n                            <mml:mrow>\n                              <mml:mi>\u221e<\/mml:mi>\n                            <\/mml:mrow>\n                          <\/mml:msub>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    discretization in low-frequency domain. First, based on a continuous-time lifting technique, an infinite-dimensional error system is obtained by comparing the delayed analog filter with the FIR digital filter accompanied by an ideal sampler in front and a zero-order holder behind. Then, a finite-dimensional error system, which is satisfied with an equivalent\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:msub>\n                            <mml:mrow>\n                              <mml:mi>H<\/mml:mi>\n                            <\/mml:mrow>\n                            <mml:mrow>\n                              <mml:mi>\u221e<\/mml:mi>\n                            <\/mml:mrow>\n                          <\/mml:msub>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    norm with infinite dimensional in low-frequency domain, is acquired by a fast sampling\/holding approximation and a discrete-time lifting technique. Furthermore, the FIR digital filter is attained with stability and\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:msub>\n                            <mml:mrow>\n                              <mml:mi>H<\/mml:mi>\n                            <\/mml:mrow>\n                            <mml:mrow>\n                              <mml:mi>\u221e<\/mml:mi>\n                            <\/mml:mrow>\n                          <\/mml:msub>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    performance for the finite-dimensional error system in low-frequency domain. Finally, a numerical example is presented to show the validity and superiority of the FIR digital filter redesign.\n                  <\/jats:p>","DOI":"10.1177\/01423312241277300","type":"journal-article","created":{"date-parts":[[2024,11,28]],"date-time":"2024-11-28T02:31:12Z","timestamp":1732761072000},"page":"164-174","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["FIR digital filter redesign via sampled-data\n                    <i>\n                      H\n                      <sub>\u221e<\/sub>\n                    <\/i>\n                    discretization in low-frequency domain"],"prefix":"10.1177","volume":"48","author":[{"given":"Shuaiying","family":"Wang","sequence":"first","affiliation":[{"name":"Center for Systems and Control, College of Engineering, Peking University, China"},{"name":"School of Electrical and Information Engineering, Tianjin University, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4928-3246","authenticated-orcid":false,"given":"Peng","family":"Li","sequence":"additional","affiliation":[{"name":"Tianjin Key Laboratory of Intelligent Unmanned Swarm Technology and System, School of Electrical and Information Engineering, Tianjin University, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2024,11,27]]},"reference":[{"key":"e_1_3_2_2_1","doi-asserted-by":"publisher","DOI":"10.1016\/0167-6911(91)90033-B"},{"key":"e_1_3_2_3_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00153-007-0063-1"},{"key":"e_1_3_2_4_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00034-013-9704-2"},{"key":"e_1_3_2_5_1","doi-asserted-by":"publisher","DOI":"10.1002\/asjc.2482"},{"key":"e_1_3_2_6_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00034-014-9742-4"},{"issue":"2","key":"e_1_3_2_7_1","first-page":"117","article-title":"Operator inequalities related to Cauchy\u2013Schwarz and Holder\u2013McCarthy inequalities","volume":"8","author":"Fujii M","year":"1997","unstructured":"Fujii M, Izumino S, Nakamoto R, et al. 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