{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,9]],"date-time":"2025-11-09T07:50:23Z","timestamp":1762674623724,"version":"3.37.3"},"reference-count":40,"publisher":"Springer Science and Business Media LLC","issue":"8","license":[{"start":{"date-parts":[[2023,3,17]],"date-time":"2023-03-17T00:00:00Z","timestamp":1679011200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,3,17]],"date-time":"2023-03-17T00:00:00Z","timestamp":1679011200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Circuits Syst Signal Process"],"published-print":{"date-parts":[[2023,8]]},"DOI":"10.1007\/s00034-023-02334-1","type":"journal-article","created":{"date-parts":[[2023,3,17]],"date-time":"2023-03-17T06:02:56Z","timestamp":1679032976000},"page":"4836-4867","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Multi-objective Approach for IIR Filter Design and Bit-Width Optimization"],"prefix":"10.1007","volume":"42","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1877-4656","authenticated-orcid":false,"given":"Mohammed","family":"Zelmat","sequence":"first","affiliation":[]},{"given":"El-Sedik","family":"Lamini","sequence":"additional","affiliation":[]},{"given":"Samir","family":"Tagzout","sequence":"additional","affiliation":[]},{"given":"Hac\u00e8ne","family":"Belbachir","sequence":"additional","affiliation":[]},{"given":"Adel","family":"Belouchrani","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,3,17]]},"reference":[{"issue":"5","key":"2334_CR1","doi-asserted-by":"publisher","first-page":"2187","DOI":"10.1007\/s00034-018-0959-5","volume":"38","author":"N Agrawal","year":"2019","unstructured":"N. Agrawal, A. Kumar, V. Bajaj, A new method for designing of stable digital IIR filter using hybrid method. Circuits Syst. Signal Process. 38(5), 2187\u20132226 (2019)","journal-title":"Circuits Syst. Signal Process."},{"issue":"5","key":"2334_CR2","doi-asserted-by":"publisher","first-page":"702","DOI":"10.1109\/TC.2018.2882537","volume":"68","author":"R Bellal","year":"2018","unstructured":"R. Bellal, E.S. Lamini, H. Belbachir, S. Tagzout, A. Belouchrani, Improved affine arithmetic-based precision analysis for polynomial function evaluation. IEEE Trans. Comput. 68(5), 702\u2013712 (2018)","journal-title":"IEEE Trans. Comput."},{"issue":"11","key":"2334_CR3","doi-asserted-by":"publisher","first-page":"1691","DOI":"10.1109\/TCAD.2011.2161307","volume":"30","author":"D Boland","year":"2011","unstructured":"D. Boland, G.A. Constantinides, Bounding variable values and round-off effects using Handelman representations. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 30(11), 1691\u20131704 (2011)","journal-title":"IEEE Trans. Comput. Aided Des. Integr. Circuits Syst."},{"key":"2334_CR4","volume-title":"One-dimensional digital signal processing","author":"CT Chen","year":"1979","unstructured":"C.T. Chen, C. Chen et al., One-dimensional digital signal processing, vol. 9 (CRC Press, Boca Raton, 1979)"},{"issue":"3","key":"2334_CR5","doi-asserted-by":"publisher","first-page":"241","DOI":"10.1006\/dspr.2000.0384","volume":"11","author":"S Chen","year":"2001","unstructured":"S. Chen, R. Istepanian, B.L. Luk, Digital IIR filter design using adaptive simulated annealing. Digit. Signal Process. 11(3), 241\u2013251 (2001)","journal-title":"Digit. Signal Process."},{"issue":"4","key":"2334_CR6","doi-asserted-by":"publisher","first-page":"327","DOI":"10.1504\/IJMIC.2010.033208","volume":"9","author":"S Chen","year":"2010","unstructured":"S. Chen, B.L. Luk, Digital IIR filter design using particle swarm optimisation. Int. J. Model. Ident. Control 9(4), 327\u2013335 (2010)","journal-title":"Int. J. Model. Ident. Control"},{"key":"2334_CR7","unstructured":"J.L.D. Comba, J. Stol, A ne arithmetic and its applications to computer graphics. Proceedings of VI SIBGRAPI (Brazilian Symposium on Computer Graphics and Image Processing), (Citeseer, 1993), pp. 9\u201318"},{"key":"2334_CR8","unstructured":"G.A. Constantinides, P.Y. Cheung, W. Luk, The multiple wordlength paradigm. The 9th Annual IEEE Symposium on Field-Programmable Custom Computing Machines (FCCM\u201901), (IEEE, 2001), pp. 51\u201360"},{"issue":"2","key":"2334_CR9","doi-asserted-by":"publisher","first-page":"137","DOI":"10.1016\/S0893-9659(01)00107-0","volume":"15","author":"GA Constantinides","year":"2002","unstructured":"G.A. Constantinides, G.J. Woeginger, The complexity of multiple wordlength assignment. Appl. Math. Lett. 15(2), 137\u2013140 (2002)","journal-title":"Appl. Math. Lett."},{"issue":"5","key":"2334_CR10","doi-asserted-by":"crossref","first-page":"1710","DOI":"10.1109\/TIE.2009.2031194","volume":"57","author":"C Dai","year":"2009","unstructured":"C. Dai, W. Chen, Y. Zhu, Seeker optimization algorithm for digital IIR filter design. IEEE Trans. Industr. Electron. 57(5), 1710\u20131718 (2009)","journal-title":"IEEE Trans. Industr. Electron."},{"issue":"2","key":"2334_CR11","doi-asserted-by":"publisher","first-page":"182","DOI":"10.1109\/4235.996017","volume":"6","author":"K Deb","year":"2002","unstructured":"K. Deb, A. Pratap, S. Agarwal, T. Meyarivan, A fast and elitist multiobjective genetic algorithm: NSGA-ii. IEEE Trans. Evol. Comput. 6(2), 182\u2013197 (2002)","journal-title":"IEEE Trans. Evol. Comput."},{"issue":"1","key":"2334_CR12","doi-asserted-by":"publisher","first-page":"270","DOI":"10.1007\/s00034-016-0304-9","volume":"36","author":"KK Dhaliwal","year":"2017","unstructured":"K.K. Dhaliwal, J.S. Dhillon, Integrated cat swarm optimization and differential evolution algorithm for optimal IIR filter design in multi-objective framework. Circuits Syst. Signal Process. 36(1), 270\u2013296 (2017)","journal-title":"Circuits Syst. Signal Process."},{"issue":"4","key":"2334_CR13","doi-asserted-by":"publisher","first-page":"328","DOI":"10.1016\/j.jfranklin.2008.11.003","volume":"346","author":"N Karaboga","year":"2009","unstructured":"N. Karaboga, A new design method based on artificial bee colony algorithm for digital IIR filters. J. Frankl. Inst. 346(4), 328\u2013348 (2009)","journal-title":"J. Frankl. Inst."},{"issue":"3","key":"2334_CR14","doi-asserted-by":"publisher","first-page":"301","DOI":"10.1016\/j.engappai.2004.02.009","volume":"17","author":"N Karaboga","year":"2004","unstructured":"N. Karaboga, A. Kalinli, D. Karaboga, Designing digital IIR filters using ant colony optimisation algorithm. Eng. Appl. Artif. Intell. 17(3), 301\u2013309 (2004)","journal-title":"Eng. Appl. Artif. Intell."},{"issue":"5","key":"2334_CR15","doi-asserted-by":"publisher","first-page":"635","DOI":"10.1016\/0016-0032(88)90038-5","volume":"325","author":"NB Karayiannis","year":"1988","unstructured":"N.B. Karayiannis, S.J. Varoufakis, A.N. Venetsanopoulos, Design of symmetric 2-d IIR digital filters with finite word length coefficients. J. Frankl. Inst. 325(5), 635\u2013651 (1988)","journal-title":"J. Frankl. Inst."},{"issue":"8","key":"2334_CR16","doi-asserted-by":"publisher","first-page":"921","DOI":"10.1109\/43.936374","volume":"20","author":"KI Kum","year":"2001","unstructured":"K.I. Kum, W. Sung, Combined word-length optimization and high-level synthesis of digital signal processing systems. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 20(8), 921\u2013930 (2001)","journal-title":"IEEE Trans. Comput. Aided Des. Integr. Circuits Syst."},{"key":"2334_CR17","doi-asserted-by":"crossref","unstructured":"E.s. Lamini, R. Bellal, S. Tagzout, H. Belbachir, A. Belouchrani, Enhanced bit-width optimization for linear circuits with feedbacks. 2014 9th International Design and Test Symposium (IDT), (IEEE, 2014), pp. 168\u2013173","DOI":"10.1109\/IDT.2014.7038607"},{"issue":"5","key":"2334_CR18","doi-asserted-by":"publisher","first-page":"563","DOI":"10.1049\/iet-cds.2017.0514","volume":"12","author":"ES Lamini","year":"2018","unstructured":"E.S. Lamini, S. Tagzout, H. Belbachir, A. Belouchrani, Precision analysis with analytical bit-width optimisation process for linear circuits with feedbacks. IET Circuits Devices Syst. 12(5), 563\u2013570 (2018)","journal-title":"IET Circuits Devices Syst."},{"issue":"10","key":"2334_CR19","doi-asserted-by":"publisher","first-page":"1990","DOI":"10.1109\/TCAD.2006.873887","volume":"25","author":"DU Lee","year":"2006","unstructured":"D.U. Lee, A.A. Gaffar, R.C. Cheung, O. Mencer, W. Luk, G.A. Constantinides, Accuracy-guaranteed bit-width optimization. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 25(10), 1990\u20132000 (2006)","journal-title":"IEEE Trans. Comput. Aided Des. Integr. Circuits Syst."},{"key":"2334_CR20","doi-asserted-by":"crossref","unstructured":"K. Loubna, B. Bachir, Z. Izeddine, Optimal digital IIR filter design using ant colony optimization. 2018 4th International Conference on Optimization and Applications (ICOA), (IEEE, 2018), pp. 1\u20135","DOI":"10.1109\/ICOA.2018.8370500"},{"issue":"4","key":"2334_CR21","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/3015465","volume":"43","author":"V Magron","year":"2017","unstructured":"V. Magron, G. Constantinides, A. Donaldson, Certified roundoff error bounds using semidefinite programming. ACM Trans. Math. Softw. (TOMS) 43(4), 1\u201331 (2017)","journal-title":"ACM Trans. Math. Softw. (TOMS)"},{"issue":"5","key":"2334_CR22","doi-asserted-by":"publisher","first-page":"634","DOI":"10.1109\/TCSI.2003.811019","volume":"50","author":"NE Mastorakis","year":"2003","unstructured":"N.E. Mastorakis, I.F. Gonos, M. Swamy, Design of two-dimensional recursive filters using genetic algorithms. IEEE Trans. Circuits Syst. I Fundam. Theory Appl. 50(5), 634\u2013639 (2003)","journal-title":"IEEE Trans. Circuits Syst. I Fundam. Theory Appl."},{"key":"2334_CR23","doi-asserted-by":"crossref","unstructured":"D. Menard, G. Caffarena, J.A. Lopez, D. Novo, O. Sentieys, Fixed-point refinement of digital signal processing systems (2019)","DOI":"10.1049\/PBCS040E_ch8"},{"key":"2334_CR24","doi-asserted-by":"crossref","unstructured":"Y. Pang, K. Radecka, Z. Zilic, An efficient hybrid engine to perform range analysis and allocate integer bit-widths for arithmetic circuits. 16th Asia and South Pacific Design Automation Conference (ASP-DAC 2011), (IEEE, 2011), pp. 455\u2013460","DOI":"10.1109\/ASPDAC.2011.5722233"},{"key":"2334_CR25","unstructured":"N. Revol, Introduction \u00e0 l\u2019arithm\u00e9tique par intervalles (2001)"},{"key":"2334_CR26","doi-asserted-by":"publisher","first-page":"47","DOI":"10.17485\/ijst\/2016\/v9i47\/102764","volume":"9","author":"RC Sanghvi","year":"2016","unstructured":"R.C. Sanghvi, H.B. Soni, Multi-objective IIR filter design using non-dominated sorting genetic algorithm-II. Indian J. Sci. Technol. 9, 47 (2016). https:\/\/doi.org\/10.17485\/ijst\/2016\/v9i47\/102764","journal-title":"Indian J. Sci. Technol."},{"key":"2334_CR27","doi-asserted-by":"crossref","unstructured":"O. Sarbishei, Y. Pang, K. Radecka, Analysis of range and precision for fixed-point linear arithmetic circuits with feedbacks. 2010 IEEE International High Level Design Validation and Test Workshop (HLDVT), (IEEE, 2010), pp. 25\u201332","DOI":"10.1109\/HLDVT.2010.5496667"},{"issue":"3","key":"2334_CR28","doi-asserted-by":"publisher","first-page":"343","DOI":"10.1109\/TCAD.2011.2170988","volume":"31","author":"O Sarbishei","year":"2012","unstructured":"O. Sarbishei, K. Radecka, Z. Zilic, Analytical optimization of bit-widths in fixed-point lti systems. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 31(3), 343\u2013355 (2012)","journal-title":"IEEE Trans. Comput. Aided Des. Integr. Circuits Syst."},{"key":"2334_CR29","doi-asserted-by":"crossref","unstructured":"C. Shi, R.W. Brodersen, Automated fixed-point data-type optimization tool for signal processing and communication systems. Proceedings of the 41st annual Design Automation Conference (2004) , pp. 478\u2013483","DOI":"10.1145\/996566.996700"},{"issue":"5","key":"2334_CR30","doi-asserted-by":"publisher","first-page":"2117","DOI":"10.1007\/s00034-017-0656-9","volume":"37","author":"D Sidhu","year":"2018","unstructured":"D. Sidhu, J. Dhillon, Design of digital IIR filter with conflicting objectives using hybrid predator-prey optimization. Circuits Syst. Signal Process. 37(5), 2117\u20132141 (2018)","journal-title":"Circuits Syst. Signal Process."},{"key":"2334_CR31","doi-asserted-by":"crossref","unstructured":"R. Singh, S.K. Arya, Genetic algorithm for the design of optimal IIR digital filters (2012)","DOI":"10.4236\/jsip.2012.33038"},{"issue":"1","key":"2334_CR32","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1016\/j.cam.2008.07.014","volume":"227","author":"K Theofilatos","year":"2009","unstructured":"K. Theofilatos, G. Beligiannis, S. Likothanassis, Combining evolutionary and stochastic gradient techniques for system identification. J. Comput. Appl. Math. 227(1), 147\u2013160 (2009)","journal-title":"J. Comput. Appl. Math."},{"issue":"2","key":"2334_CR33","doi-asserted-by":"publisher","first-page":"163","DOI":"10.1016\/S0165-1684(97)00122-9","volume":"62","author":"HLN Thi","year":"1997","unstructured":"H.L.N. Thi, S. Van Gerven, C. Jutten, D. Van Compernolle, Stability study for source separation in convolutive mixtures of two sources. Signal Process. 62(2), 163\u2013171 (1997)","journal-title":"Signal Process."},{"issue":"5","key":"2334_CR34","doi-asserted-by":"publisher","first-page":"369","DOI":"10.1016\/j.aeue.2013.10.003","volume":"68","author":"P Upadhyay","year":"2014","unstructured":"P. Upadhyay, R. Kar, D. Mandal, S. Ghoshal, Craziness based particle swarm optimization algorithm for IIR system identification problem. AEU-Int. J. Electron. Commun. 68(5), 369\u2013378 (2014)","journal-title":"AEU-Int. J. Electron. Commun."},{"issue":"5","key":"2334_CR35","doi-asserted-by":"publisher","first-page":"2454","DOI":"10.1016\/j.jfranklin.2014.01.001","volume":"351","author":"P Upadhyay","year":"2014","unstructured":"P. Upadhyay, R. Kar, D. Mandal, S. Ghoshal, V. Mukherjee, A novel design method for optimal IIR system identification using opposition based harmony search algorithm. J. Frankl. Inst. 351(5), 2454\u20132488 (2014)","journal-title":"J. Frankl. Inst."},{"issue":"12","key":"2334_CR36","doi-asserted-by":"publisher","first-page":"1853","DOI":"10.1109\/TCAD.2013.2277978","volume":"32","author":"S Vakili","year":"2013","unstructured":"S. Vakili, J.P. Langlois, G. Bois, Enhanced precision analysis for accuracy-aware bit-width optimization using affine arithmetic. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 32(12), 1853\u20131865 (2013)","journal-title":"IEEE Trans. Comput. Aided Des. Integr. Circuits Syst."},{"key":"2334_CR37","doi-asserted-by":"publisher","first-page":"164","DOI":"10.1016\/j.ins.2015.09.011","volume":"329","author":"J Wang","year":"2016","unstructured":"J. Wang, P. Shi, H. Peng, Membrane computing model for IIR filter design. Inf. Sci. 329, 164\u2013176 (2016)","journal-title":"Inf. Sci."},{"issue":"2","key":"2334_CR38","doi-asserted-by":"publisher","first-page":"1851","DOI":"10.1016\/j.asoc.2010.05.034","volume":"11","author":"Y Wang","year":"2011","unstructured":"Y. Wang, B. Li, Y. Chen, Digital IIR filter design using multi-objective optimization evolutionary algorithm. Appl. Soft Comput. 11(2), 1851\u20131857 (2011)","journal-title":"Appl. Soft Comput."},{"issue":"3","key":"2334_CR39","doi-asserted-by":"publisher","first-page":"1311","DOI":"10.1109\/TIE.2007.893063","volume":"54","author":"Y Yu","year":"2007","unstructured":"Y. Yu, Y. Xinjie, Cooperative coevolutionary genetic algorithm for digital iir filter design. IEEE Trans. Industr. Electron. 54(3), 1311\u20131318 (2007)","journal-title":"IEEE Trans. Industr. Electron."},{"key":"2334_CR40","doi-asserted-by":"publisher","first-page":"4512","DOI":"10.1007\/s00034-022-01988-7","volume":"41","author":"M Zelmat","year":"2022","unstructured":"M. Zelmat, E.S. Lamini, S. Tagzout, H. Belbachir, A. Belouchrani, Precision analysis for an optimal parallel IIR filter\u2019s implementation. Circuits Syst. Signal Process. 41, 4512\u20134546 (2022)","journal-title":"Circuits Syst. Signal Process."}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-023-02334-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00034-023-02334-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-023-02334-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,7,10]],"date-time":"2023-07-10T05:07:29Z","timestamp":1688965649000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00034-023-02334-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,3,17]]},"references-count":40,"journal-issue":{"issue":"8","published-print":{"date-parts":[[2023,8]]}},"alternative-id":["2334"],"URL":"https:\/\/doi.org\/10.1007\/s00034-023-02334-1","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"type":"print","value":"0278-081X"},{"type":"electronic","value":"1531-5878"}],"subject":[],"published":{"date-parts":[[2023,3,17]]},"assertion":[{"value":"2 February 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"22 February 2023","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 February 2023","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 March 2023","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}