{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,19]],"date-time":"2025-03-19T15:48:33Z","timestamp":1742399313511,"version":"3.37.3"},"reference-count":35,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2019,9,28]],"date-time":"2019-09-28T00:00:00Z","timestamp":1569628800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,9,28]],"date-time":"2019-09-28T00:00:00Z","timestamp":1569628800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Circuits Syst Signal Process"],"published-print":{"date-parts":[[2020,5]]},"DOI":"10.1007\/s00034-019-01277-w","type":"journal-article","created":{"date-parts":[[2019,9,28]],"date-time":"2019-09-28T18:00:59Z","timestamp":1569693659000},"page":"2551-2573","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Configurable Rotation Matrix of Hyperbolic CORDIC for Any Logarithm and Its Inverse computation"],"prefix":"10.1007","volume":"39","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4938-4995","authenticated-orcid":false,"given":"Suresh","family":"Mopuri","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5636-0676","authenticated-orcid":false,"given":"Amit","family":"Acharyya","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,9,28]]},"reference":[{"issue":"8","key":"1277_CR1","doi-asserted-by":"publisher","first-page":"3997","DOI":"10.1109\/TSP.2011.2150219","volume":"59","author":"A Acharyya","year":"2011","unstructured":"A. Acharyya, K. Maharatna, B.M. Al-Hashimi, J. Reeve, Coordinate rotation based low complexity N-D FastICA algorithm and architecture. IEEE Trans. Signal Process. 59(8), 3997\u20134011 (2011). \nhttps:\/\/doi.org\/10.1109\/TSP.2011.2150219","journal-title":"IEEE Trans. Signal Process."},{"issue":"2","key":"1277_CR2","doi-asserted-by":"publisher","first-page":"314","DOI":"10.1109\/TCSI.2012.2215778","volume":"60","author":"S Aggarwal","year":"2013","unstructured":"S. Aggarwal, P.K. Meher, K. Khare, Scale-free hyperbolic CORDIC processor and its application to waveform generation. IEEE Trans. Circuits Syst. I Regul. Pap. 60(2), 314\u2013326 (2013). \nhttps:\/\/doi.org\/10.1109\/TCSI.2012.2215778","journal-title":"IEEE Trans. Circuits Syst. I Regul. Pap."},{"issue":"4","key":"1277_CR3","doi-asserted-by":"publisher","first-page":"1588","DOI":"10.1109\/TVLSI.2015.2445855","volume":"24","author":"S Aggarwal","year":"2016","unstructured":"S. Aggarwal, P.K. Meher, K. Khare, Concept, design, and implementation of reconfigurable CORDIC. IEEE Trans. Very Large Scale Integr. (VLSI) Syst. 24(4), 1588\u20131592 (2016). \nhttps:\/\/doi.org\/10.1109\/TVLSI.2015.2445855","journal-title":"IEEE Trans. Very Large Scale Integr. (VLSI) Syst."},{"key":"1277_CR4","doi-asserted-by":"publisher","unstructured":"L. Bangqiang, H. Ling, Y. Xiao, Base-N logarithm implementation on FPGA for the data with random decimal point positions. In IEEE 9th International Colloquium on Signal Processing and its Applications, Kuala Lumpur (2013), pp. 17\u201320. \nhttps:\/\/doi.org\/10.1109\/CSPA.2013.6530006","DOI":"10.1109\/CSPA.2013.6530006"},{"key":"1277_CR5","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1109\/12.67316","volume":"40","author":"S Bass","year":"1991","unstructured":"S. Bass, R. Harber, X. Hu, Expanding the range of convergence of the CORDIC algorithm. IEEE Trans. Comput. 40, 13\u201321 (1991). \nhttps:\/\/doi.org\/10.1109\/12.67316","journal-title":"IEEE Trans. Comput."},{"issue":"5","key":"1277_CR6","doi-asserted-by":"publisher","first-page":"1095","DOI":"10.1109\/TCSI.2010.2047744","volume":"57","author":"RC Chang","year":"2010","unstructured":"R.C. Chang, C. Lin, K. Lin, C. Huang, F. Chen, Iterative $$QR$$ decomposition architecture using the modified Gram\u2013Schmidt algorithm for MIMO systems. IEEE Trans. Circuits Syst. I Regul. Pap. 57(5), 1095\u20131102 (2010). \nhttps:\/\/doi.org\/10.1109\/TCSI.2010.2047744","journal-title":"IEEE Trans. Circuits Syst. I Regul. Pap."},{"issue":"10","key":"1277_CR7","doi-asserted-by":"publisher","first-page":"667","DOI":"10.1109\/TCSII.2011.2164159","volume":"58","author":"D De Caro","year":"2011","unstructured":"D. De Caro, N. Petra, A.G.M. Strollo, Efficient logarithmic converters for digital signal processing applications. IEEE Trans. Circuits Syst. II Express Briefs 58(10), 667\u2013671 (2011). \nhttps:\/\/doi.org\/10.1109\/TCSII.2011.2164159","journal-title":"IEEE Trans. Circuits Syst. II Express Briefs"},{"issue":"8","key":"1277_CR8","doi-asserted-by":"publisher","first-page":"107","DOI":"10.1109\/35.783133","volume":"37","author":"C Dick","year":"1999","unstructured":"C. Dick, F.J. Harris, Configurable logic for digital communications: some signal processing perspectives. IEEE Commun. Mag. 37(8), 107\u2013111 (1999). \nhttps:\/\/doi.org\/10.1109\/35.783133","journal-title":"IEEE Commun. Mag."},{"issue":"12","key":"1277_CR9","doi-asserted-by":"publisher","first-page":"2326","DOI":"10.1109\/TVLSI.2010.2081387","volume":"19","author":"R Gutierrez","year":"2011","unstructured":"R. Gutierrez, J. Valls, Low cost hardware implementation of logarithm approximation. IEEE Trans. Very Large Scale Integr. (VLSI) Syst. 19(12), 2326\u20132330 (2011). \nhttps:\/\/doi.org\/10.1109\/TVLSI.2010.2081387","journal-title":"IEEE Trans. Very Large Scale Integr. (VLSI) Syst."},{"issue":"2","key":"1277_CR10","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1109\/T-C.1970.222874","volume":"C\u201319","author":"EL Hall","year":"1970","unstructured":"E.L. Hall, D.D. Lynch, S.J. Dwyer, Generation of products and quotients using approximate binary logarithms for digital filtering applications. IEEE Trans. Comput. C\u201319(2), 97\u2013105 (1970). \nhttps:\/\/doi.org\/10.1109\/T-C.1970.222874","journal-title":"IEEE Trans. Comput."},{"key":"1277_CR11","doi-asserted-by":"publisher","unstructured":"G. Helvacioglu, A.B.K.Y.K. Alp, C. Kasnakoglu, Reduced CORDIC based logarithmic convertor. In 25th Signal Processing and Communications Applications Conference (SIU). Antalya (2017), pp. 1\u20134. \nhttps:\/\/doi.org\/10.1109\/SIU.2017.7960483","DOI":"10.1109\/SIU.2017.7960483"},{"issue":"3","key":"1277_CR12","doi-asserted-by":"publisher","first-page":"16","DOI":"10.1109\/79.143467","volume":"9","author":"YH Hu","year":"1992","unstructured":"Y.H. Hu, CORDIC-based VLSI architectures for digital signal processing. IEEE Signal Process. Mag. 9(3), 16\u201335 (1992). \nhttps:\/\/doi.org\/10.1109\/79.143467","journal-title":"IEEE Signal Process. Mag."},{"issue":"1","key":"1277_CR13","doi-asserted-by":"publisher","first-page":"331","DOI":"10.1109\/78.365320","volume":"43","author":"YH Hu","year":"1995","unstructured":"Y.H. Hu, Z. Wu, An efficient CORDIC array structure for the implementation of discrete cosine transform. IEEE Trans. Signal Process. 43(1), 331\u2013336 (1995). \nhttps:\/\/doi.org\/10.1109\/78.365320","journal-title":"IEEE Trans. Signal Process."},{"issue":"12","key":"1277_CR14","doi-asserted-by":"publisher","first-page":"931","DOI":"10.1109\/TCSII.2009.2035270","volume":"56","author":"T Juang","year":"2009","unstructured":"T. Juang, S. Chen, H. Cheng, A lower error and ROM-free logarithmic converter for digital signal processing applications. IEEE Trans. Circuits Syst. II Express Briefs 56(12), 931\u2013935 (2009). \nhttps:\/\/doi.org\/10.1109\/TCSII.2009.2035270","journal-title":"IEEE Trans. Circuits Syst. II Express Briefs"},{"key":"1277_CR15","unstructured":"J. Kaur, L. Sood, Comparison between various types of adder topologies. In IJCST, vol. 6, no. 1 (2015)"},{"issue":"4","key":"1277_CR16","doi-asserted-by":"publisher","first-page":"755","DOI":"10.1109\/TCSI.2005.844109","volume":"52","author":"Z Liu","year":"2005","unstructured":"Z. Liu, K. Dickson, J.V. McCanny, Application-specific instruction set processor for SoC implementation of modern signal processing algorithms. IEEE Trans. Circuits Syst. I Regul. Pap. 52(4), 755\u2013765 (2005)","journal-title":"IEEE Trans. Circuits Syst. I Regul. Pap."},{"issue":"1","key":"1277_CR17","doi-asserted-by":"publisher","first-page":"321","DOI":"10.1007\/s00034-013-9638-8","volume":"33","author":"Y Liu","year":"2014","unstructured":"Y. Liu, L. Fan, T. Ma, A modified CORDIC FPGA implementation for wave generation. Circuits Syst. Signal Process. 33(1), 321\u2013329 (2014). \nhttps:\/\/doi.org\/10.1007\/s00034-013-9638-8","journal-title":"Circuits Syst. Signal Process."},{"key":"1277_CR18","unstructured":"M. Lohning, T. Hentschel, G. Fettweis, Digital down conversion in software radio terminals. In 10th European Signal Processing Conference, Tampere (2000), pp. 1\u20134"},{"key":"1277_CR19","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2018.2835822","author":"Y Luo","year":"2018","unstructured":"Y. Luo, Y. Wang, H. Sun, Y. Zha, Z. Wang, H. Pan, CORDIC-based architecture for computing Nth root and its implementation. IEEE Trans. Circuits Syst. I Regul. Pap. (2018). \nhttps:\/\/doi.org\/10.1109\/TCSI.2018.2835822","journal-title":"IEEE Trans. Circuits Syst. I Regul. Pap."},{"issue":"4","key":"1277_CR20","doi-asserted-by":"publisher","first-page":"1858","DOI":"10.1109\/TSP.2011.2105485","volume":"59","author":"L Ma","year":"2011","unstructured":"L. Ma, K. Dickson, J. McAllister, J. McCanny, QR decomposition-based matrix inversion for high performance embedded MIMO receivers. IEEE Trans. Signal Process. 59(4), 1858\u20131867 (2011). \nhttps:\/\/doi.org\/10.1109\/TSP.2011.2105485","journal-title":"IEEE Trans. Signal Process."},{"issue":"9","key":"1277_CR21","doi-asserted-by":"publisher","first-page":"1893","DOI":"10.1109\/TCSI.2009.2025803","volume":"56","author":"P Meher","year":"2009","unstructured":"P. Meher, J. Valls, T.-B. Juang, K. Sridharan, K. Maharatna, 50 years of CORDIC: algorithms, architectures, and applications. IEEE Trans. Circuits Syst. I Regul. Pap. 56(9), 1893\u20131907 (2009)","journal-title":"IEEE Trans. Circuits Syst. I Regul. Pap."},{"issue":"11","key":"1277_CR22","doi-asserted-by":"publisher","first-page":"3255","DOI":"10.1109\/TVLSI.2017.2740343","volume":"25","author":"S Mopuri","year":"2017","unstructured":"S. Mopuri, A. Acharyya, Low-complexity methodology for complex square-root computation. IEEE Trans. Very Large Scale Integr. (VLSI) Syst. 25(11), 3255\u20133259 (2017). \nhttps:\/\/doi.org\/10.1109\/TVLSI.2017.2740343","journal-title":"IEEE Trans. Very Large Scale Integr. (VLSI) Syst."},{"key":"1277_CR23","doi-asserted-by":"publisher","DOI":"10.1109\/TCSII.2018.2878599","author":"S Mopuri","year":"2018","unstructured":"S. Mopuri, S. Bhardwaj, A. Acharyya, Coordinate rotation based design methodology for square root and division computation. IEEE Trans. Circuits. Syst. II Express Briefs (2018). \nhttps:\/\/doi.org\/10.1109\/TCSII.2018.2878599","journal-title":"IEEE Trans. Circuits. Syst. II Express Briefs"},{"issue":"9","key":"1277_CR24","doi-asserted-by":"publisher","first-page":"861","DOI":"10.1109\/TCSII.2015.2435753","volume":"62","author":"SD Munoz","year":"2015","unstructured":"S.D. Munoz, J. Hormigo, High-throughput FPGA implementation of QR decomposition. IEEE Trans. Circuits Syst. II Express Briefs 62(9), 861\u2013865 (2015). \nhttps:\/\/doi.org\/10.1109\/TCSII.2015.2435753","journal-title":"IEEE Trans. Circuits Syst. II Express Briefs"},{"issue":"2\u20133","key":"1277_CR25","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1023\/A:1008145506415","volume":"24","author":"Mencer Oskar","year":"2000","unstructured":"Mencer Oskar, Luc Semeria, Martin Morf, Jean-Marc Delosme, Application of reconfigurable CORDIC architectures. J. VLSI Signal Process. Syst. Signal Image Video Technol. 24(2\u20133), 211\u2013221 (2000)","journal-title":"J. VLSI Signal Process. Syst. Signal Image Video Technol."},{"issue":"12","key":"1277_CR26","doi-asserted-by":"publisher","first-page":"6245","DOI":"10.1109\/TSP.2012.2214218","volume":"60","author":"SY Park","year":"2012","unstructured":"S.Y. Park, Y.J. Yu, Fixed-point analysis and parameter selections of MSR-CORDIC with applications to FFT designs. IEEE Trans. Signal Process. 60(12), 6245\u20136256 (2012). \nhttps:\/\/doi.org\/10.1109\/TSP.2012.2214218","journal-title":"IEEE Trans. Signal Process."},{"issue":"2","key":"1277_CR27","doi-asserted-by":"publisher","first-page":"269","DOI":"10.1109\/TVLSI.2008.2003481","volume":"17","author":"S Paul","year":"2009","unstructured":"S. Paul, N. Jayakumar, S.P. Khatri, A fast hardware approach for approximate, efficient logarithm and antilogarithm computations. IEEE Trans. Very Large Scale Integr. (VLSI) Syst. 17(2), 269\u2013277 (2009). \nhttps:\/\/doi.org\/10.1109\/TVLSI.2008.2003481","journal-title":"IEEE Trans. Very Large Scale Integr. (VLSI) Syst."},{"key":"1277_CR28","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2019.2895560","author":"J Qiu","year":"2019","unstructured":"J. Qiu, K. Sun, T. Wang, H. Gao, Observer-based fuzzy adaptive event-triggered control for pure-feedback nonlinear systems with prescribed performance. IEEE Trans. Fuzzy Syst. (2019). \nhttps:\/\/doi.org\/10.1109\/TFUZZ.2019.2895560","journal-title":"IEEE Trans. Fuzzy Syst."},{"issue":"8","key":"1277_CR29","doi-asserted-by":"publisher","first-page":"842","DOI":"10.1109\/12.795125","volume":"48","author":"MJ Schulte","year":"1999","unstructured":"M.J. Schulte, J.E. Stine, Approximating elementary functions with symmetric bipartite tables. IEEE Trans. Comput. 48(8), 842\u2013847 (1999). \nhttps:\/\/doi.org\/10.1109\/12.795125","journal-title":"IEEE Trans. Comput."},{"issue":"8","key":"1277_CR30","doi-asserted-by":"publisher","first-page":"1587","DOI":"10.1109\/TFUZZ.2018.2883374","volume":"27","author":"K Sun","year":"2019","unstructured":"K. Sun, S. Mou, J. Qiu, T. Wang, H. Gao, Adaptive fuzzy control for nontriangular structural stochastic switched nonlinear systems with full state constraints. IEEE Trans. Fuzzy Syst. 27(8), 1587\u20131601 (2019). \nhttps:\/\/doi.org\/10.1109\/TFUZZ.2018.2883374","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"1277_CR31","doi-asserted-by":"publisher","unstructured":"A. Tang, Y. Li, F. Han, Z. Zhang, CORDIC-based FFT real-time processing design and FPGA implementation. In IEEE 12th International Colloquium on Signal Processing & Its Applications (CSPA). Malacca City, pp. 233\u2013236 (2016). \nhttps:\/\/doi.org\/10.1109\/CSPA.2016.7515837","DOI":"10.1109\/CSPA.2016.7515837"},{"issue":"9","key":"1277_CR32","doi-asserted-by":"publisher","first-page":"46","DOI":"10.1109\/MCOM.2006.1705978","volume":"44","author":"J Valls","year":"2006","unstructured":"J. Valls, T. Sansaloni, A. Perez-Pascual, V. Torres, V. Almenar, The use of CORDIC in software defined radios: a tutorial. IEEE Commun. Mag. 44(9), 46\u201350 (2006). \nhttps:\/\/doi.org\/10.1109\/MCOM.2006.1705978","journal-title":"IEEE Commun. Mag."},{"key":"1277_CR33","doi-asserted-by":"publisher","unstructured":"\u00c1. Vazquez, J. Villalba, E. Antelo, Computation of decimal transcendental functions using the CORDIC algorithm. In 19th IEEE Symposium on Computer Arithmetic. Portland, OR (2009), pp. 179\u2013186. \nhttps:\/\/doi.org\/10.1109\/ARITH.2009.29","DOI":"10.1109\/ARITH.2009.29"},{"issue":"3","key":"1277_CR34","doi-asserted-by":"publisher","first-page":"330","DOI":"10.1109\/TEC.1959.5222693","volume":"EC\u20138","author":"JE Volder","year":"1959","unstructured":"J.E. Volder, The CORDIC trigonometric computing technique. IRE Trans. Electron. Comput. EC\u20138(3), 330\u2013334 (1959). \nhttps:\/\/doi.org\/10.1109\/TEC.1959.5222693","journal-title":"IRE Trans. Electron. Comput."},{"key":"1277_CR35","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1023\/A:1008110704586","volume":"25","author":"JE Volder","year":"2000","unstructured":"J.E. Volder, The birth of CORDIC. J. VLSI Signal Process. 25, 101\u2013105 (2000). \nhttps:\/\/doi.org\/10.1023\/A:1008110704586","journal-title":"J. VLSI Signal Process."}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-019-01277-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00034-019-01277-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-019-01277-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,26]],"date-time":"2020-09-26T23:33:31Z","timestamp":1601163211000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00034-019-01277-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,9,28]]},"references-count":35,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2020,5]]}},"alternative-id":["1277"],"URL":"https:\/\/doi.org\/10.1007\/s00034-019-01277-w","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"type":"print","value":"0278-081X"},{"type":"electronic","value":"1531-5878"}],"subject":[],"published":{"date-parts":[[2019,9,28]]},"assertion":[{"value":"1 May 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 September 2019","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 September 2019","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 September 2019","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}