{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T11:02:50Z","timestamp":1740135770586,"version":"3.37.3"},"reference-count":31,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2018,6,21]],"date-time":"2018-06-21T00:00:00Z","timestamp":1529539200000},"content-version":"tdm","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":[[2019,2]]},"DOI":"10.1007\/s00034-018-0879-4","type":"journal-article","created":{"date-parts":[[2018,6,21]],"date-time":"2018-06-21T01:10:15Z","timestamp":1529543415000},"page":"699-715","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A Generic Error-Free AI-Based Encoding for FFT Computation"],"prefix":"10.1007","volume":"38","author":[{"given":"Mohsen","family":"Moradi","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8837-0668","authenticated-orcid":false,"given":"Amir Hossein","family":"Jahangir","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,6,21]]},"reference":[{"issue":"7","key":"879_CR1","doi-asserted-by":"publisher","first-page":"2742","DOI":"10.1007\/s00034-016-0435-z","volume":"36","author":"H Abdoli","year":"2017","unstructured":"H. Abdoli, H. Nikmehr, N. Movahedinia, F. De Dinechin, Improving energy efficiency of OFDM using adaptive precision reconfigurable FFT. Circuits Syst. Signal Process. 36(7), 2742\u20132766 (2017)","journal-title":"Circuits Syst. Signal Process."},{"issue":"6","key":"879_CR2","doi-asserted-by":"publisher","first-page":"262","DOI":"10.1016\/j.ipl.2006.10.009","volume":"101","author":"R Al Na\u2019mneh","year":"2007","unstructured":"R. Al Na\u2019mneh, W.D. Pan, Five-step FFT algorithm with reduced computational complexity. Inf. Process. Lett. 101(6), 262\u2013267 (2007)","journal-title":"Inf. Process. Lett."},{"issue":"6","key":"879_CR3","doi-asserted-by":"publisher","first-page":"526","DOI":"10.1049\/iet-cds.2013.0457","volume":"8","author":"V Arunachalam","year":"2014","unstructured":"V. Arunachalam, A.N.J. Raj, Efficient VLSI implementation of FFT for orthogonal frequency division multiplexing applications. IET Circuits Devices Syst. 8(6), 526\u2013531 (2014)","journal-title":"IET Circuits Devices Syst."},{"issue":"10\u201311","key":"879_CR4","doi-asserted-by":"publisher","first-page":"1403","DOI":"10.1016\/S0898-1221(01)00105-5","volume":"41","author":"R Baghaie","year":"2001","unstructured":"R. Baghaie, V. Dimitrov, Systolic implementation of real-valued discrete transforms via algebraic integer quantization. Comput. Math Appl. 41(10\u201311), 1403\u20131416 (2001)","journal-title":"Comput. Math Appl."},{"issue":"3","key":"879_CR5","doi-asserted-by":"publisher","first-page":"127","DOI":"10.1109\/CJECE.2014.2316227","volume":"37","author":"P Balakrishnan","year":"2014","unstructured":"P. Balakrishnan, M.M. Hasan, K.A. Wahid, An efficient algorithm for Daubechies lifting wavelets using algebraic integers. Can. J. Electr. Comput. Eng. 37(3), 127\u2013134 (2014)","journal-title":"Can. J. Electr. Comput. Eng."},{"issue":"3","key":"879_CR6","doi-asserted-by":"publisher","first-page":"1021","DOI":"10.1007\/s00034-015-0106-5","volume":"35","author":"O Cetin","year":"2016","unstructured":"O. Cetin, S. Keskin, T. Kocak, Real-time FFT computation using GPGPU for OFDM-based systems. Circuits Syst. Signal Process. 35(3), 1021\u20131044 (2016)","journal-title":"Circuits Syst. Signal Process."},{"issue":"10","key":"879_CR7","doi-asserted-by":"publisher","first-page":"4673","DOI":"10.1109\/TSP.2008.924637","volume":"56","author":"WH Chang","year":"2008","unstructured":"W.H. Chang, T.Q. Nguyen, On the fixed-point accuracy analysis of FFT algorithms. IEEE Trans. Signal Process. 56(10), 4673\u20134682 (2008)","journal-title":"IEEE Trans. Signal Process."},{"key":"879_CR8","doi-asserted-by":"publisher","DOI":"10.1002\/9780470822500","volume-title":"OFDM Baseband Receiver Design for Wireless Communications","author":"TD Chiueh","year":"2007","unstructured":"T.D. Chiueh, P.Y. Tsai, OFDM Baseband Receiver Design for Wireless Communications (Wiley, Singapore, 2007)"},{"issue":"1","key":"879_CR9","doi-asserted-by":"publisher","first-page":"187","DOI":"10.1109\/TVLSI.2011.2182068","volume":"21","author":"T Cho","year":"2013","unstructured":"T. Cho, H. Lee, A high-speed low-complexity modified radix-25 FFT processor for high rate WPAN applications. IEEE Trans. Very Large Scale Integr. VLSI Syst. 21(1), 187\u2013191 (2013)","journal-title":"IEEE Trans. Very Large Scale Integr. VLSI Syst."},{"issue":"5","key":"879_CR10","doi-asserted-by":"publisher","first-page":"580","DOI":"10.1109\/TIT.1985.1057081","volume":"31","author":"J Cozzens","year":"1985","unstructured":"J. Cozzens, L. Finkelstein, Computing the discrete Fourier transform using residue number systems in a ring of algebraic integers. IEEE Trans. Inf. Theory 31(5), 580\u2013588 (1985)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"879_CR11","first-page":"1377","volume":"3","author":"VS Dimitrov","year":"1998","unstructured":"V.S. Dimitrov, G.A. Jullien, W.C. Miller, A new DCT algorithm based on encoding algebraic integers. Proc. IEEE Int. Conf. Acoust. Speech Signal Process. 3, 1377\u20131380 (1998)","journal-title":"Proc. IEEE Int. Conf. Acoust. Speech Signal Process."},{"issue":"20","key":"879_CR12","doi-asserted-by":"publisher","first-page":"1310","DOI":"10.1049\/el:20046165","volume":"40","author":"VS Dimitrov","year":"2004","unstructured":"V.S. Dimitrov, K. Wahid, G. Jullien, Multiplication-free 8\u2009\u00d7\u20098 2D DCT architecture using algebraic integer encoding. IEE Electron. Lett. 40(20), 1310\u20131311 (2004)","journal-title":"IEE Electron. Lett."},{"issue":"12","key":"879_CR13","doi-asserted-by":"publisher","first-page":"2083","DOI":"10.1109\/TCSVT.2013.2270397","volume":"23","author":"A Edirisuriya","year":"2013","unstructured":"A. Edirisuriya, A. Madanayake, R.J. Cintra, V.S. Dimitrov, N. Rajapaksha, A single-channel architecture for algebraic integer based 8\u2009\u00d7\u20098 2-D DCT computation. IEEE Trans. Circuits Syst. Video Technol. 23(12), 2083\u20132089 (2013)","journal-title":"IEEE Trans. Circuits Syst. Video Technol."},{"key":"879_CR14","unstructured":"Y. Fan, X. Meng, X. Yao, Y. Yan, FFT-based parallel encoding algorithm for structured LDPC codes, in 11th International Conference on Wireless Communications, Networking and Mobile Computing (WiCOM 2015)"},{"issue":"1","key":"879_CR15","doi-asserted-by":"publisher","first-page":"23","DOI":"10.1109\/TVLSI.2011.2178275","volume":"21","author":"M Garrido","year":"2013","unstructured":"M. Garrido, J. Grajal, M.A. Sanchez, O. Gustafsson, Pipelined radix-2(k) feedforward FFT architectures. IEEE Trans. Very Large Scale Integr. (VLSI) Syst. 21(1), 23\u201332 (2013)","journal-title":"IEEE Trans. Very Large Scale Integr. (VLSI) Syst."},{"key":"879_CR16","doi-asserted-by":"crossref","unstructured":"R. Koutsoyannis, P.A. Milder, C.R. Berger, M. Glick, J.C. Hoe, M. P\u00fcschel, Improving fixed-point accuracy of FFT cores in O-OFDM systems, in IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), pp. 1585\u20131588 (2012)","DOI":"10.1109\/ICASSP.2012.6288196"},{"key":"879_CR17","first-page":"1306","volume":"13","author":"JC Kuo","year":"2003","unstructured":"J.C. Kuo, C.H. Wen, C.H. Lin, A.Y. Wu, VLSI design of a variable-length FFT\/IFFT processor for OFDM-based communication systems. EURASIP J. Appl. Sig. Process. 13, 1306\u20131316 (2003)","journal-title":"EURASIP J. Appl. Sig. Process."},{"key":"879_CR18","doi-asserted-by":"publisher","first-page":"227","DOI":"10.1016\/j.micpro.2016.02.001","volume":"42","author":"TY Lee","year":"2016","unstructured":"T.Y. Lee, C.H. Huang, W.C. Chen, M.J. Liu, A low-area dynamic reconfigurable MDC FFT processor design. Microprocess. Microsyst. 42, 227\u2013234 (2016)","journal-title":"Microprocess. Microsyst."},{"issue":"6","key":"879_CR19","doi-asserted-by":"publisher","first-page":"915","DOI":"10.1109\/TCSVT.2011.2181232","volume":"22","author":"A Madanayake","year":"2012","unstructured":"A. Madanayake, R.J. Cintra, D. Onen, V.S. Dimitrov, N. Rajapaksha, L.T. Bruton, A. Edirisuriya, A row-parallel 8\u2009\u00d7\u20098 2-D DCT architecture using algebraic integer-based exact computation. IEEE Trans. Circuits Syst. Video Technol. 22(6), 915\u2013929 (2012)","journal-title":"IEEE Trans. Circuits Syst. Video Technol."},{"issue":"6","key":"879_CR20","doi-asserted-by":"publisher","first-page":"1455","DOI":"10.1109\/TCSI.2012.2221171","volume":"60","author":"SK Madishetty","year":"2013","unstructured":"S.K. Madishetty, A. Madanayake, R.J. Cintra, V.S. Dimitrov, D.H. Mugler, VLSI architectures for the 4-Tap and 6-Tap 2-D Daubechies wavelet filters using algebraic integers. IEEE Trans. Circuits Syst. I 60(6), 1455\u20131468 (2013)","journal-title":"IEEE Trans. Circuits Syst. I"},{"issue":"3","key":"879_CR21","doi-asserted-by":"publisher","first-page":"484","DOI":"10.1109\/JSSC.2003.822776","volume":"39","author":"K Maharatna","year":"2004","unstructured":"K. Maharatna, E. Grass, U. Jagdhold, A 64-point Fourier transform chip for high-speed wireless LAN application using OFDM. IEEE J. Solid-State Circuits 39(3), 484\u2013493 (2004)","journal-title":"IEEE J. Solid-State Circuits"},{"issue":"4","key":"879_CR22","doi-asserted-by":"publisher","first-page":"1072","DOI":"10.1016\/j.dsp.2009.10.028","volume":"20","author":"O Nibouche","year":"2010","unstructured":"O. Nibouche, S. Boussakta, M. Darnell, M. Benaissa, Algorithms and pipeline architectures for 2-D FFT and FFT-like transforms. Digit. Signal Proc. 20(4), 1072\u20131086 (2010)","journal-title":"Digit. Signal Proc."},{"issue":"10","key":"879_CR23","doi-asserted-by":"publisher","first-page":"3759","DOI":"10.1007\/s00034-015-0217-z","volume":"35","author":"LZ Shi","year":"2016","unstructured":"L.Z. Shi, J.M. Guo, Design of an 8-channel FFT processor for IEEE 802.11 ac MIMO-OFDM WLAN system. Circuits Syst. Signal Process. 35(10), 3759\u20133769 (2016)","journal-title":"Circuits Syst. Signal Process."},{"issue":"8","key":"879_CR24","doi-asserted-by":"publisher","first-page":"1105","DOI":"10.1109\/TC.2007.1059","volume":"56","author":"CY Wang","year":"2007","unstructured":"C.Y. Wang, C.B. Kuo, J.Y. Jou, Hybrid word-length optimization methods of pipelined FFT processors. IEEE Trans. Comput. 56(8), 1105\u20131118 (2007)","journal-title":"IEEE Trans. Comput."},{"issue":"18","key":"879_CR25","doi-asserted-by":"publisher","first-page":"4879","DOI":"10.1109\/TSP.2015.2447500","volume":"63","author":"J Wang","year":"2015","unstructured":"J. Wang, C. Xiong, K. Zhang, J. Wei, Fixed-point analysis and parameter optimization of the radix-2(k) pipelined FFT processor. IEEE Trans. Signal Process. 63(18), 4879\u20134893 (2015)","journal-title":"IEEE Trans. Signal Process."},{"key":"879_CR26","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1016\/j.mejo.2015.11.004","volume":"47","author":"M Wang","year":"2016","unstructured":"M. Wang, F. Wang, S. Wei, Z. Li, A pipelined area-efficient and high-speed reconfigurable processor for floating-point FFT\/IFFT and DCT\/IDCT computations. Microelectron. J. 47, 19\u201330 (2016)","journal-title":"Microelectron. J."},{"key":"879_CR27","unstructured":"C. Yang, Y.Z. Xie, L. Chen, H. Chen, Y. Deng, Design of a configurable fixed-point FFT processor, in Proceedings of IET International Radar Conference (2015)"},{"issue":"3","key":"879_CR28","doi-asserted-by":"publisher","first-page":"435","DOI":"10.1016\/j.compeleceng.2008.10.002","volume":"35","author":"WF Yen","year":"2009","unstructured":"W.F. Yen, S.D. You, Y.C. Chang, Real-time FFT with pre-calculation. Comput. Electr. Eng. 35(3), 435\u2013440 (2009)","journal-title":"Comput. Electr. Eng."},{"issue":"3","key":"879_CR29","doi-asserted-by":"publisher","first-page":"306","DOI":"10.1109\/TCSII.2014.2369131","volume":"62","author":"H Yoo","year":"2015","unstructured":"H. Yoo, I.C. Park, Partially parallel encoder architecture for long polar codes. IEEE Trans. Circuits Syst. II Express Briefs 62(3), 306\u2013310 (2015)","journal-title":"IEEE Trans. Circuits Syst. II Express Briefs"},{"key":"879_CR30","unstructured":"S. Yun, F. Wu, G.E. Sobelman, X. Zhou, A low-complexity FFT Processor using two-dimensional algebraic integer encoding, in 13th IEEE International Conference on Solid-State and Integrated Circuit Technology (ICSICT 2016)"},{"issue":"6","key":"879_CR31","doi-asserted-by":"publisher","first-page":"1402","DOI":"10.1016\/j.sigpro.2006.12.004","volume":"87","author":"Y Zhou","year":"2007","unstructured":"Y. Zhou, J.M. Noras, S.J. Shepherd, Novel design of multiplier-less FFT processors. Sig. Process. 87(6), 1402\u20131407 (2007)","journal-title":"Sig. Process."}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00034-018-0879-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-018-0879-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-018-0879-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,20]],"date-time":"2019-06-20T19:18:49Z","timestamp":1561058329000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00034-018-0879-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,6,21]]},"references-count":31,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2019,2]]}},"alternative-id":["879"],"URL":"https:\/\/doi.org\/10.1007\/s00034-018-0879-4","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"type":"print","value":"0278-081X"},{"type":"electronic","value":"1531-5878"}],"subject":[],"published":{"date-parts":[[2018,6,21]]},"assertion":[{"value":"22 July 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 June 2018","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 June 2018","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"21 June 2018","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}