{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,10]],"date-time":"2025-06-10T20:40:02Z","timestamp":1749588002615,"version":"3.41.0"},"reference-count":36,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2016,9,20]],"date-time":"2016-09-20T00:00:00Z","timestamp":1474329600000},"content-version":"unspecified","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":[[2017,6]]},"DOI":"10.1007\/s00034-016-0419-z","type":"journal-article","created":{"date-parts":[[2016,9,20]],"date-time":"2016-09-20T08:56:39Z","timestamp":1474361799000},"page":"2441-2458","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["System-Level Power Optimization of Digital Audio Back End for Hearing Aids"],"prefix":"10.1007","volume":"36","author":[{"given":"Peter","family":"Pracn\u00fd","sequence":"first","affiliation":[]},{"given":"Ivan H. H.","family":"J\u00f8rgensen","sequence":"additional","affiliation":[]},{"given":"Erik","family":"Bruun","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2016,9,20]]},"reference":[{"issue":"2","key":"419_CR1","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1109\/TCSI.2008.2001831","volume":"56","author":"V Adrian","year":"2009","unstructured":"V. Adrian, J.S. Chang, B. Gwee, A low-voltage micropower digital Class D amplifier modulator for hearing aids. IEEE Trans. Circuits Syst. I Regul. Pap. 56(2), 337\u2013349 (2009)","journal-title":"IEEE Trans. Circuits Syst. I Regul. Pap."},{"key":"419_CR2","doi-asserted-by":"crossref","unstructured":"V.I. Anzova, J. Yli-Kaakinen, T. Saram\u00e4ki, An algorithm for the design of multiplierless IIR filters as a parallel connection of two all-pass filters, in Proceedings of IEEE Asia Pacific Conference on Circuits and Systems (APCCAS), pp. 744\u2013747 (2006)","DOI":"10.1109\/APCCAS.2006.342115"},{"issue":"5","key":"419_CR3","doi-asserted-by":"crossref","first-page":"992","DOI":"10.1109\/TCSI.2010.2046200","volume":"57","author":"M Berkhout","year":"2010","unstructured":"M. Berkhout, L. Dooper, Class D audio amplifiers in mobile applications. IEEE Trans. Circuits Syst. I Regul. Pap. 57(5), 992\u20131002 (2010)","journal-title":"IEEE Trans. Circuits Syst. I Regul. Pap."},{"issue":"3","key":"419_CR4","doi-asserted-by":"crossref","first-page":"785","DOI":"10.1007\/s10470-013-0203-y","volume":"78","author":"D Cartasegna","year":"2014","unstructured":"D. Cartasegna, P. Malcovati, L. Crespi, K. Lee, A. Baschirotto, A design methodology for high-order class-D audio amplifiers. Analog Integr. Circuits Signal Process. 78(3), 785\u2013798 (2014)","journal-title":"Analog Integr. Circuits Signal Process."},{"key":"419_CR5","doi-asserted-by":"crossref","unstructured":"R. Cellier, E. Allier, C. Crippa, R. Bassoli, A. Nagari, G. Pillonnet, N. Abouchi, A fully differential digital input Class D with EMI spreading method for mobile application, in Proceedings of AES 37th International Conference, pp. 1\u20138 (2009)","DOI":"10.1109\/NEWCAS.2009.5290459"},{"issue":"5","key":"419_CR6","doi-asserted-by":"crossref","first-page":"1391","DOI":"10.1007\/s00034-014-9907-1","volume":"34","author":"C Chen","year":"2015","unstructured":"C. Chen, J. Fan, X. Hu, Y. Hei, A low power, high performance analog front-end circuit for 1 V digital hearing Aid SoC. Circuits Syst. Signal Process. 34(5), 1391\u20131404 (2015)","journal-title":"Circuits Syst. Signal Process."},{"key":"419_CR7","doi-asserted-by":"crossref","unstructured":"B. Fitzgibbon, M.P. Kennedy, F. Maloberti, A novel implementation of dithered digital Delta-Sigma modulators via bus-splitting, in Proceedings of IEEE International Symposium on Circuits and Systems (ISCAS), pp. 1363\u20131366 (2011)","DOI":"10.1109\/ISCAS.2011.5937825"},{"key":"419_CR8","doi-asserted-by":"crossref","unstructured":"T. Forzley, R. Mason, A scalable Class D audio amplifier for low power applications, in Proceedings of AES 37th International Conference, pp. 1\u20138 (2009)","DOI":"10.1109\/NEWCAS.2009.5290462"},{"issue":"10","key":"419_CR9","doi-asserted-by":"crossref","first-page":"2007","DOI":"10.1109\/TCSI.2005.852920","volume":"52","author":"B Gwee","year":"2005","unstructured":"B. Gwee, J.S. Chang, V. Adrian, A micropower low-distortion digital Class D amplifier based on an algorithmic pulsewidth modulator. IEEE Trans. Circuits Syst. I Regul. Pap. 52(10), 2007\u20132022 (2005)","journal-title":"IEEE Trans. Circuits Syst. I Regul. Pap."},{"key":"419_CR10","unstructured":"S. Hougaard, O. Jensen, M. Kristensen, C. Ludvigsen, J. Petersen, P. Weis, Sound and Hearing. Widex A\/S (2007)"},{"issue":"12","key":"419_CR11","doi-asserted-by":"crossref","first-page":"892","DOI":"10.1109\/TCSII.2013.2285975","volume":"60","author":"IHH J\u00f8rgensen","year":"2013","unstructured":"I.H.H. J\u00f8rgensen, P. Pracn\u00fd, E. Bruun, Hardware efficient implementation of half-band IIR Filter for interpolation and decimation. IEEE Trans. Circuits Syst. II Express Briefs 60(12), 892\u2013896 (2013)","journal-title":"IEEE Trans. Circuits Syst. II Express Briefs"},{"issue":"2","key":"419_CR12","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1049\/ip-cds:20050129","volume":"153","author":"CH Kao","year":"2006","unstructured":"C.H. Kao, W.P. Lin, W.C. Chen, High efficiency and low distortion switching power amplifier for hearing aids. Proc. IEE Circuits Dev. Syst. 153(2), 143\u2013147 (2006)","journal-title":"Proc. IEE Circuits Dev. Syst."},{"issue":"11","key":"419_CR13","doi-asserted-by":"crossref","first-page":"2432","DOI":"10.1109\/JSSC.2007.907198","volume":"42","author":"S Kim","year":"2007","unstructured":"S. Kim, N. Cho, S. Song, H. Yoo, A 0.9 V 96 $$\\mu $$ \u03bc W fully operational digital hearing aid chip. IEEE J. Solid State Circuits 42(11), 2432\u20132440 (2007)","journal-title":"IEEE J. Solid State Circuits"},{"issue":"3","key":"419_CR14","doi-asserted-by":"crossref","first-page":"916","DOI":"10.1109\/JSSC.2008.2012362","volume":"44","author":"K Lee","year":"2009","unstructured":"K. Lee, Q. Meng, T. Sugimoto, K. Hamashita, K. Takasuka, S. Takeuchi, U. Moon, G.C. Temes, A 0.8 V, 2.6 mW, 88 dB dual-channel audio Delta-Sigma D\/A converter with headphone driver. IEEE J. Solid State Circuits 44(3), 916\u2013927 (2009)","journal-title":"IEEE J. Solid State Circuits"},{"key":"419_CR15","volume-title":"Understanding Digital Signal Processing","author":"RG Lyons","year":"2011","unstructured":"R.G. Lyons, Understanding Digital Signal Processing, 3rd edn. (Prentice Hall, Upper Saddle River, 2011)","edition":"3"},{"issue":"2","key":"419_CR16","doi-asserted-by":"crossref","first-page":"465","DOI":"10.1109\/JSSC.2012.2224731","volume":"48","author":"J Noh","year":"2013","unstructured":"J. Noh, D. Lee, J.-G. Jo, C. Yoo, A Class D amplifier with pulse code modulated (PCM) digital input for digital hearing aid. IEEE J. Solid State Circuits 48(2), 465\u2013472 (2013)","journal-title":"IEEE J. Solid State Circuits"},{"key":"419_CR17","doi-asserted-by":"crossref","unstructured":"D.E.S. Piovani, M.C. Schneider, C.G. Montoro, Design of a low power CMOS Class D amplifier for hearing aids, in Proceedings of Circuits and Systems for Medical and Environmenta Workshop (CASME), pp. 1\u20134 (2010)","DOI":"10.1109\/CASME.2010.5706675"},{"key":"419_CR18","unstructured":"P. Pracn\u00fd, Design considerations for a digital audio Class D output stage with emphasis on hearing aid application. Ph.D. thesis, Department of Electrical Engineering, Technical University of Denmark, 2013. http:\/\/orbit.dtu.dk\/fedora\/objects\/orbit:124638\/datastreams\/file_2df0e70f-eedc-4b27-95ab-87e8817c6f72\/content . Accessed 2015"},{"key":"419_CR19","unstructured":"P. Pracn\u00fd, E. Bruun, $$\\Sigma \\Delta $$ \u03a3 \u0394 modulator system-level considerations for hearing-aid audio Class-D output stage application, in Proceedings of 8th Conference on Ph.D. Research in Microelectronics and Electronics (PRIME). pp. 1\u20134 (2012)"},{"key":"419_CR20","doi-asserted-by":"crossref","unstructured":"P. Pracn\u00fd, I.H.H. J\u00f8rgensen, E. Bruun, System-level optimization of a DAC for hearing-aid audio Class D output stage, in Proceedings of 4th Doctoral Conference on Computing, Electrical and Industrial Systems (DoCEIS), pp. 647\u2013654 (2013)","DOI":"10.1007\/978-3-642-37291-9_70"},{"key":"419_CR21","doi-asserted-by":"crossref","unstructured":"P. Pracn\u00fd, I.H.H. J\u00f8rgensen, E. Bruun, System-level power optimization for a $$\\Sigma \\Delta $$ \u03a3 \u0394 D, A converter for hearing-aid application, in Proceedings of 9th Conference on Ph.D. Research in Microelectronics and Electronics (PRIME), pp. 1\u20134 (2013)","DOI":"10.1109\/PRIME.2013.6603117"},{"key":"419_CR22","doi-asserted-by":"crossref","unstructured":"P. Pracn\u00fd, I.H.H. J\u00f8rgensen, E. Bruun, Interpolation by a prime factor other than 2 in low-voltage low-power $$\\Sigma \\Delta $$ \u03a3 \u0394 DAC, in Proceedings of 31st NORCHIP Conference, pp. 1\u20136 (2013)","DOI":"10.1109\/NORCHIP.2013.6702024"},{"issue":"3","key":"419_CR23","doi-asserted-by":"crossref","first-page":"375","DOI":"10.1007\/s10470-014-0327-8","volume":"80","author":"P Pracn\u00fd","year":"2014","unstructured":"P. Pracn\u00fd, I.H.H. J\u00f8rgensen, E. Bruun, Interpolating by a factor of 3 in low-voltage low-power $$\\Sigma \\Delta $$ \u03a3 \u0394 DAC. Analog Integr. Circuits Signal Process. 80(3), 375\u2013385 (2014)","journal-title":"Analog Integr. Circuits Signal Process."},{"key":"419_CR24","doi-asserted-by":"crossref","unstructured":"P. Pracn\u00fd, P.M. Llim\u00f3s, E. Bruun, Interpolation filter design for hearing-aid audio class-D output stage application, in Proceedings of 19th IEEE International Conference on Electronics, Circuits, and Systems (ICECS), pp. 364\u2013367 (2012)","DOI":"10.1109\/ICECS.2012.6463726"},{"issue":"1","key":"419_CR25","doi-asserted-by":"crossref","first-page":"24","DOI":"10.1109\/TCS.1987.1086034","volume":"34","author":"M Renfors","year":"1987","unstructured":"M. Renfors, T. Saramaki, Recursive N-th band digital filters\u2014part I: design and properties. IEEE Trans. Circuits Syst. 34(1), 24\u201339 (1987)","journal-title":"IEEE Trans. Circuits Syst."},{"issue":"2","key":"419_CR26","doi-asserted-by":"crossref","first-page":"361","DOI":"10.1109\/JSSC.2007.914266","volume":"43","author":"J Roh","year":"2008","unstructured":"J. Roh, S. Byun, Y. Choi, H. Roh, Y. Kim, J. Kwon, A 0.9-V 60- $$\\mu $$ \u03bc W 1-bit fourth-order Delta-Sigma modulator with 83-dB dynamic range. IEEE J. Solid State Circuits 43(2), 361\u2013370 (2008)","journal-title":"IEEE J. Solid State Circuits"},{"key":"419_CR27","doi-asserted-by":"crossref","DOI":"10.1109\/9780470546772","volume-title":"Understanding Delta-Sigma Data Converters","author":"R Schreier","year":"2004","unstructured":"R. Schreier, G.C. Temes, Understanding Delta-Sigma Data Converters (Wiley-IEEE Press, Piscataway, 2004)"},{"key":"419_CR28","doi-asserted-by":"crossref","unstructured":"G. Stoyanov, Z. Nikolova, K. Ivanova, V. Anzova, Design and realization of efficient IIR digital filter structures based on sensitivity minimizations, in Proceedings of 8th International Conference on Telecommunications in Modern Satellite, Cable and Broadcasting Services, pp. 299\u2013308 (2007)","DOI":"10.1109\/TELSKS.2007.4375998"},{"issue":"6","key":"419_CR29","first-page":"225","volume":"130","author":"RA Valenzuela","year":"1983","unstructured":"R.A. Valenzuela, A.G. Constantinides, Digital signal processing schemes for efficient interpolation and decimation. IEE Proc. G 130(6), 225\u2013235 (1983)","journal-title":"IEE Proc. G"},{"key":"419_CR30","doi-asserted-by":"crossref","unstructured":"K. Wong, K. Lei, U. Seng-Pan, R.P. Martins, A 1-V 90dB DR audio stereo DAC with embedding eadphone driver, in Proceedings of IEEE Asia Pacific Conference Circuits and Systems (APCCAS), pp. 1160\u20131163 (2008)","DOI":"10.1109\/APCCAS.2008.4746231"},{"key":"419_CR31","doi-asserted-by":"crossref","unstructured":"X. Yao, L. Liu, D. Li, L. Chen, Z. Wang, A 90dB DR audio delta-sigma DAC with headphone driver for hearing aid, in Proceedings of 3rd International Congress on Image and Signal Processing (CISP), pp. 2890\u20132893 (2010)","DOI":"10.1109\/CISP.2010.5646870"},{"issue":"8","key":"419_CR32","doi-asserted-by":"crossref","first-page":"725","DOI":"10.1109\/TCSII.2007.896940","volume":"54","author":"Z Ye","year":"2007","unstructured":"Z. Ye, M.P. Kennedy, Reduced complexity MASH delta-sigma modulator. IEEE Trans. Circuits Syst. II Express Briefs 54(8), 725\u2013729 (2007)","journal-title":"IEEE Trans. Circuits Syst. II Express Briefs"},{"issue":"4","key":"419_CR33","doi-asserted-by":"crossref","first-page":"714","DOI":"10.1109\/TCSI.2008.2003383","volume":"56","author":"Z Ye","year":"2009","unstructured":"Z. Ye, M.P. Kennedy, Hardware reduction in digital Delta-Sigma modulators via error masking\u2014part I: MASH DDSM. IEEE Trans. Circuits Syst. I Regul. Pap. 56(4), 714\u2013726 (2009)","journal-title":"IEEE Trans. Circuits Syst. I Regul. Pap."},{"issue":"2","key":"419_CR34","doi-asserted-by":"crossref","first-page":"112","DOI":"10.1109\/TCSII.2008.2010188","volume":"56","author":"Z Ye","year":"2009","unstructured":"Z. Ye, M.P. Kennedy, Hardware reduction in digital Delta-Sigma modulators via error masking\u2014part II: SQ-DDSM. IEEE Trans. Circuits Syst. II Regul. Pap. 56(2), 112\u2013116 (2009)","journal-title":"IEEE Trans. Circuits Syst. II Regul. Pap."},{"key":"419_CR35","doi-asserted-by":"crossref","unstructured":"J. Yli-Kaakinen, T. Saramaki, A systematic algorithm for designing multiplierless computationally efficient recursive decimators and interpolators, in International Symposium on Image and Signal Processing and Analysis (ISPA), pp. 167\u2013172 (2005)","DOI":"10.1109\/ISPA.2005.195404"},{"issue":"8","key":"419_CR36","doi-asserted-by":"crossref","first-page":"1838","DOI":"10.1109\/TCSI.2007.902513","volume":"54","author":"J Yli-Kaakinen","year":"2007","unstructured":"J. Yli-Kaakinen, T. Saramaki, A systematic algorithm for the design of lattice wave digital filters with short-coefficient wordlength. IEEE Trans. Circuits Syst. I Regul. Pap. 54(8), 1838\u20131851 (2007)","journal-title":"IEEE Trans. Circuits Syst. I Regul. Pap."}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-016-0419-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00034-016-0419-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-016-0419-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,10]],"date-time":"2025-06-10T20:13:18Z","timestamp":1749586398000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00034-016-0419-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,9,20]]},"references-count":36,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2017,6]]}},"alternative-id":["419"],"URL":"https:\/\/doi.org\/10.1007\/s00034-016-0419-z","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"type":"print","value":"0278-081X"},{"type":"electronic","value":"1531-5878"}],"subject":[],"published":{"date-parts":[[2016,9,20]]}}}