{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,4]],"date-time":"2025-10-04T07:53:42Z","timestamp":1759564422673,"version":"3.41.0"},"publisher-location":"Cham","reference-count":25,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319550107"},{"type":"electronic","value":"9783319550114"}],"license":[{"start":{"date-parts":[[2017,11,3]],"date-time":"2017-11-03T00:00:00Z","timestamp":1509667200000},"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":[],"published-print":{"date-parts":[[2018]]},"DOI":"10.1007\/978-3-319-55011-4_20","type":"book-chapter","created":{"date-parts":[[2017,11,2]],"date-time":"2017-11-02T06:59:46Z","timestamp":1509605986000},"page":"410-422","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Mathematical Model for the Output Signal\u2019s Energy of an Ideal DAC in the Presence of Clock Jitter"],"prefix":"10.1007","author":[{"given":"Paola","family":"Loreti","sequence":"first","affiliation":[]},{"given":"Sima Sarv","family":"Ahrabi","sequence":"additional","affiliation":[]},{"given":"Pierluigi","family":"Vellucci","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,11,3]]},"reference":[{"key":"20_CR1","doi-asserted-by":"publisher","first-page":"1803","DOI":"10.1109\/JSSC.2006.876206","volume":"41","author":"A Abidi","year":"2006","unstructured":"Abidi, A.: Phase noise and jitter in CMOS ring oscillators. IEEE J. Solid-State Circuits 41, 1803\u20131816 (2006)","journal-title":"IEEE J. Solid-State Circuits"},{"key":"20_CR2","doi-asserted-by":"publisher","first-page":"2328","DOI":"10.1109\/TIM.2009.2034576","volume":"59","author":"F Alegria","year":"2010","unstructured":"Alegria, F., Serra, A.: Gaussian jitter-induced bias of sine wave amplitude estimation using three-parameter sine fitting. IEEE Trans. Instrum. Meas. 59, 2328\u20132333 (2010)","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"20_CR3","doi-asserted-by":"publisher","first-page":"330","DOI":"10.1109\/TIM.2008.2003313","volume":"58","author":"L Angrisani","year":"2009","unstructured":"Angrisani, L., D\u2019Arco, M.: Modeling timing jitter effects in digital-to-analog converters. IEEE Trans. Instrum. Meas. 58, 330\u2013336 (2009)","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"20_CR4","doi-asserted-by":"publisher","first-page":"655","DOI":"10.1109\/81.847872","volume":"47","author":"A Demir","year":"2000","unstructured":"Demir, A., Mehrotra, A., Roychowdhury, J.: Phase noise in oscillators: a unifying theory and numerical methods for characterization. IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. 47, 655\u2013674 (2000)","journal-title":"IEEE Trans. Circuits Syst. I, Fundam. Theory Appl."},{"key":"20_CR5","doi-asserted-by":"crossref","unstructured":"Doris, K., van Roermund, A., Leenaerts, D.: A general analysis on the timing jitter in D\/A converters. In: ISCAS 2002 IEEE International Symposium on Circuits and Systems. Vol. 1, pp. I\u2013117\u2013I\u2013120 (2002)","DOI":"10.1109\/ISCAS.2002.1009791"},{"key":"20_CR6","doi-asserted-by":"crossref","unstructured":"Doris, K., van Roermund, A., Leenaerts, D.: Mismatch-based timing errors in current steering DACs. In: Circuits and Systems, 2003. ISCAS \u201903. Proceedings of the 2003 International Symposium on. vol. 1, (2003) I\u2013977\u2013I\u2013980","DOI":"10.1109\/ISCAS.2003.1205729"},{"key":"20_CR7","doi-asserted-by":"publisher","first-page":"179","DOI":"10.1109\/4.658619","volume":"33","author":"A Hajimiri","year":"1998","unstructured":"Hajimiri, A., Lee, T.: A general theory of phase noise in electrical oscillators. IEEE J. Solid-State Circuits 33, 179\u2013194 (1998)","journal-title":"IEEE J. Solid-State Circuits"},{"key":"20_CR8","first-page":"457","volume":"68","author":"A Haraux","year":"1989","unstructured":"Haraux, A.: S\u00e9ries lacunaires et contr\u00f4le semi-interne des vibrations d\u2019une plaque rectangulaire. J. Math. Pures Appl. 68, 457\u2013465 (1989)","journal-title":"J. Math. Pures Appl."},{"key":"20_CR9","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-8176-4687-5","volume-title":"A Basis Theory Primer","author":"C Heil","year":"2011","unstructured":"Heil, C.: A Basis Theory Primer. Birkh\u00e4user, Basel (2011)"},{"key":"20_CR10","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1090\/S0273-0979-1985-15293-0","volume":"12","author":"JR Higgins","year":"1985","unstructured":"Higgins, J.R.: Five short stories about the cardinal series. Bull. Am. Math. Soc. (N.S.) 12, 45\u201389 (1985)","journal-title":"Bull. Am. Math. Soc. (N.S.)"},{"key":"20_CR11","doi-asserted-by":"publisher","first-page":"56","DOI":"10.1109\/19.481312","volume":"45","author":"YC Jenq","year":"1996","unstructured":"Jenq, Y.C.: Digital-to-analog (D\/A) converters with nonuniformly sampled signals. IEEE Trans. Instrum. Meas. 45, 56\u201359 (1996)","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"20_CR12","doi-asserted-by":"publisher","first-page":"653","DOI":"10.1109\/19.585421","volume":"46","author":"YC Jenq","year":"1997","unstructured":"Jenq, Y.C.: Direct digital synthesizer with jittered clock. IEEE Trans. Instrum. Meas. 46, 653\u2013655 (1997)","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"20_CR13","doi-asserted-by":"publisher","first-page":"187","DOI":"10.1016\/S0263-2241(01)00028-8","volume":"31","author":"N Kurosawa","year":"2002","unstructured":"Kurosawa, N.: Sampling clock jitter effects in digital-to-analog converters. Measurement 31, 187\u2013199 (2002)","journal-title":"Measurement"},{"key":"20_CR14","volume-title":"Two-dimensional Signal and Image Processing","author":"JS Lim","year":"1990","unstructured":"Lim, J.S.: Two-dimensional Signal and Image Processing. Prentice-Hall, Inc, Upper Saddle River (1990)"},{"key":"20_CR15","doi-asserted-by":"publisher","first-page":"1711","DOI":"10.1016\/j.jde.2009.09.016","volume":"248","author":"P Loreti","year":"2010","unstructured":"Loreti, P., Sforza, D.: Reachability problems for a class of integro-differential equations. J. Differ. Equ. 248, 1711\u20131755 (2010)","journal-title":"J. Differ. Equ."},{"key":"20_CR16","doi-asserted-by":"crossref","unstructured":"Loreti, P., Vellucci, P.: A mathematical model for signals energy at the output of an ideal dac. In: 2016 13th International Conference on Informatics in Control, Automation and Robotics (ICINCO), Vol.\u00a01, pp. 347\u2013352 (2016)","DOI":"10.5220\/0005979303470352"},{"key":"20_CR17","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511835261","volume-title":"Applied Digital Signal Processing: Theory and Practice","author":"DG Manolakis","year":"2011","unstructured":"Manolakis, D.G., Ingle, V.K.: Applied Digital Signal Processing: Theory and Practice. Cambridge University Press, Cambridge (2011)"},{"key":"20_CR18","doi-asserted-by":"publisher","first-page":"331","DOI":"10.1109\/4.494195","volume":"31","author":"B Razavi","year":"1996","unstructured":"Razavi, B.: A study of phase noise in CMOS oscillators. IEEE J. Solid-State Circuits 31, 331\u2013343 (1996)","journal-title":"IEEE J. Solid-State Circuits"},{"key":"20_CR19","doi-asserted-by":"publisher","first-page":"2184","DOI":"10.1109\/TCSI.2007.905648","volume":"54","author":"K Reddy","year":"2007","unstructured":"Reddy, K., Pavan, S.: Fundamental limitations of continuous-time delta-sigma modulators due to clock jitter. IEEE Trans. Circuits Syst. I: Regul. Pap. 54, 2184\u20132194 (2007)","journal-title":"IEEE Trans. Circuits Syst. I: Regul. Pap."},{"key":"20_CR20","doi-asserted-by":"crossref","unstructured":"Reinhardt, V.S.: A review of time jitter and digital systems. In: Proceedings of the 2005 IEEE International Frequency Control Symposium and Expositio, pp. 38\u201345 (2005)","DOI":"10.1109\/FREQ.2005.1573900"},{"key":"20_CR21","doi-asserted-by":"crossref","unstructured":"Shi, Q., Gong, Y., Guan, Y.L.: Asynchronous classification of high-order qams. In: WCNC 2008 Wireless Communications and Networking Conference, pp. 1188\u20131193. IEEE (2008)","DOI":"10.1109\/WCNC.2008.214"},{"key":"20_CR22","unstructured":"Souders, T. M., Flach, D. R., Hagwood, C., Yang, G.: The effects of timing jitter in sampling systems. In: Instrumentation and Measurement Technology Conference, 1989. IMTC-89. Conference Record., 6th IEEE. (1989) 199\u2013203"},{"key":"20_CR23","doi-asserted-by":"publisher","first-page":"379","DOI":"10.1016\/S0377-0427(00)00348-4","volume":"121","author":"F Stenger","year":"2000","unstructured":"Stenger, F.: Summary of sinc numerical methods. J. Comput. Appl. Math. 121, 379\u2013420 (2000)","journal-title":"J. Comput. Appl. Math."},{"key":"20_CR24","unstructured":"Tatsis, G., Votis, C., Raptis, V., Christofilakis, V., Kostarakis, P.: A\/D restrictions (errors) in Ultra-Wideband Impulse Radios. Int. J. Commun. Network Syst. Sci. 3, 425\u2013429 (2010)"},{"key":"20_CR25","doi-asserted-by":"publisher","first-page":"200","DOI":"10.1109\/TCSI.2015.2512738","volume":"63","author":"D Vercaemer","year":"2016","unstructured":"Vercaemer, D., Rombouts, P.: Analyzing the effect of clock jitter on self-oscillating sigma delta modulators. IEEE Trans. Circuits Syst. I: Regul. Pap. 63, 200\u2013210 (2016)","journal-title":"IEEE Trans. Circuits Syst. I: Regul. Pap."}],"container-title":["Lecture Notes in Electrical Engineering","Informatics in Control, Automation and Robotics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-55011-4_20","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,26]],"date-time":"2025-06-26T20:50:25Z","timestamp":1750971025000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-55011-4_20"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,11,3]]},"ISBN":["9783319550107","9783319550114"],"references-count":25,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-55011-4_20","relation":{},"ISSN":["1876-1100","1876-1119"],"issn-type":[{"type":"print","value":"1876-1100"},{"type":"electronic","value":"1876-1119"}],"subject":[],"published":{"date-parts":[[2017,11,3]]},"assertion":[{"value":"3 November 2017","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}