Extraction of Fetal Cardiac Signals from an Array of Maternal Abdominal Recordings Reza Sameni To cite this version: Reza Sameni. Extraction of Fetal Cardiac Signals from an Array of Maternal Abdominal Recordings. Signal and Image processing. Institut National Polytechnique de Grenoble - INPG; Sharif University of Technology (SUT), 2008. English. NNT: . tel-00373361 HAL Id: tel-00373361 https://theses.hal.science/tel-00373361 Submitted on 6 Apr 2009 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Extraction of Fetal Cardiac Signals from an Array of Maternal Abdominal Recordings Reza Sameni Submitted in partial fulfillment of the requirements for the joint degree of Doctor of Philosophy in Signal Processing and Telecommunications in the Institut Polytechnique de Grenoble, Grenoble, France Grenoble Images Signal Parole et Automatique Laboratory (GIPSA-lab) and Sharif University of Technology, Tehran, Iran School of Electrical Engineering Biomedical Signal and Image Processing Laboratory (BiSIPL) under the joint supervision of Prof. Christian Jutten and Dr. Mohammad B. Shamsollahi July 2008 INSTITUT POLYTECHNIQUE DE GRENOBLE N◦ attribu´e par la biblioth`eque: THE`SE EN COTUTELLE INTERNATIONALE pour obtenir le grade de DOCTEUR de L’Institut Polytechnique de Grenoble et de L’Universit´e Technologique Sharif Sp´ecialit´e: Signal, Image, Parole, T´el´ecoms pr´epar´ee aux laboratoires Grenoble Images Signal Parole et Automatique (GIPSA-lab) dans le cadre de l’E´cole Doctorale E´lectronique, E´lectrotechnique, Automatique et Traitement du Signal et au laboratoire Biomedical Signal and Image Processing Laboratory (BiSIPL) pr´esent´ee et soutenue publiquement par Reza SAMENI le 7 juillet 2008 Extraction of Fetal Cardiac Signals from an Array of Maternal Abdominal Recordings Directeurs de th`ese: Christian JUTTEN et Mohammad B. SHAMSOLLAHI JURY M. Jeanny HE´RAULT, Pr´esident M. Adrian van OOSTEROM, Rapporteur M. Jean-Fran¸cois CARDOSO, Rapporteur M. Christian JUTTEN, Co-directeur de th`ese M. Mohammad B. SHAMSOLLAHI, Co-directeur de th`ese M. Massoud BABAIE-ZADEH, Examinateur M. Vicente ZARZOSO, Examinateur ﻪﺑ ﻢﻳﺪﻘﺗ ﻥﺍﺮﻤﭼ ﻲﻔﻄﺼﻣ ﺮﺘﻛﺩ ﺪﻴﻬﺷ Dedicated to a Great Martyr, Dr. Mostafa Chamran Acknowledgments I praise God for all His mercy and grace, the beauties of the world and the chance that he has given us to discover its laws. I would like to thank Dr. Mohammad Bagher Shamsollahi and Prof. Christian Jutten, the supervisorsofthisresearch,fortheirexceptionalcharacters,thescientificandmoralguidance ofthiswork,andtheiravailability. Thisresearchwouldnothavebeenaccomplishedwithout their constant support. Christian and Mohammad have been far beyond supervisors for me and I hope to carry the lessons that I learned from them in my personal life. I sincerely thank my committee members: the president of the jury Prof. Jeanny H´erault, thereviewersProf. AdrianvanOosteromandProf. Jean-Fran¸coisCardosofortheevaluation of this work and their invaluable comments, and the examiners Dr. Massoud Babaie-Zadeh and Dr. Vicente Zarzoso for their insightful feedbacks. I would like to thank my beloved wife Maryam for all her love and patience during this very first year of our marriage. This thesis would have been dedicated to her, if Mostafa Chamran had not been a beau ideal for both of us. I would like to thank my parents, my sister and my brother, for all their support and encouragement throughout my life. IowemuchofmysignalprocessinginsightstoDr. MohammadBagherShamsollahiandDr. Ali Asghar Eftekhar, who gave me the courage to work with signal processing theories in real world applications. I would like to give my special thanks to Dr. Mohammad Ali Massoumnia, to whom I owe all my knowledge of estimation theory. Many of the ideas of this thesis would not have been developed without the wonderful and insightful course that I took with him in Sharif University. I would like to thank Dr. Vincent Vigneron, Dr. Gari D. Clifford, Dr. Dirk Hoyer, and Dr. Raphael Schneider, for the fruitful discussions that we had and for providing some of the fetal cardiac signals used in this research. I also acknowledge Dr. Jeroen G. Stinstra and Dr. Charles D. Lawrence for permitting us to use some of the figures in Chapter 3 for illustration. I would like to thank all the teachers and professors that I have had throughout my life, especially my first teacher, Mrs. Oskourchi, who taught me the Persian alphabet. IshouldalsothankmydearfriendsandcolleaguesinSharifUniversityandGIPSA-lab,with whom I shared many of the ideas of this research and who gave me invaluable feedbacks. I would finally like to thank Shiraz University, the French embassy in Tehran, Sharif Uni- versity of Technology, the French ministry of foreign affairs, the E´gide organization, the Rhˆone-Alpes region, and Iran Telecommunication Research Center who provided us with scholarships and research grants during this work. v ﻩﺪﻴﻜﭼ ﻥﺁ ﻉﺍﻮـﻧﺍ ﺔـﻤﻫ ﻭ ﻪﺘـﺷﺍﺩ ﻲﻔﻠﺘﺨﻣ ﻉﺍﻮﻧﺍ ﺎﻫﻲ ﻳﺎﺳﺭﺎﻧ ﻦﻳﺍ .ﺪﻨﺷﺎﺑﻲ ﻣ ﻱﺩﺍﺯﺭﺩﺎﻣ ﻱﺎﻬﻳﺭﺎﻤﻴﺑ ﻦﻳﺮﺘﻌﻳﺎﺷ ﺀﺰﺟ ﻲﺒﻠﻗ ﻱﺎﻫ ﻲﻳﺎﺳﺭﺎﻧ ﺮﻴﺛﺄـﺗ ﻙﺩﻮـﻛ ﺪـﺷﺭ ﺮـﺑ ﺎـﻬﻨﺗ ﺖﺳﺍ ﻦﻜﻤﻣ ﻭ ﺪﻨﻫﺩ ﻲﻤﻧ ﻥﺎﺸﻧ ﺩﻮﺧ ﺯﺍ ﻱﺮﻫﺎﻇ ﺯﻭﺮﺑ ﺪﻟﻮﺗ ﺯﺍ ﺲﭘ ﺎﻬﻟﺎﺳ ﺎﺗ ﺎﻳ ﻭ ﺪﻟﻮﺗ ﻭﺪﺑ ﺭﺩ ﺮـﺿﺎﺣ ﻝﺎﺣ ﺭﺩ .ﺖﺳﺍ ﺮﺛﺆﻣ ﺭﺎﻴﺴﺑ ﻲﺒﻠﻗ ﻱﺎﻫ ﻲﻳﺎﺳﺭﺎﻧ ﻡﺎﮕﻨﻫ ﺩﻭﺯ ﺺﻴﺨﺸﺗ ﺭﺩ ﻦﻴ ﻨﺟ ﺐﻠﻗ ﻥﺩﺮﻛ ﺭﻮﺘﻴﻧﺎﻣ ﻭﺭ ﻦﻳﺍ ﺯﺍ .ﺪﻧﺭﺍﺬﮕﺑ ﺐـﻠﻗ ﻥﺎﺑﺮـﺿ ﺎـﻬﻨﺗ ﻪـﻛ ﺪﻨـﺷﺎﺑ ﻲـﻣ ﺪﻧﻮﺳﺍﺮﺘﻟﻭﺍ ﻱﺎﻬﻤﺘﺴﻴﺳ ﻦﻴﻨﺟ ﺐﻠﻗ ﻥﺩﺮﻛ ﺭﻮﺘﻴﻧﺎﻣ ﻱﺍﺮﺑ ﺩﻮﺟﻮﻣ ﻱﺎﻬﺷﻭﺭ ﻦﻳﺮﺘﻟﻭﺍﺪﺘﻣ ﺄﺸـﻨﻣ ﻪـﻛ ﺖﺴـﻴﻟﺎﺣ ﺭﺩ ﻦـﻳﺍ . ﺩﺍﺩ ﺺﻴﺨﺸﺗ ﺎﻬﻧﺁ ﺔﻠﻴﺳﻮﺑ ﻥﺍﻮﺗ ﻲﻣ ﺍﺭ ﻦﻴﻨﺟ ﻲﺒﻠﻗ ﻱﺎﻫ ﻲﻳﺎﺳﺭﺎﻧ ﺯﺍ ﻱﺩﻭﺪﻌﻣ ﺔﺘﺳﺩ ﻭ ﻦﻴﻨﺟ ﻪـﺑ . ﺪﻨـﺷﺎﺑ ﻲﻣ ﻲﺒﻠﻗ ﺔﻠﻀﻋ ﺽﺎﺒﻘﻧﺍ ﺓﻮﺤﻧ ﺭﺩ ﺩﻮﺟﻮﻣ ﻱﺎﻫ ﻲﻤﺘﻳﺭﺁ ﻭ ﺐﻠﻗ ﻲﺒﺼﻋ ﻢﺘﺴﻴﺳ ﺭﺩ ،ﻲﺒﻠﻗ ﻱﺎﻫ ﻲﻳﺎﺳﺭﺎﻧ ﺯﺍ ﻱﺭﺎﻴﺴﺑ ﺪـﻴﻔﻣ ﺭﺎﻴﺴﺑ ،ﺖﺳﺍ ﺐﻠﻗ ﻲﻜﻳﺮﺘﻜﻟﺍ ﺖﻴﻟﺎﻌﻓ ﺓﻮﺤﻧ ﻱﻭﺎﺣ ﻪﻛ (ECG) ﻡﺍﺮﮔﻮﻳﺩﺭﺎﻛﻭﺮﺘﻜﻟﺍ ﻝﺎﻨﮕﻴﺳ ﻥﺩﺮﻛ ﺭﻮﺘﻴﻧﺎﻣ ﺖﻠﻋ ﻦﻴﻤﻫ .ﺪﺷﺎﺑ ﻲﻠﻌﻓ ﺪﻧﻮﺳﺍﺮﺘﻟﻭﺍ ﻱﺎﻬﻤﺘﺴﻴﺳ ﻱﺍﺮﺑ ﻲﻠﻤﻜﻣ ﺎﻳ ﻭ ﻦﻳﺰﮕﻳﺎﺟ ﺪﻧﺍﻮﺗﻲ ﻣ ﻲﻜﻴﻨﻴﻠﻛ ﻅﺎﺤﻟ ﻪﺑ ﻭ ﻩﺩﻮﺑ ECG ﻝﺎﻨﮕﻴـﺳ ﻩﮋﻳﻮﺑ ﻭ ﻲﻄﻴﺤﻣ ﻱﺎﻬﻠﺧﺍﺪﺗ ﺮﻳﺎﺳ ﻞﺑﺎﻘﻣ ﺭﺩ ، ﻦﻴﻨﺟ ECG ﻝﺎﻨﮕﻴﺳ ﻥﺩﻮﺑ ﻒﻴﻌﺿ ﺖﻠﻌﺑ ﺮﮕﻳﺩ ﻱﻮﺳ ﺯﺍ ﻩﺩﻮﺑ ﺮﻳﺬﭘ ﻥﺎﻜﻣﺍ ﻦﻴﻨﺟ ﺔﻤﺠﻤﺟ ﻱﻭﺭ ﺯﺍ ﻭ ﻲﻤﺟﺎﻬﺗ ﻱﺎﻬﺷﻭﺭ ﺎﺑ ﻥﻮﻨﻛﺎﺗ ﻦﻴﻨﺟ ECG ﺝﻮﻣ ﻞﻜﺷ ﻖﻴﻗﺩ ﻥﺩﺮﻛ ﺭﻮﺘﻴﻧﺎﻣ ،ﺭﺩﺎﻣ .ﺪﻨﺷﺎﺑ ﻲﻣ ﻥﺎﻤﻳﺍﺯ ﻥﺎﻣﺯ ﻪﺑ ﺮﺼﺤﻨﻣ ﻢﻫ ﺎﻬﺷﻭﺭ ﻦﻳﺍ ﻪﻛ ﺖﺳﺍ ﺖـﺒﺛ ﻱﺎﻬﻟﺎﻧﺎﻛ ﺯﺍ ﻱﺍ ﻪﻳﺍﺭﺁ ﺯﺍ ﻦﻴﻨﺟ ﻲﺒﻠﻗ ﻱﺎﻬﻟﺎﻨ ﮕﻴﺳ ﺝﺍﺮﺨﺘﺳﺍ ﺔﻟﺄﺴﻣ ﻲﺷﺯﺍﺩﺮﭘ ﻱﺎﻫ ﻪﺒﻨﺟ ﺩﻮﺒﻬﺑ ﻖﻴﻘﺤﺗ ﻦﻳﺍ ﺯﺍ ﻑﺪﻫ ﻲـﻨﺘﺒﻣ ﺎﹰـﻣﻮﻤﻋ ﻪﻛ ﻪﺘﺷﺬﮔ ﻱﺎﻫﺭﺎﻛ ﺎﺑ ﻪﺴﻳﺎﻘﻣ ﺭﺩ .ﺪﺷﺎﺑ ﻲﻣ ﺎﻬﻟﺎﻨﮕﻴﺳ ﻦﻳﺍ ﺮﺘﻬﺑ ﻞﻴﻠﺤﺗ ﻦﻴﻨﭽﻤﻫ ﻭ ﺭﺩﺎﻣ ﻢﻜﺷ ﻱﻭﺭ ﺯﺍ ﻩﺪﺷ ﻦﻴﺸـﻴﭘ ﺕﺎﻋﻼﻃﺍ ﺯﺍ ﺐﺳﺎﻨﻣ ﺓﺩﺎﻔﺘﺳﺍ ﺭﺩ ﻱﺩﺎﻬﻨﺸﻴﭘ ﻱﺎﻬﺷﻭﺭ ﻱﺭﻭﺁ ﻮﻧ ،ﺪﻨﺷﺎﺑ ﻲﻣ ﻝﺎﻨﮕﻴﺳ ﺵﺯﺍﺩﺮﭘ ﻚﻴﺳﻼﻛ ﻱﺎﻬﻜﻴﻨﻜﺗ ﺮﺑ ﺎـﺑ ﻖﻴﻘﺤﺗ ﻦﻳﺍ ﺭﺩ .ﺪﺷﺎﺑﻲ ﻣ ﺎﻬﻟﺎﻨﮕﻴﺳ ﻦﻳﺍ ﻚﻳﺩﻮﻳﺮﭘ ﻪﺒﺷ ﺭﺎﺘﺧﺎﺳ ﻥﻮﭽﻤﻫ ،ﻲﺒﻠﻗ ﻱﺎﻬﻟﺎﻨﮕﻴﺳ ﻪﺑ ﺖﺒﺴﻧ ﺩﻮﺟﻮﻣ (a priori) ﺺﺘـﺨﻣ ﻲـﺷﺯﺍﺩﺮﭘ ﻱﺎـﻬﻜﻴﻨﻜﺗ ،ﺩﻮـﺟﻮﻣ ﻱﺎﻬـﺷﻭﺭ ﺖـﻴﻔﻴﻛ ﺩﻮـﺒﻬﺑ ﺮﺑ ﻩﻭﻼﻋ ﺎﺗ ﺖﺳﺍ ﻩﺪﺷ ﻲﻌﺳ ﺕﺎﻋﻼﻃﺍ ﻦﻳﺍ ﺯﺍ ﻩﺩﺎﻔﺘﺳﺍ .ﺩﺩﺮﮔ ﻲﺣﺍﺮﻃ ﻲﺒﻠﻗ ﻱﺎﻬﻟﺎﻨﮕﻴﺳ ﺎﻬﻟﺎﻨﮕﻴﺳ ﺮﻳﺎﺳ ﺎﺑ ﺎﻬﻴﮔﮋﻳﻭ ﻭ ﺲﻧﺎﻛﺮﻓ ،ﻥﺎﻜﻣ ،ﻥﺎﻣﺯ ﻥﻮﭽﻤﻫ ،ﻒﻠﺘﺨﻣ ﻱﺎﻫ ﻩﺯﻮﺣ ﺭﺩ ﻦﻴﻨﺟ ﻲﺒﻠﻗ ﻱﺎﻬﻟﺎﻨﮕﻴﺳ ﻪﻛ ﺎﺠ ﻧﺁ ﺯﺍ ﻚـﻴﻜﻔﺗ ﻪـﺑ ﺭﺩﺎـﻗ ،ﺪﻨﺷﺎﺑ ﻲﻣ ﺭﺍﻮﺘﺳﺍ ﺎﻫ ﻩﺯﻮﺣ ﻦﻳﺍ ﺯﺍ ﻲﻜﻳ ﺭﺩ ﺩﻮﺟﻮﻣ ﺕﺎﻋﻼﻃﺍ ﺮﺑ ﺎﻬﻨﺗ ﻪﻛ ﻲﻳﺎﻬﺷﻭﺭ ،ﺪﻧﺭﺍﺩ ﻞﺧﺍﺪﺗ ﺎﻫﺰﻳﻮﻧ ﻭ ﺎﹰﻣﺃﻮﺗ ﻒﻠﺘﺨﻣ ﻱﺎﻫ ﻩ ﺯﻮﺣ ﺕﻮﻗ ﻁﺎﻘﻧ ﺯﺍ ﻪﻛ ﺖﺳﺍ ﻩﺪﺷ ﻲﻌﺳ ﻩﺪﺷ ﻪﺋﺍﺭﺍ ﻱﺎﻬﺷﻭﺭ ﺭﺩ ﺍﺬﻟ .ﺪﻨﺷﺎﺑ ﻲﻤﻧ ECG ﻱﺎﻬﻟﺎﻨﮕﻴﺳ ﻞﻣﺎﻛ Bayesian ﻱﺎـﻫﺮﺘﻠﻴﻓ ،ECG ﻚـﻳﮊﻮﻟﻮﻓﺮﻣ ﻱ ﺎﻬﻟﺪـﻣ ﺯﺍ ﻲـﺒﻴﻛﺮﺗ ﻱﺩﺎﻬﻨﺸـﻴﭘ ﻱﺎﻬـﺷﻭﺭ ،ﻚﻳﺭﻮﺌﺗ ﻅﺎﺤﻟ ﻪﺑ . ﺩﻮﺷ ﻩﺩﺎﻔﺘﺳﺍ .ﺪﻨﺷﺎﺑﻲ ﻣ ﻊﺑﺎﻨﻣ ﺭﻮﻛﻪ ﺒﺷ ﻭ ﺭﻮﻛ ﻚﻴﻜﻔﺗ ﻱﺭﻮﺌﺗ ﺭﺩ ﺡﺮﻄﻣ ﻲﻧﺎﻜﻣ ﻱﺎﻫﺮﺘﻠﻴﻓ ﺯﺍ ﻲﺻﺎﺧ ﻉﺍﻮﻧﺍ ﻭ ،ﻦﻴﻤﺨﺗ ﻱﺭﻮﺌﺗ ﺭﺩ ﺡﺮﻄﻣ ﺎﻬـﺷﻭﺭ ﻦـﻳﺍ ﻥﺩﻮـﺑ ﻊﻣﺎـﺟ ﻪﺑ ﻪﺟﻮﺗ ﺎﺑ ﻭ ﺪﻨﺷﺎﺑ ﻲﻣ ﻲﺒﻠﻗ ﻱﺎﻬﻟﺎﻨﮕﻴﺳ ﻚﻳﮊﻮﻟﻮﻓﺮﻣ ﺭﺎﺘﺧﺎﺳ ﺮﺑ ﻲﻨﺘﺒﻣ ﻩﺪﺷ ﻪﺋﺍﺭﺍ ﻱﺎﻫﺪﺘﻣ ﺰـﻴﻧ ﮓـﻧﺭﺩﻼﺑ ﮓـﻨﻳﺭﻮﺘﻴﻧﺎﻣ ﻱﺎﻬﻤﺘﺴﻴﺳ ﻲﺣﺍﺮﻃ ﺭﺩ ﻦﻴﻨﭽﻤﻫ ﻭ ﻥﻻﺎﺴﮔﺭﺰﺑ ﻲﺒﻠﻗ ﻱﺎﻬﻟﺎﻨﮕﻴﺳ ﺵﺯﺍﺩﺮﭘ ﺭﺩ ﺎﻬﻧﺁ ﺯﺍ ﻥﺍﻮﺗ ﻲﻣ ﻱﺎﻬـﺷﻭﺭ ﺔﻴﻠﻛ ،(MCG) ﺐﻠﻗ ﻲﺴﻴﻃﺎﻨﻐﻣ ﻭ ﻲﻜﻳﺮﺘﻜﻟﺍ ﻱﺎﻬﻟﺎﻨﮕﻴﺳ ﻚﻳﮊﻮﻟﻮﻓﺮﻣ ﺖﻫﺎﺒﺷ ﻪﺑ ﻪﺟﻮﺗ ﺎﺑ ﻦﻴﻨﭽﻤﻫ . ﺖﺴﺟ ﻩﺮﻬﺑ ﺩﺮﺑﺭﺎﻛ ﺯﺍ ﻱﺍ ﻪﻧﻮﻤﻧ ،ﺹﺎﺧ ﺭﻮﻄﺑ .ﺪﻨﺷﺎﺑ ﻲﻣ ﻝﺎﻤﻋﺍ ﻞﺑﺎﻗ ﺰﻴﻧ ﻥﻻﺎﺴﮔﺭﺰﺑ ﻭ ﻦﻴﻨﺟ ﻲﺴﻴﻃﺎﻨﻐﻣ ﻱﺎﻬﻟﺎﻨﮕﻴﺳ ﻱﻭﺭ ﺮﺑ ﻱﺩﺎﻬﻨﺸﻴﭘ .ﺩﺩﺮﮔﻲ ﻣ ﻪﺋﺍﺭﺍ ﻮﻠﻗﻭﺩ ﻱﺎﻫﻦ ﻴﻨﺟ MCG ﻱﺎﻬﻟﺎﻨﮕﻴﺳ ﻚﻴﻜﻔﺗ ﺭﺩ ﺎﻬﺷﻭﺭ ﻦﻳﺍ ﻱﺎﻫﺎﻀـﻓﺮﻳﺯ ﻱﺎﻬﻟﺎﻨﮕﻴـﺳ ﻚـﻴﻜﻔﺗ ﻪـﺑ ﺭﺩﺎـﻗ ﻪـﻛ ﺪﺷ ﺪﻫﺍﻮﺧ ﻪﺋﺍﺭﺍ ﻲﺘﺸﮔﺯﺎﺑ ﻲﺷﺯﺍﺩﺮﭘ ﻚﻴﻨﻜﺗ ،ﻕﻮﻓ ﻱﺎﻬﺷﻭﺭ ﺭﺎﻨﻛ ﺭﺩ ﺭﺩ ﻲﻋﻮـﻨﺘﻣ ﺭﺎﻴﺴـﺑ ﻱﺎـﻫﺩﺮﺑ ﺭﺎﻛ ﻱﺍﺭﺍ ﺩ ﻚـﻴﻨﻜﺗ ﻦﻳﺍ .ﺪﻨﺷﺎﺑ ﻲﻣ ﺰﻳﻮﻧ ﻭ ﻝﺎﻨﮕﻴﺳ ﻦﻴﻜﺗﹶ ﻱﺎﻫ ﺐﻴﻛﺮﺗ ﺯﺍ ﻝﺎﻨﮕﻴﺳ ﻚﻳ ﺏﻮﻠﻄﻣ .ﺪﺷﺎﺑﻲ ﻣ ﻝﺎﻨﮕﻴﺳ ﺵﺯﺍﺩﺮﭘ ﺚﺣﺎﺒﻣ vii
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