结构信号相位恢复问题的新模型与算法研究

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1、分类号O24学号14020010UDC519.8密级公开理学硕士学位论文结构信号相位恢复问题的新模型与算法研究硕士生姓名彭伟学科专业数学研究方向大规模科学与工程计算指导教师王红霞教授国防科学技术大学研究生院二〇一六年十一月ResearchonNovelModelsandAlgorithmsforPhaseRetrievalofStructuredSignalsCandidate:PengWeiAdvisor:ProfessorWangHongxiaAdissertationSubmittedinpartialfulfillmentoftherequireme

2、ntsforthedegreeofMasterofScienceinComputationalMathematicsGraduateSchoolofNationalUniversityofDefenseTechnologyChangsha,Hunan,P.R.ChinaNovember22,2016国防科学技术大学研究生院硕士学位论文目录摘要..............................................................................................................

3、..........iABSTRACT...............................................................................................................iii第一章绪论............................................................................................................11.1研究背景和意义.........................

4、..............................................................11.2相位恢复问题基础...................................................................................21.2.1傅里叶变换....................................................................................21.2.2相位恢复问题的物理模型.............

5、...............................................41.2.3相位恢复问题的数学模型与算法................................................51.3本文的主要工作.......................................................................................10第二章二值稀疏相位恢复问题与模拟退火算法...............................................

6、.132.1二值稀疏相位恢复模型...........................................................................132.2模拟退火算法...........................................................................................152.3数值模拟................................................................................

7、...................172.3.1模拟退火策略与贪婪策略的比较................................................192.3.2运行时间限制对算法的影响........................................................192.3.3较少的傅里叶测量........................................................................202.3.4测量被噪音污染的情况...............

8、..........................