【《功率放大器线性化技术研究现状文献综述》3000字】

功率放大器线性化技术研究现状文献综述功率放大器作为现代雷达与通信发射机中的一类重要器件，其设计也在不断发展与进步。到今天已经出现了行波管、速调管以及固态功放等多种功率放大器类型，根据其不同特性，分别应用于射频放大链路中激励级、末级等位置完成对信号功率的放大效果ADDINEN.CITE<EndNote><Cite><Author>周伟</Author><Year>2018</Year><RecNum>7</RecNum><DisplayText><styleface="superscript">[1,2]</style></DisplayText><record><rec-number>7</rec-number><foreign-keys><keyapp="EN"db-id="9aa0apa9kafzxlew2d9pxfaav5dexepxszrd">7</key></foreign-keys><ref-typename="Thesis">32</ref-type><contributors><authors><author>周伟</author></authors><tertiary-authors><author>伍瑞卿,</author><author>陈格非,</author></tertiary-authors></contributors><titles><title>某型S波段固态推前向波管雷达发射机设计与实现</title></titles><keywords><keyword>发射机</keyword><keyword>前向波管</keyword><keyword>熄灭调制器</keyword><keyword>高压开关电源</keyword><keyword>双冷源冷却系统</keyword></keywords><dates><year>2018</year></dates><publisher>电子科技大学</publisher><work-type>硕士</work-type><urls></urls><remote-database-provider>Cnki</remote-database-provider></record></Cite><Cite><Author>韩韬</Author><Year>2013</Year><RecNum>8</RecNum><record><rec-number>8</rec-number><foreign-keys><keyapp="EN"db-id="9aa0apa9kafzxlew2d9pxfaav5dexepxszrd">8</key></foreign-keys><ref-typename="Thesis">32</ref-type><contributors><authors><author>韩韬</author></authors><tertiary-authors><author>周一宇,</author></tertiary-authors></contributors><titles><title>脉冲信号辐射源个体识别技术研究</title></titles><keywords><keyword>辐射源个体识别</keyword><keyword>Yoyos系统</keyword><keyword>随机微分几何</keyword><keyword>内蕴</keyword><keyword>指纹特征</keyword><keyword>稀疏信号处理</keyword><keyword>扩散映射</keyword><keyword>多径时延估计</keyword><keyword>变分贝叶斯</keyword><keyword>接收机通道校正</keyword><keyword>采样信号重构</keyword></keywords><dates><year>2013</year></dates><publisher>国防科学技术大学</publisher><work-type>博士</work-type><urls></urls><remote-database-provider>Cnki</remote-database-provider></record></Cite></EndNote>[\o"周伟,2018#7"1,\o"韩韬,2013#8"2]。在这些类型的功放的构成中，除了一些微波电子管，晶体管、场效应管等半导体器件也非常常见。因此，由于功率放大器中这些半导体元器件的模拟特性，使得输入信号在功率、频率以及幅度和相位上呈现出一定程度的失真，在功放模块层面上表现为非线性的放大。这种射频功放的非线性，由于元器件容差ADDINEN.CITE<EndNote><Cite><Author>俞佳宝</Author><Year>2016</Year><RecNum>9</RecNum><DisplayText><styleface="superscript">[3]</style></DisplayText><record><rec-number>9</rec-number><foreign-keys><keyapp="EN"db-id="9aa0apa9kafzxlew2d9pxfaav5dexepxszrd">9</key></foreign-keys><ref-typename="JournalArticle">17</ref-type><contributors><authors><author><styleface="normal"font="default"charset="134"size="100%">俞佳宝</style></author><author><styleface="normal"font="default"charset="134"size="100%">胡爱群</style></author><author><styleface="normal"font="default"charset="134"size="100%">朱长明</style></author><author><styleface="normal"font="default"charset="134"size="100%">彭林宁</style></author><author><styleface="normal"font="default"charset="134"size="100%">姜禹</style></author></authors></contributors><auth-address><styleface="normal"font="default"charset="134"size="100%">东南大学信息科学与工程学院</style><styleface="normal"font="default"size="100%">;</style><styleface="normal"font="default"charset="134"size="100%">中国运载火箭技术研究院研发中心</style><styleface="normal"font="default"size="100%">;</style></auth-address><titles><title><styleface="normal"font="default"charset="134"size="100%">无线通信设备的射频指纹提取与识别方法</style></title><secondary-title><styleface="normal"font="default"charset="134"size="100%">密码学报</style></secondary-title></titles><periodical><full-title>密码学报</full-title></periodical><pages>433-446</pages><volume>3</volume><number>05</number><keywords><keyword>射频指纹</keyword><keyword>设备识别</keyword><keyword>物理层安全</keyword><keyword>特征提取</keyword></keywords><dates><year>2016</year></dates><isbn>2095-7025</isbn><call-num>10-1195/TN</call-num><urls></urls><remote-database-provider>Cnki</remote-database-provider></record></Cite></EndNote>[\o"俞佳宝,2016#9"3]的不同组合而具有唯一性，所对应的无意调制，在辐射源个体识别中起到了重要作用。但是当采用正交频分复用或正交幅度调制等调制技术时，会得到峰均功率比较高的调制信号，功率放大器在正常工作模式下对于输入功率较高的信号会出现明显的非线性失真ADDINEN.CITE<EndNote><Cite><Author>牛立栋</Author><Year>2019</Year><RecNum>10</RecNum><DisplayText><styleface="superscript">[4]</style></DisplayText><record><rec-number>10</rec-number><foreign-keys><keyapp="EN"db-id="9aa0apa9kafzxlew2d9pxfaav5dexepxszrd">10</key></foreign-keys><ref-typename="Thesis">32</ref-type><contributors><authors><author>牛立栋</author></authors><tertiary-authors><author>王杰令,</author></tertiary-authors></contributors><titles><title>功率放大器的非线性失真抑制技术研究</title></titles><keywords><keyword>功率放大器</keyword><keyword>非线性失真</keyword><keyword>数字预失真</keyword><keyword>自适应算法</keyword><keyword>粒子群优化</keyword><keyword>高次空间</keyword></keywords><dates><year>2019</year></dates><publisher>西安电子科技大学</publisher><work-type>硕士</work-type><urls></urls><remote-database-provider>Cnki</remote-database-provider></record></Cite></EndNote>[\o"牛立栋,2019#10"4]，对通信及信号质量造成影响。因此，功放作为发射机中不可或缺的一类器件，其线性化技术一直被研究人员广泛关注。早期的线性化技术主要是通过减少输入信号功率，从而避开功放的非线性放大区的功率回退ADDINEN.CITE<EndNote><Cite><Author>Jaehyok</Author><Year>2000</Year><RecNum>11</RecNum><DisplayText><styleface="superscript">[5]</style></DisplayText><record><rec-number>11</rec-number><foreign-keys><keyapp="EN"db-id="9aa0apa9kafzxlew2d9pxfaav5dexepxszrd">11</key></foreign-keys><ref-typename="JournalArticle">17</ref-type><contributors><authors><author>Jaehyok,Yi</author><author>Youngoo,Yang</author><author>Myungkyu,Park</author><author>Wonwoo,Kang</author><author>Bumman,Kim</author></authors></contributors><titles><title>Analogpredistortionlinearizerforhigh-powerRFamplifiers</title><secondary-title>IEEETransactionsonMicrowaveTheoryandTechniques</secondary-title></titles><periodical><full-title>IEEETransactionsonMicrowaveTheoryandTechniques</full-title></periodical><pages>2709-2713</pages><volume>48</volume><number>12</number><keywords><keyword>linearisationtechniques</keyword><keyword>intermodulationdistortion</keyword><keyword>codedivisionmultipleaccess</keyword><keyword>UHFpoweramplifiers</keyword><keyword>MMICpoweramplifiers</keyword><keyword>UHFintegratedcircuits</keyword><keyword>analogpredistortionlinearizer</keyword><keyword>high-powerRFamplifiers</keyword><keyword>code-divisionmultiple-accessbasestation</keyword><keyword>spectralregrowth</keyword><keyword>adjacentchannels</keyword><keyword>odd-orderintermodulationdistortions</keyword><keyword>CDMAsignal</keyword><keyword>chiprate</keyword><keyword>2.37to2.4GHz</keyword><keyword>30MHz</keyword><keyword>Predistortion</keyword><keyword>Radiofrequencyamplifiers</keyword><keyword>Multiaccesscommunication</keyword><keyword>Poweramplifiers</keyword><keyword>Phasemeasurement</keyword><keyword>Basestations</keyword><keyword>Highpoweramplifiers</keyword><keyword>Bandwidth</keyword><keyword>Radiofrequency</keyword></keywords><dates><year>2000</year></dates><isbn>1557-9670</isbn><urls></urls><electronic-resource-num>10.1109/22.899034</electronic-resource-num></record></Cite></EndNote>[\o"Jaehyok,2000#11"5]技术，但这种方法使得功放在低效率的状态下工作。随着宽带通信和雷达系统的需求，出现了如前馈技术ADDINEN.CITE<EndNote><Cite><Author>Nojima</Author><Year>1985</Year><RecNum>12</RecNum><DisplayText><styleface="superscript">[6]</style></DisplayText><record><rec-number>12</rec-number><foreign-keys><keyapp="EN"db-id="9aa0apa9kafzxlew2d9pxfaav5dexepxszrd">12</key></foreign-keys><ref-typename="JournalArticle">17</ref-type><contributors><authors><author>T.Nojima</author><author>T.Konno</author></authors></contributors><titles><title>Cuberpredistortionlinearizerforrelayequipmentin800MHzbandlandmobiletelephonesystem</title><secondary-title>IEEETransactionsonVehicularTechnology</secondary-title></titles><periodical><full-title>IEEETransactionsonVehicularTechnology</full-title></periodical><pages>169-177</pages><volume>34</volume><number>4</number><keywords><keyword>Predistortion</keyword><keyword>Relays</keyword><keyword>Telephony</keyword><keyword>Powersystemrelaying</keyword><keyword>Circuits</keyword><keyword>Poweramplifiers</keyword><keyword>Energyconsumption</keyword><keyword>Intermodulationdistortion</keyword><keyword>Highpowermicrowavegeneration</keyword><keyword>Powergeneration</keyword></keywords><dates><year>1985</year></dates><isbn>1939-9359</isbn><urls></urls><electronic-resource-num>10.1109/T-VT.1985.24057</electronic-resource-num></record></Cite></EndNote>[\o"Nojima,1985#12"6]、负反馈技术ADDINEN.CITE<EndNote><Cite><Author>Fishbine</Author><Year>1957</Year><RecNum>13</RecNum><DisplayText><styleface="superscript">[7,8]</style></DisplayText><record><rec-number>13</rec-number><foreign-keys><keyapp="EN"db-id="9aa0apa9kafzxlew2d9pxfaav5dexepxszrd">13</key></foreign-keys><ref-typename="JournalArticle">17</ref-type><contributors><authors><author>Fishbine,H.L</author><author>Sewell,C.Jr</author></authors></contributors><titles><title>STABILIZEDFEEDBACKAMPLIFIER</title></titles><dates><year>1957</year></dates><urls></urls></record></Cite><Cite><Author>H.</Author><Year>1999</Year><RecNum>14</RecNum><record><rec-number>14</rec-number><foreign-keys><keyapp="EN"db-id="9aa0apa9kafzxlew2d9pxfaav5dexepxszrd">14</key></foreign-keys><ref-typename="JournalArticle">17</ref-type><contributors><authors><author>H.,S%JProceedingsoftheIEEE</author></authors></contributors><titles><title>StabilizedFeedbackAmplifiers*</title></titles><pages>379-385</pages><volume>87</volume><number>2</number><dates><year>1999</year></dates><urls></urls></record></Cite></EndNote>[\o"Fishbine,1957#13"7,\o"H.,1999#14"8]、包络跟踪法ADDINEN.CITEADDINEN.CITE.DATA[\o"Zhu,2008#15"9]、预失真技术ADDINEN.CITEADDINEN.CITE.DATA[\o"Wilson,2015#16"10,\o"Kim,2011#17"11]等功放线性化和提高效率的方法，线性化方法对比如REF_Ref73192586\h表11。表STYLEREF1\s1SEQ表\*ARABIC\s11功放线性化方法对比序号方法补偿能力（dB）适用带宽（MHz）功放效率复杂度自适应性成本1功率回退->100低低高低2前馈技术25-35>100高高差高3负反馈技术10-20<5中中差中4非线性器件的线性放大法25-35<10高高差高5模拟预失真5-10>25中中中低6数字预失真20-30>50中中高低其中，预失真技术，是一种适度改善性能的低成本解决方案。与其他线性化技术相比，它利用简单的电路配置提供了更宽的带宽ADDINEN.CITE<EndNote><Cite><Author>Jaehyok</Author><Year>2000</Year><RecNum>11</RecNum><DisplayText><styleface="superscript">[5]</style></DisplayText><record><rec-number>11</rec-number><foreign-keys><keyapp="EN"db-id="9aa0apa9kafzxlew2d9pxfaav5dexepxszrd">11</key></foreign-keys><ref-typename="JournalArticle">17</ref-type><contributors><authors><author>Jaehyok,Yi</author><author>Youngoo,Yang</author><author>Myungkyu,Park</author><author>Wonwoo,Kang</author><author>Bumman,Kim</author></authors></contributors><titles><title>Analogpredistortionlinearizerforhigh-powerRFamplifiers</title><secondary-title>IEEETransactionsonMicrowaveTheoryandTechniques</secondary-title></titles><periodical><full-title>IEEETransactionsonMicrowaveTheoryandTechniques</full-title></periodical><pages>2709-2713</pages><volume>48</volume><number>12</number><keywords><keyword>linearisationtechniques</keyword><keyword>intermodulationdistortion</keyword><keyword>codedivisionmultipleaccess</keyword><keyword>UHFpoweramplifiers</keyword><keyword>MMICpoweramplifiers</keyword><keyword>UHFintegratedcircuits</keyword><keyword>analogpredistortionlinearizer</keyword><keyword>high-powerRFamplifiers</keyword><keyword>code-divisionmultiple-accessbasestation</keyword><keyword>spectralregrowth</keyword><keyword>adjacentchannels</keyword><keyword>odd-orderintermodulationdistortions</keyword><keyword>CDMAsignal</keyword><keyword>chiprate</keyword><keyword>2.37to2.4GHz</keyword><keyword>30MHz</keyword><keyword>Predistortion</keyword><keyword>Radiofrequencyamplifiers</keyword><keyword>Multiaccesscommunication</keyword><keyword>Poweramplifiers</keyword><keyword>Phasemeasurement</keyword><keyword>Basestations</keyword><keyword>Highpoweramplifiers</keyword><keyword>Bandwidth</keyword><keyword>Radiofrequency</keyword></keywords><dates><year>2000</year></dates><isbn>1557-9670</isbn><urls></urls><electronic-resource-num>10.1109/22.899034</electronic-resource-num></record></Cite></EndNote>[\o"Jaehyok,2000#11"5]。随着模数、数模转换器件和芯片性能的提高，数字预失真（DigitalPredistortion，DPD）技术的数字化算法灵活，补偿能力以及其自适应性强ADDINEN.CITE<EndNote><Cite><Author>牛立栋</Author><Year>2019</Year><RecNum>10</RecNum><DisplayText><styleface="superscript">[4]</style></DisplayText><record><rec-number>10</rec-number><foreign-keys><keyapp="EN"db-id="9aa0apa9kafzxlew2d9pxfaav5dexepxszrd">10</key></foreign-keys><ref-typename="Thesis">32</ref-type><contributors><authors><author>牛立栋</author></authors><tertiary-authors><author>王杰令,</author></tertiary-authors></contributors><titles><title>功率放大器的非线性失真抑制技术研究</title></titles><keywords><keyword>功率放大器</keyword><keyword>非线性失真</keyword><keyword>数字预失真</keyword><keyword>自适应算法</keyword><keyword>粒子群优化</keyword><keyword>高次空间</keyword></keywords><dates><year>2019</year></dates><publisher>西安电子科技大学</publisher><work-type>硕士</work-type><urls></urls><remote-database-provider>Cnki</remote-database-provider></record></Cite></EndNote>[\o"牛立栋,2019#10"4]，同时还具有更低的功耗。如REF_Ref73192631\h图11所示的数字信号处理驱动的数字预失真技术逐步成为功放线性化补偿的优选方案ADDINEN.CITE<EndNote><Cite><Author>Wood</Author><Year>2017</Year><RecNum>18</RecNum><DisplayText><styleface="superscript">[12]</style></DisplayText><record><rec-number>18</rec-number><foreign-keys><keyapp="EN"db-id="9aa0apa9kafzxlew2d9pxfaav5dexepxszrd">18</key></foreign-keys><ref-typename="JournalArticle">17</ref-type><contributors><authors><author>J.Wood</author></authors></contributors><titles><title>System-LevelDesignConsiderationsforDigitalPre-DistortionofWirelessBaseStationTransmitters</title><secondary-title>IEEETransactionsonMicrowaveTheoryandTechniques</secondary-title></titles><periodical><full-title>IEEETransactionsonMicrowaveTheoryandTechniques</full-title></periodical><pages>1880-1890</pages><volume>65</volume><number>5</number><keywords><keyword>distortion</keyword><keyword>integratedcircuitdesign</keyword><keyword>linearisationtechniques</keyword><keyword>microwavepoweramplifiers</keyword><keyword>radiotransmitters</keyword><keyword>system-leveldesign</keyword><keyword>digitalpredistortion</keyword><keyword>DPDtechniques</keyword><keyword>wirelessbasestationtransmittersion</keyword><keyword>RFpoweramplifiers</keyword><keyword>DPDlinearizedtransmitter</keyword><keyword>dataconverters</keyword><keyword>digitalsignalprocessing</keyword><keyword>wirelesscommunications</keyword><keyword>spectralefficiencysignals</keyword><keyword>peak-to-averagepowerratios</keyword><keyword>powerconsumption</keyword><keyword>Bandwidth</keyword><keyword>Wirelesscommunication</keyword><keyword>Transmitters</keyword><keyword>Adaptationmodels</keyword><keyword>Hardware</keyword><keyword>Receivers</keyword><keyword>digitalpre-distortion(DPD)</keyword><keyword>linearization</keyword><keyword>RFtransmitter</keyword><keyword>wirelesscommunicationssystem</keyword></keywords><dates><year>2017</year></dates><isbn>1557-9670</isbn><urls></urls><electronic-resource-num>10.1109/TMTT.2017.2659738</electronic-resource-num></record></Cite></EndNote>[\o"Wood,2017#18"12]。图STYLEREF1\s1SEQ图\*ARABIC\s11基带数字预失真结构本文将功率放大器的基带信号数字预失真技术分为两个主要方向，包括引入更精确的功放模型优化和功放自适应预失真算法，下面分别对两者研究现状进行梳理。1）模型优化在模型优化方面，数字预失真技术首先要对功放和预失真器进行精准的建模，各种功放模型大致可以分为三类，查找表、多项式模型以及神经网络模型，三者对比如REF_Ref73193847\h表12所示，本文重点分析前两种方法。表STYLEREF1\s1SEQ表\*ARABIC\s12数字预失真中功放建模方法对比方法记忆效应补偿效果强非线性效应补偿效果存储空间初始化运算速度样本需求查找表差好大快少多项式模型好差小慢少神经网络模型好好小慢多典型的查找表有实部虚部二维查找表、负增益查找表以及幅度相位极坐标查找表等，对分散的各点需要采取分段线性插值处理，传统的查找表方法对记忆效应改善效果差，导致对大带宽通信系统的线性放大性能较差。2006年，H.Zhi-yong等人ADDINEN.CITE<EndNote><Cite><Author>Zhi-Yong</Author><Year>2006</Year><RecNum>19</RecNum><DisplayText><styleface="superscript">[13]</style></DisplayText><record><rec-number>19</rec-number><foreign-keys><keyapp="EN"db-id="9aa0apa9kafzxlew2d9pxfaav5dexepxszrd">19</key></foreign-keys><ref-typename="JournalArticle">17</ref-type><contributors><authors><author>Zhi-Yong,He</author><author>Jian-Hua,Ge</author><author>Shu-Jian,Geng</author><author>Gang,Wang%JIEEETransactionsonBroadcasting</author></authors></contributors><titles><title>Animprovedlook-uptablepredistortiontechniqueforHPAwithmemoryeffectsinOFDMsystems</title></titles><pages>87-91</pages><volume>52</volume><number>1</number><dates><year>2006</year></dates><urls></urls></record></Cite></EndNote>[\o"Zhi-Yong,2006#19"13]引入信号平均功率索引，通过信号功率索引到不同的一维无记忆查找表中，有效的完成了对有记忆功放的线性化，但随着查找表的数目增大，存储量急剧增大，自适应算法收敛速度变慢，更新时间较长，因此大多数查找表法都是针对于无记忆功放或与多项式模型的融合。H.H.Chen等人ADDINEN.CITE<EndNote><Cite><Author>Chen</Author><Year>2003</Year><RecNum>20</RecNum><DisplayText><styleface="superscript">[14]</style></DisplayText><record><rec-number>20</rec-number><foreign-keys><keyapp="EN"db-id="9aa0apa9kafzxlew2d9pxfaav5dexepxszrd">20</key></foreign-keys><ref-typename="ConferenceProceedings">10</ref-type><contributors><authors><author>Chen,HsingHung</author><author>Maa,ChingShyang</author><author>Wang,YeongCheng</author><author>Chen,JiunnTsair</author></authors></contributors><titles><title>Jointpolynomialandlook-up-tablepoweramplifierlinearizationscheme</title><secondary-title>VehicularTechnologyConference,2003.VTC2003-Spring.The57thIEEESemiannual</secondary-title></titles><dates><year>2003</year></dates><urls></urls></record></Cite></EndNote>[\o"Chen,2003#20"14]组合查找表和多项式预失真法，通过辨识功率放大器的多项式模型参数，得到预失真参数并映射到查找表中，完成了功放的线性化。多项式模型的研究比较深入，辐射源可以直接获取输入信号，利用功放输出信号，就能得到其各种有记忆行为模型如Wiener模型，记忆多项式（MemoryPolynomial，MP）模型ADDINEN.CITE<EndNote><Cite><Author>张靖志</Author><Year>2018</Year><RecNum>21</RecNum><DisplayText><styleface="superscript">[15]</style></DisplayText><record><rec-number>21</rec-number><foreign-keys><keyapp="EN"db-id="9aa0apa9kafzxlew2d9pxfaav5dexepxszrd">21</key></foreign-keys><ref-typename="Thesis">32</ref-type><contributors><authors><author>张靖志</author></authors><tertiary-authors><author>胡捍英,</author></tertiary-authors></contributors><titles><title>基于信号指纹的辐射源个体识别技术研究</title></titles><keywords><keyword>信号指纹</keyword><keyword>特定辐射源识别</keyword><keyword>功放非线性</keyword><keyword>功放记忆性</keyword><keyword>行为模型</keyword><keyword>调制畸变</keyword><keyword>误差矢量幅度</keyword><keyword>频率稳定度</keyword><keyword>载波频偏</keyword><keyword>信道状态信息</keyword></keywords><dates><year>2018</year></dates><publisher>战略支援部队信息工程大学</publisher><work-type>硕士</work-type><urls></urls><remote-database-provider>Cnki</remote-database-provider></record></Cite></EndNote>[\o"张靖志,2018#21"15]和神经网络模型ADDINEN.CITE<EndNote><Cite><Author>冯阿静</Author><Year>2020</Year><RecNum>22</RecNum><DisplayText><styleface="superscript">[16]</style></DisplayText><record><rec-number>22</rec-number><foreign-keys><keyapp="EN"db-id="9aa0apa9kafzxlew2d9pxfaav5dexepxszrd">22</key></foreign-keys><ref-typename="Thesis">32</ref-type><contributors><authors><author>冯阿静</author></authors><tertiary-authors><author>何松柏,</author></tertiary-authors></contributors><titles><title>基于BP神经网络的功放预失真技术研究与实现</title></titles><keywords><keyword>功率放大器</keyword><keyword>非线性</keyword><keyword>数字预失真</keyword><keyword>BP神经网络</keyword></keywords><dates><year>2020</year></dates><publisher>电子科技大学</publisher><work-type>硕士</work-type><urls></urls><remote-database-provider>Cnki</remote-database-provider></record></Cite></EndNote>[\o"冯阿静,2020#22"16]等。总的来说，现有非记忆和有记忆模型基本上都分别是Taylor级数模型和Volterra级数模型的简化计算，或是便于工程设计和应用的特例ADDINEN.CITE<EndNote><Cite><Author>许丹</Author><Year>2008</Year><RecNum>23</RecNum><DisplayText><styleface="superscript">[17]</style></DisplayText><record><rec-number>23</rec-number><foreign-keys><keyapp="EN"db-id="9aa0apa9kafzxlew2d9pxfaav5dexepxszrd">23</key></foreign-keys><ref-typename="Thesis">32</ref-type><contributors><authors><author>许丹</author></authors><tertiary-authors><author>周一宇,</author></tertiary-authors></contributors><titles><title>辐射源指纹机理及识别方法研究</title></titles><keywords><keyword>电子战</keyword><keyword>辐射源识别</keyword><keyword>辐射源指纹识别</keyword><keyword>特定辐射源识别</keyword><keyword>自激振荡器</keyword><keyword>磁控管</keyword><keyword>功率放大器</keyword><keyword>Taylor级数模型</keyword><keyword>Volterra级数模型</keyword><keyword>盲辨识</keyword><keyword>相空间分类</keyword><keyword>核主元分析</keyword><keyword>瞬时频差测量</keyword><keyword>组特征</keyword><keyword>子空间核函数</keyword><keyword>鲁棒假设检验</keyword></keywords><dates><year>2008</year></dates><publisher>国防科学技术大学</publisher><work-type>博士</work-type><urls></urls><remote-database-provider>Cnki</remote-database-provider></record></Cite></EndNote>[\o"许丹,2008#23"17]。其中，MP模型是Vilterra级数模型应用和研究最广的一种简化模型，通过不同阶数和深度控制其复杂程度，在低复杂度的同时，能够保持高准确性ADDINEN.CITE<EndNote><Cite><Author>王广江</Author><Year>2019</Year><RecNum>24</RecNum><DisplayText><styleface="superscript">[18]</style></DisplayText><record><rec-number>24</rec-number><foreign-keys><keyapp="EN"db-id="9aa0apa9kafzxlew2d9pxfaav5dexepxszrd">24</key></foreign-keys><ref-typename="Thesis">32</ref-type><contributors><authors><author>王广江</author></authors><tertiary-authors><author>刘元安,</author></tertiary-authors></contributors><titles><title>基于反馈结构的预失真算法研究及FPGA实现</title></titles><keywords><keyword>数字预失真</keyword><keyword>反馈结构</keyword><keyword>低功耗</keyword><keyword>功率放大器</keyword><keyword>FPGA</keyword></keywords><dates><year>2019</year></dates><publisher>北京邮电大学</publisher><work-type>硕士</work-type><urls></urls><remote-database-provider>Cnki</remote-database-provider></record></Cite></EndNote>[\o"王广江,2019#24"18]。2006年D.R.Morgan等人ADDINEN.CITEADDINEN.CITE.DATA[\o"Morgan,2006#25"19]考虑不同延时交叉项，提出了广义记忆多项式（GeneralMemoryPolynomial，GMP）模型，针对具有较强动态非线性效应的功率放大器，提高了建模能力，然而模型超前项和滞后项的系数较多，计算复杂。2008年，ZhuAADDINEN.CITEADDINEN.CITE.DATA[\o"Zhu,2008#26"20]针对于动态效应和静态效应分离，在Volterra级数模型中引入动态偏差。AndingZhu等人ADDINEN.CITEADDINEN.CITE.DATA[\o"Zhu,2008#15"9]利用水平设置的阈值分解输入复杂的包络信号信号，通过基于动态偏差减少的Volterra级数分别处理，解决了包络跟踪系统功放的非线性失真。2017年Cuiping等人ADDINEN.CITE<EndNote><Cite><Author>Yu</Author><Year>2017</Year><RecNum>27</RecNum><DisplayText><styleface="superscript">[21]</style></DisplayText><record><rec-number>27</rec-number><foreign-keys><keyapp="EN"db-id="9aa0apa9kafzxlew2d9pxfaav5dexepxszrd">27</key></foreign-keys><ref-typename="JournalArticle">17</ref-type><contributors><authors><author>Yu,Cuiping</author><author>Wang,Guangjiang</author><author>Liu,Yuan'An</author></authors></contributors><titles><title>LowcomplexityoutputgeneralizedmemorypolynomialmodelfordigitalpredistortionofRFpoweramplifiers</title><secondary-title>InternationalJournalofRFMicrowaveComputer-AidedEngineering</secondary-title></titles><periodical><full-title>InternationalJournalofRFMicrowaveComputer-AidedEngineering</full-title></periodical><dates><year>2017</year></dates><urls></urls></record></Cite></EndNote>[\o"Yu,2017#27"21]使用先前输出信号的多项式来表征记忆效应得到了一种输出广义记忆多项式，系数的数量减少的同时获得了较优的预失真效果。还有很多基于深度学习的功放行为模型研究，杨新宇ADDINEN.CITE<EndNote><Cite><Author>杨新宇</Author><Year>2020</Year><RecNum>242</RecNum><DisplayText><styleface="superscript">[22]</style></DisplayText><record><rec-number>242</rec-number><foreign-keys><keyapp="EN"db-id="faxswx9rorsxp9eawwzp0fad0vt2pv5xr0fw"timestamp="1622277820">242</key></foreign-keys><ref-typename="Thesis">32</ref-type><contributors><authors><author>杨新宇</author></authors><tertiary-authors><author>吴芝路,</author></tertiary-authors></contributors><titles><title>基于深度学习的射频非线性系统建模与模型结构优化</title></titles><keywords><keyword>功率放大器</keyword><keyword>自适应数字预失真</keyword><keyword>深度学习</keyword><keyword>长短时记忆网络</keyword><keyword>记忆效应</keyword></keywords><dates><year>2020</year></dates><publisher>哈尔滨工业大学</publisher><work-type>硕士</work-type><urls></urls><remote-database-provider>Cnki</remote-database-provider></record></Cite></EndNote>[\o"杨新宇,2020#242"22]设计了一种以双向长短时记忆网络为基础的行为模型结构，针对某型号功放实测数据进行参数提取，最终模型误差接近实际误差。2）功放自适应数字预失真算法自适应模型算法与结构方面，通常分为直接学习和间接学习的方法。直接学习结构求取功放系统的前置逆，受噪声干扰小，在算法收敛时线性化效果较好，但是需要输出反馈信号的实时性较。相比之下，间接学习结构求功放的后置逆，收敛速度快，而且无需在算法初次迭代时估计模型系数，适用于离线学习，但是间接学习结构受功放输出信号噪声影响较大，对于强非线性功放的线性化效果不理想。功放自适应预失真算法主要有最陡下降法、割线法、离散牛顿法、RASCAL算法ADDINEN.CITE<EndNote><Cite><Author>徐志勇</Author><Year>2011</Year><RecNum>29</RecNum><DisplayText><styleface="superscript">[23]</style></DisplayText><record><rec-number>29</rec-number><foreign-keys><keyapp="EN"db-id="9aa0apa9kafzxlew2d9pxfaav5dexepxszrd">29</key></foreign-keys><ref-typename="Thesis">32</ref-type><contributors><authors><author>徐志勇</author></authors><tertiary-authors><author>殷瑞祥,</author></tertiary-authors></contributors><titles><title>射频功率放大器自适应数字预失真系统研究</title></titles><keywords><keyword>功率放大器</keyword><keyword>非线性</keyword><keyword>数字预失真</keyword><keyword>查找表</keyword><keyword>多项式方法</keyword></keywords><dates><year>2011</year></dates><publisher>华南理工大学</publisher><work-type>硕士</work-type><urls></urls><remote-database-provider>Cnki</remote-database-provider></record></Cite></EndNote>[\o"徐志勇,2011#29"23]、LMS算法ADDINEN.CITE<EndNote><Cite><Author>云涛</Author><Year>2018</Year><RecNum>30</RecNum><DisplayText><styleface="superscript">[24]</style></DisplayText><record><rec-number>30</rec-number><foreign-keys><keyapp="EN"db-id="9aa0apa9kafzxlew2d9pxfaav5dexepxszrd">30</key></foreign-keys><ref-typename="JournalArticle">17</ref-type><contributors><authors><author><styleface="normal"font="default"charset="134"size="100%">云涛</style></author></authors></contributors><auth-address><styleface="normal"font="default"charset="134"size="100%">中国电子科技集团公司第十研究所</style><styleface="normal"font="default"size="100%">;</style></auth-address><titles><title><styleface="normal"font="default"charset="134"size="100%">变步长</style><styleface="normal"font="default"size="100%">LMS</style><styleface="normal"font="default"charset="134"size="100%">算法及在数字预失真中的应用</style></title><secondary-title><styleface="normal"font="default"charset="134"size="100%">通信技术</style></secondary-title></titles><periodical><full-title>通信技术</full-title></periodical><pages>2753-2757</pages><volume>51</volume><number>11</number><keywords><keyword>自适应变步长</keyword><keyword>随机梯度下降算法</keyword><keyword>数字预失真</keyword><keyword>广义记忆多项式</keyword></keywords><dates><year>2018</year></dates><isbn>1002-0802</isbn><call-num>51-1167/TN</call-num><urls></urls><remote-database-provider>Cnki</remote-database-provider></record></Cite></EndNote>[\o"云涛,2018#30"24]、RLS算法ADDINEN.CITE<EndNote><Cite><Author>张嘉磊</Author><Year>2020</Year><RecNum>31</RecNum><DisplayText><styleface="superscript">[25]</style></DisplayText><record><rec-number>31</rec-number><foreign-keys><keyapp="EN"db-id="9aa0apa9kafzxlew2d9pxfaav5dexepxszrd">31</key></foreign-keys><ref-typename="Thesis">32</ref-type><contributors><authors><author>张嘉磊</author></authors><tertiary-authors><author>阎啸,</author></tertiary-authors></contributors><titles><title>基于记忆多项式功放模型的数字预失真算法研究与实现</title></titles><keywords><keyword>数字预失真</keyword><keyword>功率放大器</keyword><keyword>RASCAL算法</keyword><keyword>记忆多项式模型</keyword></keywords><dates><year>2020</year></dates><publisher>电子科技大学</publisher><work-type>硕士</work-type><urls></urls><remote-database-provider>Cnki</remote-da