Article(id=1239136722991240148, tenantId=1146029695717560320, journalId=1238841944844054536, issueId=1239136718008414574, articleNumber=null, orderNo=null, doi=10.12347/j.ycyk.20250227005, pmid=null, cstr=32406.14.ycyk.20250227005, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1740585600000, receivedDateStr=2025-02-27, revisedDate=1742400000000, revisedDateStr=2025-03-20, acceptedDate=null, acceptedDateStr=null, onlineDate=1773362816808, onlineDateStr=2026-03-13, pubDate=1752508800000, pubDateStr=2025-07-15, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1773362816808, onlineIssueDateStr=2026-03-13, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1773362816808, creator=13701087609, updateTime=1773362816808, updator=13701087609, issue=Issue{id=1239136718008414574, tenantId=1146029695717560320, journalId=1238841944844054536, year='2025', volume='46', issue='4', pageStart='1', pageEnd='148', issueExtLink='null', onlineDate='null', pubDate='null', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1773362815620, creator=13701087609, updateTime=1773393299751, updator=13701087609, preIssue=null, nextIssue=null, ext={EN=IssueExt(id=1239264577775522632, tenantId=1146029695717560320, journalId=1238841944844054536, issueId=1239136718008414574, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1239264577775522633, tenantId=1146029695717560320, journalId=1238841944844054536, issueId=1239136718008414574, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null}, startPage=33, endPage=39, ext={EN=ArticleExt(id=1239136723318395866, articleId=1239136722991240148, tenantId=1146029695717560320, journalId=1238841944844054536, language=EN, title=A High Area-Efficient 2~18 GHz True Delay Circuit Design for Multi-Antenna Systems, columnId=1239136720231395698, journalTitle=Journal of Telemetry, Tracking and Command, columnName=Microwave and Millimeter Wave Technology, runingTitle=null, highlight=null, articleAbstract=
With the continuous advancement of radar technology, broadband phased array radar has been widely applied in fields such as remote sensing, environmental monitoring, and 5G base station communications due to its high resolution, multi-tasking capability, and adaptability to complex electromagnetic environments. However, traditional phased array radars rely on phase shifters to control beam direction, which can lead to beam squint in broadband applications, ultimately reducing detection accuracy. To address this issue, this paper presents a high-area-efficiency true time delay (TTD) circuit based on an artificial transmission line(ATL) delay unit. Fabricated using a 0.13 μm SiGe BiCMOS process, the TTD circuit operates across the frequency range from S to Ku bands and features a 6-bit digital delay control, achieving a minimum delay resolution of 6 ps and a maximum delay of 378 ps. The circuit incorporates delay reference paths with T-type and π-type attenuator structures, ensuring optimal gain matching with the delay units. Additionally, by integrating passive switches and distributed cascaded gain equalizers, the design enhances delay accuracy and gain flatness. Through HFSS optimization of spacing of inductors in the ATL delay unit, the layout efficiently reduces inductor area consumption. As a result, the fabricated chip measures only 3 mm × 0.9 mm, offering a delay density of 141.6 ps per unit area. Measurement results show that the root mean square (RMS) delay error across all states is less than 5.9 ps, while the circuit exhibits a gain performance of -5.5 to -1 dB within its operating frequency range under a 2.5V power supply. This work makes a significant contribution to the development of high-performance phased array radar systems.
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随着现代雷达技术的持续发展,宽带相控阵雷达因其高分辨率、多任务处理能力以及能适应复杂电磁环境的特性,在遥感与环境检测、5G基站通信等领域得到了广泛应用。然而,传统的相控阵雷达主要依赖移相器来控制波束指向,这种方法在宽带应用中会导致波束偏斜使雷达探测精度降低。为此,本文提出了一种基于人工传输线(Artificial Transmission Line,ATL)延迟单元的高面积效率真延迟(True Time Delay,TTD)电路。该电路芯片采用0.13 μm SiGe BiCMOS工艺,TTD电路的工作频率覆盖S波段到Ku波段,通过6位数字信号控制延时,具有最小6 ps的延迟分辨率和378 ps的最大延迟。TTD电路设计中采用了T型和π型衰减器结构的延时参考路径,与延时单元的增益曲线进行良好匹配。通过在芯片中集成无源开关和分散级联增益均衡器,实现更高的延迟精度和增益平坦度。通过HFSS(高频结构模拟器)对ATL延时单元中的电感间距优化,显著减少了电感占用的面积。最终,所设计的芯片尺寸仅为3 mm×0.9 mm,每单位面积具有141.6 ps的延迟时间。测量结果显示:TTD电路全状态均方根延时误差小于5.9 ps,芯片在2.5 V电压供电下的工作频率范围内表现出-5.5 ~ -1 dB的增益性能,为高性能相控阵雷达的发展提供了有力支撑。
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1.School of Integrated Circuits, Xidian University, Xi’an 710126, China
2.Xi’an Key Laboratory of Reconfigurable Chips and Materials, Xi’an 710071, China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1239263355148497088, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, authorId=1239263354972336311, language=CN, stringName=黄子凡, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=
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1西安电子科技大学集成电路学部 西安 710126
2西安市可重构芯片及材料重点实验室 西安 710071, bio={"content":"
黄子凡 2003年生,博士研究生。
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黄子凡 2003年生,博士研究生。
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1.School of Integrated Circuits, Xidian University, Xi’an 710126, China
2.Xi’an Key Laboratory of Reconfigurable Chips and Materials, Xi’an 710071, China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1239263355484041428, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, authorId=1239263355316269257, language=CN, stringName=王子彧, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=
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1西安电子科技大学集成电路学部 西安 710126
2西安市可重构芯片及材料重点实验室 西安 710071, bio={"content":"
王子彧 1996年生,博士研究生。
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王子彧 1996年生,博士研究生。
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1.School of Integrated Circuits, Xidian University, Xi’an 710126, China
2.Xi’an Key Laboratory of Reconfigurable Chips and Materials, Xi’an 710071, China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1239263355807002852, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, authorId=1239263355601481946, language=CN, stringName=刘马良, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=
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1西安电子科技大学集成电路学部 西安 710126
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刘马良 1985年生,博士,教授,博士生导师。
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刘马良 1985年生,博士,教授,博士生导师。
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1.School of Integrated Circuits, Xidian University, Xi’an 710126, China), AuthorCompanyExt(id=1239263354750038184, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, companyId=1239263354737455269, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=
1西安电子科技大学集成电路学部 西安 710126)]), AuthorCompany(id=1239263354838118574, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, xref=2., ext=[AuthorCompanyExt(id=1239263354842312879, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, companyId=1239263354838118574, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=
2.Xi’an Key Laboratory of Reconfigurable Chips and Materials, Xi’an 710071, China), AuthorCompanyExt(id=1239263354850701488, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, companyId=1239263354838118574, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=
2西安市可重构芯片及材料重点实验室 西安 710071)])], figs=[ArticleFig(id=1239263357061099821, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, language=EN, label=Fig. 1, caption=
TTD circuit architecture, figureFileSmall=wNVgwecWSf4/qzcmzX2lPw==, figureFileBig=5OqnC8RfS8sp7p+s0oDOuw==, tableContent=null), ArticleFig(id=1239263357153374514, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, language=CN, label=图1, caption=
TTD电路架构, figureFileSmall=wNVgwecWSf4/qzcmzX2lPw==, figureFileBig=5OqnC8RfS8sp7p+s0oDOuw==, tableContent=null), ArticleFig(id=1239263357262426423, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, language=EN, label=Fig. 2, caption=
Delay unit circuit structure, figureFileSmall=zAoPTtLMemoC+BeLhb4WfA==, figureFileBig=2r2U/K9nG62O1jGv+p2yJg==, tableContent=null), ArticleFig(id=1239263357329535292, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, language=CN, label=图2, caption=
延迟单元电路结构, figureFileSmall=zAoPTtLMemoC+BeLhb4WfA==, figureFileBig=2r2U/K9nG62O1jGv+p2yJg==, tableContent=null), ArticleFig(id=1239263357421809983, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, language=EN, label=Fig. 3, caption=
The relationship between inductance distance and delay time, figureFileSmall=8ZKfT45Xpw8BQcNoG/uTdg==, figureFileBig=g60+/R3dk1/AaPmM+UESnQ==, tableContent=null), ArticleFig(id=1239263357514084677, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, language=CN, label=图3, caption=
电感间距与延迟时间的关系, figureFileSmall=8ZKfT45Xpw8BQcNoG/uTdg==, figureFileBig=g60+/R3dk1/AaPmM+UESnQ==, tableContent=null), ArticleFig(id=1239263357597970761, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, language=EN, label=Fig. 4, caption=
Reference path circuit structure, figureFileSmall=1GPufbBmwAmy+BiDw4vcpQ==, figureFileBig=u1mhRaeZnRd1/gktxI6G8w==, tableContent=null), ArticleFig(id=1239263357686051150, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, language=CN, label=图4, caption=
参考路径电路结构, figureFileSmall=1GPufbBmwAmy+BiDw4vcpQ==, figureFileBig=u1mhRaeZnRd1/gktxI6G8w==, tableContent=null), ArticleFig(id=1239263357774131538, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, language=EN, label=Fig. 5, caption=
Schematic (a) and simulation result of the SPDT switch (b), figureFileSmall=C0jMqES28EKkefLfgJDThg==, figureFileBig=KjR25/J5pEkxDPY13E7otw==, tableContent=null), ArticleFig(id=1239263357837046103, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, language=CN, label=图5, caption=
SPDT开关的原理图(a)和仿真结果(b), figureFileSmall=C0jMqES28EKkefLfgJDThg==, figureFileBig=KjR25/J5pEkxDPY13E7otw==, tableContent=null), ArticleFig(id=1239263357933515099, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, language=EN, label=Fig. 6, caption=
Schematic (a) and simulation result of the DPDT switch (b), figureFileSmall=EiEisM7SsIF5QZ0WaJvCtA==, figureFileBig=Oewwjuc4R0OGt34A2cqgfw==, tableContent=null), ArticleFig(id=1239263358025789793, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, language=CN, label=图6, caption=
DPDT开关的原理图(a)和仿真结果(b), figureFileSmall=EiEisM7SsIF5QZ0WaJvCtA==, figureFileBig=Oewwjuc4R0OGt34A2cqgfw==, tableContent=null), ArticleFig(id=1239263358122258794, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, language=EN, label=Fig. 7, caption=
The simulation return loss and gain for amplifiers on the three stages in the TTD, figureFileSmall=4bYtv0gy3Q4oInZwWaK4tg==, figureFileBig=XOMqBtcDRSqbn+bp3lQl1A==, tableContent=null), ArticleFig(id=1239263358290030959, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, language=CN, label=图7, caption=
TTD中三个增益均衡器的回波损耗和增益, figureFileSmall=4bYtv0gy3Q4oInZwWaK4tg==, figureFileBig=XOMqBtcDRSqbn+bp3lQl1A==, tableContent=null), ArticleFig(id=1239263358394888564, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, language=EN, label=Fig. 8, caption=
Micrograph of the TTD, figureFileSmall=Bg09iqdFR/vXZyAYmk/l1Q==, figureFileBig=CFOSEn6fGiyZ8UReCYQTTQ==, tableContent=null), ArticleFig(id=1239263358491357563, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, language=CN, label=图8, caption=
TTD的显微照片, figureFileSmall=Bg09iqdFR/vXZyAYmk/l1Q==, figureFileBig=CFOSEn6fGiyZ8UReCYQTTQ==, tableContent=null), ArticleFig(id=1239263358592020866, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, language=EN, label=Fig. 9, caption=
Test environment of the TTD, figureFileSmall=rD80AQkBobvjQvzgYK0iYg==, figureFileBig=w8cVD+VrTeRCetN4UwuG2w==, tableContent=null), ArticleFig(id=1239263358654935430, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, language=CN, label=图9, caption=
TTD的测试环境, figureFileSmall=rD80AQkBobvjQvzgYK0iYg==, figureFileBig=w8cVD+VrTeRCetN4UwuG2w==, tableContent=null), ArticleFig(id=1239263358755598733, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, language=EN, label=Fig. 10, caption=
S21 measured and simulated result, figureFileSmall=p7AU0QtB5Rxc1MiiwKWNiA==, figureFileBig=JRxgsVJBIYXPI7Fc1PO4Rw==, tableContent=null), ArticleFig(id=1239263358826901910, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, language=CN, label=图10, caption=
S21的测量与仿真结果, figureFileSmall=p7AU0QtB5Rxc1MiiwKWNiA==, figureFileBig=JRxgsVJBIYXPI7Fc1PO4Rw==, tableContent=null), ArticleFig(id=1239263358902399388, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, language=EN, label=Fig. 11, caption=
The measured relative time-delay for 64 states, figureFileSmall=qxNq7ebbaFE//Ql2YBqZyA==, figureFileBig=BdnKJHY2b9JzHM6pfJfyBA==, tableContent=null), ArticleFig(id=1239263358977896865, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, language=CN, label=图11, caption=
64种状态相对时间延迟, figureFileSmall=qxNq7ebbaFE//Ql2YBqZyA==, figureFileBig=BdnKJHY2b9JzHM6pfJfyBA==, tableContent=null), ArticleFig(id=1239263359074365864, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, language=EN, label=Fig. 12, caption=
The measured RMS time-delay error, figureFileSmall=APd6FqLeZxYOkLanlqowfw==, figureFileBig=kOtxLDKkfS0mT/zHjQGCzw==, tableContent=null), ArticleFig(id=1239263359166640556, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, language=CN, label=图12, caption=
RMS时间延迟误差, figureFileSmall=APd6FqLeZxYOkLanlqowfw==, figureFileBig=kOtxLDKkfS0mT/zHjQGCzw==, tableContent=null), ArticleFig(id=1239263359254720944, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, language=EN, label=Table 1, caption=
Performance comparison of recent TTD circuit
, figureFileSmall=null, figureFileBig=null, tableContent=
| Ref. | This work | [9] | [10] | [11] | [20] |
|---|
| Tech | 0.13 μm BICMOS | 0.18 μm CMOS | 0.25 μm pHEMT | 0.13 μm CMOS | 40 nm CMOS |
| Freq. (GHz) | 2-18 | 8-18 | 6-18 | 2-18 | 5-23 |
| Range/Step(ps) | 378/6 | 125/3.9 | 255/1 | 198/0.8 | 125/17.85 |
| RMS error(ps) | < 5.9 | <3.3 | 1.7 | 3 | 10 |
| IL (dB) | 1-5.5 | 15.2-23.3 | -12 | -10 | 4.5 |
| IP1 dB (dBm) | -6.2 - -3.5 | 18 | 16.5 | -0.5 | -2.7 |
| Power (mW) | 140 | ≈ 0 | 1 600 | 370 | 55.8 |
| Die Area (mm2) | 2.67 | 2 | 20 | 5.28 | 0.85 |
| Delay per Area (ps/mm2) | 141.6 | 62.5 | 12.75 | 37.5 | 147 |
), ArticleFig(id=1239263359342801334, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1239136722991240148, language=CN, label=表1, caption=
近年来TTD电路的性能比较
, figureFileSmall=null, figureFileBig=null, tableContent=
| Ref. | This work | [9] | [10] | [11] | [20] |
|---|
| Tech | 0.13 μm BICMOS | 0.18 μm CMOS | 0.25 μm pHEMT | 0.13 μm CMOS | 40 nm CMOS |
| Freq. (GHz) | 2-18 | 8-18 | 6-18 | 2-18 | 5-23 |
| Range/Step(ps) | 378/6 | 125/3.9 | 255/1 | 198/0.8 | 125/17.85 |
| RMS error(ps) | < 5.9 | <3.3 | 1.7 | 3 | 10 |
| IL (dB) | 1-5.5 | 15.2-23.3 | -12 | -10 | 4.5 |
| IP1 dB (dBm) | -6.2 - -3.5 | 18 | 16.5 | -0.5 | -2.7 |
| Power (mW) | 140 | ≈ 0 | 1 600 | 370 | 55.8 |
| Die Area (mm2) | 2.67 | 2 | 20 | 5.28 | 0.85 |
| Delay per Area (ps/mm2) | 141.6 | 62.5 | 12.75 | 37.5 | 147 |
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