一种适用于无线应用的小型多波段U形MIMO天线(IJWMT-V6-N5-7)
一种用于5G移动通信的宽带小型化天线[实用新型专利]
专利名称:一种用于5G移动通信的宽带小型化天线专利类型:实用新型专利
发明人:陈平,逄型栋,罗清,朱晓维,蒯振起
申请号:CN201620619384.X
申请日:20160621
公开号:CN205723933U
公开日:
20161123
专利内容由知识产权出版社提供
摘要:本实用新型涉及无线通信技术领域,尤其涉及一种用于5G移动通信的宽带小型化天线,包括金属贴片、平面等角螺旋结构天线阵元、宽带巴伦、梯形喇叭、圆环和反射地,梯形喇叭的外壁、圆环的内壁和反射地组成异形反射腔。
本实用新型针对5G低频段(6GHz以下),提出一种新颖的天线结构,通过加载圆形金属贴片和设计独特的异形反射腔等方法设计一种圆极化宽带小型化天线,尺寸简单紧凑,在3GHz—6GHz工作频段内阻抗和辐射特性性能良好,能满足5G大规模MIMO天线阵列的要求。
申请人:南京濠暻通讯科技有限公司
地址:211106 江苏省南京市江宁区秣周东路9号
国籍:CN
代理机构:常州佰业腾飞专利代理事务所(普通合伙)
代理人:翁斌
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一种小型宽带双极化5G_基站天线
第 21 卷 第 7 期2023 年 7 月Vol.21,No.7Jul.,2023太赫兹科学与电子信息学报Journal of Terahertz Science and Electronic Information Technology一种小型宽带双极化5G基站天线陈娅莉a,刘倩倩a,李山东b,宗卫华*b(青岛大学 a.电子信息学院;b.物理科学学院,山东青岛266071)摘要:设计了一种适用于2G/3G/4G/5G移动通信的小型宽带±45°双极化基站天线。
该天线由2对偶极子辐射片、2条微带馈线和1块反射板组成,辐射臂和微带馈线采用双面印刷工艺印刷在0.8 mm厚的FR4板,并固定放置于开有圆形槽的反射板上。
对天线实物进行加工测试,测试结果表明,端口1工作频段为1.82~3.60 GHz,端口2工作频段为1.64~3.41 GHz;工作频段内,反射系数小于-10 dB,端口隔离度优于18 dB;交叉极化比在视轴方向大于17 dB,±60°方向大于15 dB;半功率波束65°左右,前后比优于18 dB,测试和仿真结果较吻合。
所设计天线带宽宽,尺寸小,且制作工艺简单,成本低廉,适合批量生产,应用于5G移动通信基站中。
关键词:基站天线;5G天线;双极化天线;宽带天线;小型天线中图分类号:TN828.6 文献标志码:A doi:10.11805/TKYDA2021074A miniaturized broadband dual-polarized antenna forA miniaturized broadband dual-polarized antenna for 55G base stationCHEN Yali a,LIU Qianqian a,LI Shandong b,ZONG Weihua*b(a.School of Electronic and Information;b.School of Physics Science,Qingdao University,Qingdao Shandong 266071,China)AbstractAbstract::A ±45° dual-polarized base station antenna with a small size and a broad bandwidth for 2G/3G/4G/5G mobile communication is proposed in this paper. The proposed antenna comprises twopairs of dipole radiation patches, two microstrip feedlines and a reflector. The radiation patches andmicrostrip feedlines are printed on a FR4 substrate with a thickness of 0.8 mm, using a process calleddouble-sided printed circuit board. The reflector is grooved a circular slot and the antenna is fixed aboveit. The prototype of the proposed antenna is fabricated and measured. The results show that it has abandwidth of 1.82~3.60 GHz(port1) and 1.64~3.41 GHz(port2) respectively, during which, the reflectioncoefficient is less than -10 dB, the port isolation is better than 18 dB, the cross polarizationdiscrimination is better than 17 dB in the boresight direction, and better than 15 dB in ±60° directions,the half power beam width is approximately 65° and the front-to-rear ratio is better than 18 dB. With theadvantages of wide bandwidth, small size, simple manufacturing process and low cost, the proposedantenna is suitable for mass production and is an excellent candidate for applications in 5G mobilecommunication base station.KeywordsKeywords::base station antenna;5G antenna;dual-polarized antenna;broadband antenna;miniaturized antenna5G New Ratio是基于正交频分复用技术,拥有全新空口的全球性5G标准,可分为sub-6 GHz低频频段(0.45~ 6 GHz)和高频毫米波频段(24.25~52.6 GHz)。
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I.J. Wireless and Microwave Technologies, 2016, 5, 61-71Published Online September 2016 in MECS()DOI: 10.5815/ijwmt.2016.05.07Available online at /ijwmtA Compact Multiband U Shape MIMO Antenna for WirelessApplicationSachin S. Khade1, S.L.Badjate21Assistant Professor, Y.C.C.E., Nagpur, India2Professor,S.B.J.I.T.M.R., Nagpur, IndiaAbstractA compact multiple-input-multiple-output (MIMO) antenna with two dual-branch U shape monopoles is proposed. The isolation between two antenna element is improve by adding three dumbbell shaped DGS between them. This antenna provides multiple frequency bands i.e. 2.4/5.8-GHz for WLAN, 2.5/3.5/5.5-GHz for WiMAX and 3.1–4.8 GHz for lower UWB band operation. The Antenna provides good results with Reflection coefficients < -15 dB and Transmission Coefficients < -30 dB. The results shows that the MIMO antenna can be serve as a phone antenna and it is suitable for integration within portable devices and handheld terminals with total maximum gain up to 4.5 dB and by combining all fields it provides total maximum gain up to 3.2 dBi.Index Terms: Defective ground structure (DGS), Ground plane (GP), Multiple-input multiple output (MIMO) antenna, phone antenna, Voltage standing wave ratio (VSWR).© 2016 Published by MECS Publisher. Selection and/or peer review under responsibility of the Research Association of Modern Education and Computer Science1. IntroductionThe development of wireless multimedia technology has raised the capacity and reliability requirements of wireless communication systems. The desire of higher data transmission rates has been the driving force behind major advancements in wireless technology. However, the maximum possible data rate of a communication system is fundamentally limited by the Shannon capacity of the communication channel. In order to achieve not only higher peak data rates but also higher rates over entire coverage area, the research and development of next generation mobile systems known as the International Mobile Telecommunication (IMT)-Advanced systems is under-way worldwide. Multiple-input-multiple-output (MIMO) wireless systems, characterized by multiple antenna elements at the transmitter and receiver, have demonstrated the potential for increased capacity in rich multipath environments.*Corresponding author.E-mail address: sac_mob@Various techniques have been introduced in the literature to enhance isolation between the closely packed MIMO antenna elements. One technique is to use two novel bent slits etched on a ground plane to reduce the mutual coupling between the antenna elements [1]. Another technique involves the introduction of Defected ground plane structure to enhance the isolation between antenna elements. These defects actually introduce additional inductance (L) and capacitance(C) in the antenna structure. L and C introduced in a design realize a stop band filter between the antenna elements at the resonant frequency and hence improve the isolation [2]. Isolation can also be improved by using two U shaped slots in between two dual-broadband antenna elements [3]-[4]. One of the techniques is to use neutralization line between the elements of antenna. A T-shaped neutralization line connecting the two antennas which helps to improve the isolation for the MIMO antenna. This neutral line cancels out the coupling current on antenna structure and hence improves the isolation [4]. Properly designed resonance structure called as parasitic element near the antenna also improves the port isolation. This resonance structure consumes the coupling current to enhance the isolation [5]. Specific orientation of the antenna elements can also improves the isolation. With the change in orientation of antenna the polarization of the antenna elements are changed accordingly [6]. Antenna structure loaded with Complementary split ring resonators (CSRR) helps to reduce the area of individual patch in which CSRR acts as a LC resonant circuit [7]. Inverted L and T shaped Ground branches were applied to achieve low mutual coupling within a narrow frequency band [8]. Two simple stubs and ground strips were applied to achieve isolation between two elements and increase the bandwidth.[9] All of the aforementioned techniques decreases the reflection coefficient, and therefore a wide impedance bandwidth with high isolation is difficult to obtain. Several methods used to increase the bandwidth of Microstrip antenna in addition to the common techniques of increasing the patch height, decreasing substrate permittivity. This includes using a multilayer structure consisting of several parasitic elements with slightly different sizes above the driven element The bandwidth of the conventional patch is enlarged by using etched slots at the antenna patch. Isolation between the Microstrip elements is increased by placing metal structure between antenna elements. For more isolation between antenna elements, Slotted Ground Plane SGP is utilized [12]. The isolation is improved by introducing a round off-set structure at the end of the coupled feeding-line. The current distributions on the feed line was reduced in magnitude by a self generated counter current occur at the round off-set structure area. That is, the self generated counter current has contributed the needed isolation between the two antennas. [13].Modified serpentine structure (MSS) is proposed, which acts like a band-reject filter to reduce the coupling between the radiators in the antenna array. an isolation improvement of 34 dB for an array with reduced edge-to-edge spacing. The envelope correlation coefficient (ECC) is within the acceptable limit, making the solution viable for MIMO applications[14]. For an array antenna with a large number of patches, the gain and directivity increase by using the series, corporate or series- corporate feeding method[15].This paper focus on diversity techniques, DGS (Defective Ground plane Structure) techniques to reduced mutual coupling. A compact wideband MIMO antenna with high isolation is presented. The MIMO antenna consists of two dual-branch monopoles of size 18×15mm2. Initially, the measured isolation in the high band was very poor, but in the proposed antenna it becomes possible to enhance the isolation between the two closely packed antennas with the implementation of a new defected ground plane structure (DGS) and Microstrip matching network. The performance of the proposed two-element MIMO antenna is then analysed. This antenna resonates at 2.46 GHz, 3.72 GHz, 5.67GHz and 6.4 GHz with S11< -10 dB and S21< -18 dB is achieved.The structure of the proposed MIMO antenna is shown in Section II. In Section III, the working mechanism of the MIMO antenna is investigated. In Section IV, the simulated results of impedance, VSWR, radiation pattern, total maximum gain are discussed and finally, concluded in Section V.2. Configuration of the proposed MIMO antennaThe geometry of the proposed MIMO antenna is illustrated in Fig. 1. The MIMO antenna consists of two symmetric dual-branch monopoles. The U shape radiating element is printed on the top of structure with a partially grounded at bottom of substrate. The FR4 substrate with dimensions 52×40×1.6 mm3and relativepermittivity 4.4 is selected for design of an antenna. On the back surface of the substrate, the main rectangular ground plane of 35 mm in width and 52 mm in length is printed.I n order to reduce the mutual coupling caused by the surface currents and improve the impedance matching, defective ground plane structure is introduced. The defect in ground plane is introduced initially by using two simple rectangles. Further to improved the mutual coupling another defect with a shape of three dumbbell arms is introduced between the two radiating antenna elements.(a) (b)Fig.1. Structure of proposed MIMO antenna (a) front view (b) back viewThe proposed MIMO antenna with DGS shown in Fig. 1 was simulated. It is found that, the antenna resonates at 2.46 GHz, 3.72 GHz, 5.67GHz and 6.4 GHz with a -3dB bandwidth of 1800MHz at lower band frequencies, 5600 MHz at middle band frequencies and 1.19 GHz at higher band frequencies. The reflection coefficient S11 and S22 are found below -15 dB. while the transmission coefficient S21 and S12 are observed below -18 dB at desired resonant frequency bands as shown in figure 2. It is not only covering the 2.4/5.8-GHz WLAN, 2.5/3.5/5.5-GHz WiMAX and the lower UWB band (3.1–4.8 GHz) but also the ISM bands of 2.4 to 2.5 GHz with centre frequency of 2.45 GHz and 5.725 to 5.875 GHz with centre frequency of 5.8 GHz. The structure very simple and can be easily fabricated on FR4 substrate. The actual working mechanism of proposed antenna is explained below under the heading of working mechanism.Fig.2. Simulated S parameters of proposed MIMO antenna3. Working Mechanism3.1 Dual-Branch Monopole AntennaThe structure of dual-branch monopole antenna shown in Fig. 3 can help to understand the requirement of the proposed MIMO antenna. A simple U shape patch with Microstrip line proposed as radiator. The simulated result in figure 4, shows the comparison of single element and Dual MIMO antenna. It is found that , with single element the results are better at lower band frequencies as compared to MIMO antenna. Due to effect of mutual coupling between element the results are degrade up to some level.(a) (b)Fig.3. Structure of dual-branch monopole antenna (a) Front view (b) Back viewFig.4. Comparison between S11 of dual-branch monopole antenna and MIMO antenna.T he radiation pattern shown in Fig. 5 indicates the radiation pattern is more directive in MIMO antenna i.e, it radiates more power in specific direction and can cover more area. The two elements are spaced with very small distance so that the effect of mutual coupling degrades the overall result of antenna.Fig.5. Comparison between Simulated radiation pattern of dual-branch monopole antenna and MIMO antenna.3.2 Implementation of two rectangles on ground planeTo analyse the working mechanism of DGS, two rectangles are removed from the ground plane. This is one of the defects introduced in GP. Hence to describe its importance we have to consider two more configurations in this section.In First configuration, MIMO monopole antenna with a conventional rectangular ground plane while in second configuration, MIMO monopole antenna with two rectangles etched from ground plane. The S-parameters for the both configuration i.e. with and without DGS are given in Fig.6. Strong near-field coupling and surface current coupling are induced when the two elements are placed closely. In order to improve the reflection coefficient and the isolation, two rectangles are removed from ground plane as shown in Fig. 1. The antenna with two squares has better reflection coefficient and higher isolation than the MIMO antenna with a conventional ground plane. The results without DGS are very worst while with insertion of DGS antenna resonates in two bands. The lower band and upper band observed with reflection coefficient of -15dB at resonance frequency of 2.55 GHz and -32 dB at resonance frequency of 5.75 GHz. Due this DGS isolation is improve, although these defects had negative effect on the impedance matching. Hence , a wide impedance bandwidth was difficult to obtain. To achieve wide impedance bandwidth another defect is introduce in the ground plane. Three dumbbell arms defect is created in ground plane at the middle of geometry. These rectangular structures can help to reduce the effect of surface currents on the ground plane and improve the current distribution at the lower part of the impedance bandwidth shown in Fig. 7.Fig.6. Comparison between S parameters for antenna without and with two rectangles on ground plane.Fig.7. Average current distribution of the proposed MIMO antenna with DGS introduced on ground plane at 2.5GHz.3.3 Discussion of dumbbell arms on GPAnother defect introduced in a ground plane is a removal of three rectangles (dumbbell) from ground plane. It improved the isolation between the two antenna elements by acting as a dual-band stop-band filter with three dumbbell arms. Increasing the size of the rectangles (dumbbells) can lower down the frequency of the filter. Increasing the width of the connecting line between the dumbbells can increased the operating frequency of the filter .Also, Increasing the length of the DGS decreased the operating frequency of the filter. The surface current coupling causes mutual coupling effect . In order to reduce the ground surface current coupling the three dumbbells are introduced in between two antenna elements as shown in Figure 1. The proposed MIMO antenna depicted in Fig. 1 provides an improvement in reflection coefficient and isolation over the case with two rectangles removed from the conventional rectangular ground plane (see Fig. 8). The cutting of three dumbbells (rectangles) from the ground plane is to change the distribution of ground surface currents in between the two antenna elements.Fig.8. Comparison between S parameters for antenna without and with three dumbbell arms on ground plane.A fter introducing DGS structure, the gain of an antenna is improved. The overall gain of an antenna varies in between 2 dBi and 3.2 dBi at resonance frequencies. The figure 9 shows the 3D radiation pattern of antenna. The surface current observed in figure 7, it indicate that current desity is improved due to use of dumbbell shape DGS structure.Fig.9. 3D gain of modified antenna with DGS4. Discussions of PrototypeT he Antenna Prototype with dimension of 52×40 mm2 is designed by photo-ethylic process. The FR4 with thickness of 1.6 mm is used as dielectric material. The front view and back view of fabricated structure of proposed antenna is shown in figure 10. U shape radiators are etched on front side of prototype. The back side of prototype consists of partial ground with dumbbell shaped DGS.(a) (b)Fig.10. Prototype of the proposed MIMO antenna (a) front view (b) back view.The antenna parameters are measured with Rohde & Schwarz VNA. The measurement consists of different parameters like reflection coefficient , transmission coefficients, VSWR etc. Three bands are found at resonance frequencies of 2.5 GHz, 3.67 GHz and 5.8 GHz respectively. The measured reflection coefficient S11 is observed upto-28.09 dB. similarly S22 is observed up to -15.78 dB at same resonance frequency which is < -10 dB as shown in fig. 11.Fig.11. S11 and S22 results of fabricated antennaAnother important parameter i.e. transmission coefficient of antenna which indicates the mutual coupling between the antenna elements. The figure 12 shows the value of transmission coefficient at respective resonance frequency. The maximum measured transmission coefficient S12 and S21 is found to be up to -26.28 dB and -26.83 dB respectively which is less than -25 dB. Hence it indicates there is good isolation achieved between the two radiating elements due the insertion of dumbbell shape DGS.Fig.12. S21 and S12 results of fabricated antennaThe Voltage standing wave ratio The VSWR of prototype is observed in between 1 to 2 for middle and upper band as shown in fig.13.Fig.13. VSWR results of fabricated antenna5. Related WorkMIMO technology has emerged as a new paradigm to achieve very high bandwidth efficiencies, large data rates and reliability in modern wireless communication. The MIMO technology was first studied by the PioneerFoschini in 1998. It consists of multiple antennas at both transmitter and receiver. MIMO antenna designing aspects like radiation pattern, impedance and VSWR of antenna, mutual coupling reduction techniques, correlation between the antennas, polarization pattern and their impact on channel capacity etc. plays an important role in achieving high data rate. During design of MIMO antenna researcher faced various problems like mutual coupling between elements, reduction in gain, less antenna efficiency, less data rate etc. Due these problems antenna performance is degrading. Recently researcher try to overcome these problems by adopting various performance improving techniques like- diversity techniques, DGS, insertion of parasitic element , neutralization line etc. Researcher design MIMO antenna with different configurations and number of elements varies between two to four elements [1,4].6. ConclusionsAntenna of dimension 52×40×1.6 mm3provides the impedance nearly equal to 50 ohm for the required frequencies. The compact sizes of the monopole and the ground plane are 16×15mm2and 52×40 mm2 respectively. The antenna resonates at 2.46 GHz, 3.72 GHz, 5.67GHz and 6.4 GHz with a -3dB bandwidth of 1800MHz at lower band frequencies, 5600 MHz at middle band frequencies and 1.19 GHz at higher band frequencies. The reflection coefficient S11 and S22 are found below -15 dB. while the transmission coefficient S21 and S12 are observed below -18 dB at desired resonant frequency bands. The resonant modes at 5.67 and 6.4 GHz are excited by the dumbbell arms to widen the impedance bandwidth. A cutting of two rectangles from the ground plane has been introduced to change the distribution of ground surface currents and to decrease the mutual coupling caused by near-field so that the isolation of the proposed antenna can be further enhanced. The results show that the proposed antenna can be used for wireless internet access application which include WLAN, WiMAX and Wi-Fi so it can serve as a phone antenna to avoid multipath fading by providing spatial and pattern diversity. Impedance matching at lower frequency is achieved using three dumbbell arms on the GP. Voltage standing wave ratio (VSWR) ranges between 1 and 2 at desired frequencies. Antenna resonates at 2.46 GHz, 3.72 GHz, 5.67GHz and 6.4 GHz. It provides multiband with a total maximum gain of 3.2 dBi.References[1]Jian-Feng Li, Qing-Xin Chu, and Tian-Gui Huang,“A Compact Wideband MIMO Antenna With TwoNovel Bent Slits,” IEEE Trans. on antennas and propagation, vol. 60, no. 2, Feb 2012.[2]Mohammad S. Sharawi, Ahmed B. Numan, Muhammad U. Khan, and Daniel N. Aloi, “A Dual-ElementDual-Band MIMO Antenna System with Enha nced Isolation for Mobile Terminals,” IEEE antennas and wireless propagation letters, Vol. 11, 2012.[3]Xiang Zhou, XuLin Quan, and RongLin Li, Senior Member, IEEE, “A Dual-Broadband MIMO AntennaSystem for GSM/UMTS/LTE and WLAN Handsets,” IEEE antennas and w ireless propagation letters, Vol.11, 2012[4]Jian-Feng Li and Qing-Xin Chu, “Tri-Band Antenna with Compact Conventional Phone Antenna andWideband MIMO Antenna,” IEEE 2012.[5]Zhengyi Li, Zhengwei Du, and Ke Gong, “A Dual-slot Diversity Antenna with Isolation EnhancementUsing Parasitic Elements for Mobile Handsets,” IEEE 2009.[6]Chun-Xu Mao, Qing-Xin Chu, “Compact Co-Radiator UWB-MIMO Antenna with Dual Polarization,”IEEE 2013.[7]Muhammad U. Khan and Mohammad S. Sharawi, Ashley Steffes and Daniel N. Aloi,“A 4-element MIMOAntenna System Loaded with CSRRs and Patch Antenna Elements” IEEE 2013.[8]Jian-Feng Li, Qing-Xin Chu, Senior Member, IEEE, Zhi-Hui Li, and Xing-Xing Xia “Compact DualBand-Notched UWB MIMO Antenna With High Isolation”, IEEE Transaction on antennas and propagation, Vol. 61, no. 9, September 2013.A Compact Multiband U Shape MIMO Antenna for Wireless Application 71[9]Yuan Ding, Zhengwei Du, Ke Gong, and Zhenghe Feng, “A Novel Dual-Band Printed Diversity Antennafor Mobile Terminals”, IEEE Trans. on analysis and propagation, Vol. 55, NO. 7, july 2007[10]L. Liu, S. W. C heung, T. I. Yuk and D. Wu, “A Compact Ultra wideband MIMO Antenna”, 7th EuropeanConference on Antennas and Propagation (EuCAP) 2013.[11]Muhammad U. Khan, Mohammad S. Sharawi , Daniel N. Aloi, “A multi-band 2×1 MIMO antenna systemconsisting of CSRR loaded patch elements”, IEEE 2013.[12]A.A. Zekry A.A. Asaker , R.S. Ghoname"Design of a Planar MIMO Antenna forLTE-Advanced"International Journal of Computer Applications (0975 – 8887) Volume 115 – No. 12, April 2015[13]Cho-Jung Lee, #Lih-Tyng Hwang, T.-S. Jason Horng, Shun-Min Wang, Yi-Chieh Lin, and Kun-Hui Lin,"A MIMO Antenna with Built-In Isolation for WLAN USB Dongle Applications"Asia-Pacific Microwave Conference Proceedings, 2013.[14]Henridass Arun, Aswathy K. Sarma, Malathi Kanagasabai,,"Deployment of Modified Serpentine Structurefor Mutual Coupling Reduction in MIMO Antennas"IEEE antennas and wireless propagation letters, vol.13, 2014.[15]Hayat Errifi, Abdennaceur Baghdad, Abdelmajid Badri, Aicha Sahel, " Radiation CharacteristicsEnhancement of Microstrip Triangular Patch Antenna using Several Array Structures", International Journal Wireless and Microwave Technologies, 2015.Authors’ ProfilesSachin S. Khade(born December 31, 1976) is working as Assistant Professor inDepartment of Electronics and Telecommunication Engineering at Yashwantrao ChavanCollege of Engineering, Nagpur, India. He is passionately interested in simulation andmodeling of electronic circuits, including RF circuits and Antenna. He has published morethan fourteen research papers on a wide variety of topics in the domain of Antenna andmicrowaves. He has about six years of industry experience and more than ten years ofacademic experience. Simulation and modeling of RF/microwave components, sub-systems,and systems are one of his key passions. He is a Member of IEEE, ISTE, IACSIT, IAENG, UACEE and ISRD.Sanjay L. Badjate is working as a Principal at S.B. Jain institute of TechnologyManagement and Research. He has total teaching experience 24 years, administrativeexperience of 15 years and 5 years in Research and Development. He has got more than 65research papers to his credit in international and national Journals and Conferences. He hasco-authored various research papers on a wide variety of topics. He is a reviewer of manyreputed international Journals and member programme committee of various National &International Conferences. He has completed his B.E. from Nagpur University and M.Efrom Devi Ahilyabai University, Indore & completed Ph. D from Amravati University, Amravati. His areas of interest are Artificial Neural Network (ANN), soft computing; signal processing, RF/ Microwave & Biomedical engineering etc. He is a Life member of ISTE & Fellow member of IETE.How to cite this paper: Sachin S. Khade, S.L.Badjate,"A Compact Multiband U Shape MIMO Antenna for Wireless Application",International Journal of Wireless and Microwave Technologies(IJWMT), Vol.6, No.5, pp.61-71, 2016.DOI: 10.5815/ijwmt.2016.05.07。